http://www.physicsbook.gatech.edu/api.php?action=feedcontributions&feedformat=atom&user=Rchawla32 2026-05-12T11:35:07Z User contributions MediaWiki 1.42.7 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=18368 2015-12-06T02:18:25Z

<p>Rchawla32: /* Connectedness */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material. The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest. [http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm]<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] [https://en.wikipedia.org/wiki/Bragg%27s_law]<br /> n is simply an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> '''How is this topic connected to something that you are interested in?'''<br /> <br /> Electromagnetic radiation is all around us and I chose this topic after reading chapter 23 in the textbook, I did additional reading on the topics and learned that EM Radiation is related to Bragg's Law.<br /> <br /> '''How is it connected to your major?'''<br /> <br /> As a Materials Science &amp; Engineering major, I have encountered this topic in one of the chapters of MSE2001. It is important for understanding crystal lattice properties. <br /> <br /> '''Is there an interesting industrial application?'''<br /> <br /> Bragg's Law is an important part of [http://www.ruppweb.org/Xray/101index.html X-Ray Crystallography].<br /> <br /> ==History==<br /> <br /> was first proposed by William Lawrence Bragg and in the early 20th century in response to their discovery that crystalline solids produced surprising patterns of reflected X-rays. Bragg (1890-1971) presented his derivation of the reflection condition at a meeting of the Cambridge Philosophical Society on 11 November 1912. Although simple, Bragg's law confirmed the existence of real particles at the atomic scale, as well as providing a powerful new tool for studying crystals in the form of X-ray and neutron diffraction. William Lawrence Bragg was 25 years old, making him then, the youngest physics Nobel laureate.<br /> <br /> [http://reference.iucr.org/dictionary/Bragg's_law]<br /> <br /> == See also ==<br /> <br /> ===Further reading===<br /> <br /> [http://physicsbook.gatech.edu/William_Lawrence_Bragg William Lawrence Bragg]<br /> <br /> ===External links===<br /> [http://www.britannica.com/science/Bragg-law Britannica - Bragg's Law]<br /> <br /> ==References==<br /> <br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> http://www.vanbokhoven.ethz.ch/education/XRD_excercises<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=18360 2015-12-06T02:17:30Z

<p>Rchawla32: /* History */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material. The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest. [http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm]<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] [https://en.wikipedia.org/wiki/Bragg%27s_law]<br /> n is simply an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> '''How is this topic connected to something that you are interested in?'''<br /> <br /> Electromagnetic radiation is all around us and I chose this topic after reading chapter 23 in the textbook, I did additional reading on the topics and learned that EM Radiation is related to Bragg's Law.<br /> <br /> '''How is it connected to your major?'''<br /> <br /> As a Materials Science &amp; Engineering major, I have encountered this topic in one of the chapters of MSE2001. It is important for understanding crystal lattice properties. <br /> <br /> '''Is there an interesting industrial application?'''<br /> <br /> Bragg's Law is an important part of X-ray crystallography.<br /> <br /> ==History==<br /> <br /> was first proposed by William Lawrence Bragg and in the early 20th century in response to their discovery that crystalline solids produced surprising patterns of reflected X-rays. Bragg (1890-1971) presented his derivation of the reflection condition at a meeting of the Cambridge Philosophical Society on 11 November 1912. Although simple, Bragg's law confirmed the existence of real particles at the atomic scale, as well as providing a powerful new tool for studying crystals in the form of X-ray and neutron diffraction. William Lawrence Bragg was 25 years old, making him then, the youngest physics Nobel laureate.<br /> <br /> [http://reference.iucr.org/dictionary/Bragg's_law]<br /> <br /> == See also ==<br /> <br /> ===Further reading===<br /> <br /> [http://physicsbook.gatech.edu/William_Lawrence_Bragg William Lawrence Bragg]<br /> <br /> ===External links===<br /> [http://www.britannica.com/science/Bragg-law Britannica - Bragg's Law]<br /> <br /> ==References==<br /> <br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> http://www.vanbokhoven.ethz.ch/education/XRD_excercises<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=18319 2015-12-06T02:12:03Z

<p>Rchawla32: /* Connectedness */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material. The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest. [http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm]<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] [https://en.wikipedia.org/wiki/Bragg%27s_law]<br /> n is simply an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> '''How is this topic connected to something that you are interested in?'''<br /> <br /> Electromagnetic radiation is all around us and I chose this topic after reading chapter 23 in the textbook, I did additional reading on the topics and learned that EM Radiation is related to Bragg's Law.<br /> <br /> '''How is it connected to your major?'''<br /> <br /> As a Materials Science &amp; Engineering major, I have encountered this topic in one of the chapters of MSE2001. It is important for understanding crystal lattice properties. <br /> <br /> '''Is there an interesting industrial application?'''<br /> <br /> Bragg's Law is an important part of X-ray crystallography.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> ===Further reading===<br /> <br /> [http://physicsbook.gatech.edu/William_Lawrence_Bragg William Lawrence Bragg]<br /> <br /> ===External links===<br /> [http://www.britannica.com/science/Bragg-law Britannica - Bragg's Law]<br /> <br /> ==References==<br /> <br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> http://www.vanbokhoven.ethz.ch/education/XRD_excercises<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=18309 2015-12-06T02:11:14Z

<p>Rchawla32: /* Examples */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material. The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest. [http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm]<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] [https://en.wikipedia.org/wiki/Bragg%27s_law]<br /> n is simply an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> <br /> Electromagnetic radiation is all around us and I chose this topic after reading chapter 23 in the textbook, I did additional reading on the topics and learned that EM Radiation is related to Bragg's Law.<br /> <br /> #How is it connected to your major?<br /> <br /> As a Materials Science &amp; Engineering major, I have encountered this topic in one of the chapters of MSE2001. It is important for understanding crystal lattice properties. <br /> <br /> #Is there an interesting industrial application?<br /> <br /> Bragg's Law is an important part of X-ray crystallography.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> ===Further reading===<br /> <br /> [http://physicsbook.gatech.edu/William_Lawrence_Bragg William Lawrence Bragg]<br /> <br /> ===External links===<br /> [http://www.britannica.com/science/Bragg-law Britannica - Bragg's Law]<br /> <br /> ==References==<br /> <br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> http://www.vanbokhoven.ethz.ch/education/XRD_excercises<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=18305 2015-12-06T02:10:49Z

<p>Rchawla32: /* References */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material. The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest. [http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm]<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] [https://en.wikipedia.org/wiki/Bragg%27s_law]<br /> n is simply an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> <br /> Electromagnetic radiation is all around us and I chose this topic after reading chapter 23 in the textbook, I did additional reading on the topics and learned that EM Radiation is related to Bragg's Law.<br /> <br /> #How is it connected to your major?<br /> <br /> As a Materials Science &amp; Engineering major, I have encountered this topic in one of the chapters of MSE2001. It is important for understanding crystal lattice properties. <br /> <br /> #Is there an interesting industrial application?<br /> <br /> Bragg's Law is an important part of X-ray crystallography.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> ===Further reading===<br /> <br /> [http://physicsbook.gatech.edu/William_Lawrence_Bragg William Lawrence Bragg]<br /> <br /> ===External links===<br /> [http://www.britannica.com/science/Bragg-law Britannica - Bragg's Law]<br /> <br /> ==References==<br /> <br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> http://www.vanbokhoven.ethz.ch/education/XRD_excercises<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=18299 2015-12-06T02:10:30Z

<p>Rchawla32: /* The Main Idea */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material. The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest. [http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm]<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] [https://en.wikipedia.org/wiki/Bragg%27s_law]<br /> n is simply an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> <br /> Electromagnetic radiation is all around us and I chose this topic after reading chapter 23 in the textbook, I did additional reading on the topics and learned that EM Radiation is related to Bragg's Law.<br /> <br /> #How is it connected to your major?<br /> <br /> As a Materials Science &amp; Engineering major, I have encountered this topic in one of the chapters of MSE2001. It is important for understanding crystal lattice properties. <br /> <br /> #Is there an interesting industrial application?<br /> <br /> Bragg's Law is an important part of X-ray crystallography.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> ===Further reading===<br /> <br /> [http://physicsbook.gatech.edu/William_Lawrence_Bragg William Lawrence Bragg]<br /> <br /> ===External links===<br /> [http://www.britannica.com/science/Bragg-law Britannica - Bragg's Law]<br /> <br /> ==References==<br /> <br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> http://www.vanbokhoven.ethz.ch/education/XRD_excercises<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=18295 2015-12-06T02:09:47Z

<p>Rchawla32: /* References */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] [https://en.wikipedia.org/wiki/Bragg%27s_law]<br /> n is simply an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> <br /> Electromagnetic radiation is all around us and I chose this topic after reading chapter 23 in the textbook, I did additional reading on the topics and learned that EM Radiation is related to Bragg's Law.<br /> <br /> #How is it connected to your major?<br /> <br /> As a Materials Science &amp; Engineering major, I have encountered this topic in one of the chapters of MSE2001. It is important for understanding crystal lattice properties. <br /> <br /> #Is there an interesting industrial application?<br /> <br /> Bragg's Law is an important part of X-ray crystallography.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> ===Further reading===<br /> <br /> [http://physicsbook.gatech.edu/William_Lawrence_Bragg William Lawrence Bragg]<br /> <br /> ===External links===<br /> [http://www.britannica.com/science/Bragg-law Britannica - Bragg's Law]<br /> <br /> ==References==<br /> <br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> http://www.vanbokhoven.ethz.ch/education/XRD_excercises<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=18288 2015-12-06T02:09:24Z

<p>Rchawla32: /* A Mathematical Model */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] [https://en.wikipedia.org/wiki/Bragg%27s_law]<br /> n is simply an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> <br /> Electromagnetic radiation is all around us and I chose this topic after reading chapter 23 in the textbook, I did additional reading on the topics and learned that EM Radiation is related to Bragg's Law.<br /> <br /> #How is it connected to your major?<br /> <br /> As a Materials Science &amp; Engineering major, I have encountered this topic in one of the chapters of MSE2001. It is important for understanding crystal lattice properties. <br /> <br /> #Is there an interesting industrial application?<br /> <br /> Bragg's Law is an important part of X-ray crystallography.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> ===Further reading===<br /> <br /> [http://physicsbook.gatech.edu/William_Lawrence_Bragg William Lawrence Bragg]<br /> <br /> ===External links===<br /> [http://www.britannica.com/science/Bragg-law Britannica - Bragg's Law]<br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> http://www.vanbokhoven.ethz.ch/education/XRD_excercises<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=18279 2015-12-06T02:07:41Z

<p>Rchawla32: /* See also */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> <br /> Electromagnetic radiation is all around us and I chose this topic after reading chapter 23 in the textbook, I did additional reading on the topics and learned that EM Radiation is related to Bragg's Law.<br /> <br /> #How is it connected to your major?<br /> <br /> As a Materials Science &amp; Engineering major, I have encountered this topic in one of the chapters of MSE2001. It is important for understanding crystal lattice properties. <br /> <br /> #Is there an interesting industrial application?<br /> <br /> Bragg's Law is an important part of X-ray crystallography.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> ===Further reading===<br /> <br /> [http://physicsbook.gatech.edu/William_Lawrence_Bragg William Lawrence Bragg]<br /> <br /> ===External links===<br /> [http://www.britannica.com/science/Bragg-law Britannica - Bragg's Law]<br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> http://www.vanbokhoven.ethz.ch/education/XRD_excercises<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=18276 2015-12-06T02:07:22Z

<p>Rchawla32: /* External links */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> <br /> Electromagnetic radiation is all around us and I chose this topic after reading chapter 23 in the textbook, I did additional reading on the topics and learned that EM Radiation is related to Bragg's Law.<br /> <br /> #How is it connected to your major?<br /> <br /> As a Materials Science &amp; Engineering major, I have encountered this topic in one of the chapters of MSE2001. It is important for understanding crystal lattice properties. <br /> <br /> #Is there an interesting industrial application?<br /> <br /> Bragg's Law is an important part of X-ray crystallography.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> [http://physicsbook.gatech.edu/William_Lawrence_Bragg William Lawrence Bragg]<br /> <br /> ===External links===<br /> [http://www.britannica.com/science/Bragg-law Britannica - Bragg's Law]<br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> http://www.vanbokhoven.ethz.ch/education/XRD_excercises<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=18263 2015-12-06T02:06:14Z

<p>Rchawla32: /* Further reading */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> <br /> Electromagnetic radiation is all around us and I chose this topic after reading chapter 23 in the textbook, I did additional reading on the topics and learned that EM Radiation is related to Bragg's Law.<br /> <br /> #How is it connected to your major?<br /> <br /> As a Materials Science &amp; Engineering major, I have encountered this topic in one of the chapters of MSE2001. It is important for understanding crystal lattice properties. <br /> <br /> #Is there an interesting industrial application?<br /> <br /> Bragg's Law is an important part of X-ray crystallography.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> [http://physicsbook.gatech.edu/William_Lawrence_Bragg William Lawrence Bragg]<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> http://www.vanbokhoven.ethz.ch/education/XRD_excercises<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=16433 2015-12-05T22:56:39Z

<p>Rchawla32: /* References */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> <br /> Electromagnetic radiation is all around us and I chose this topic after reading chapter 23 in the textbook, I did additional reading on the topics and learned that EM Radiation is related to Bragg's Law.<br /> <br /> #How is it connected to your major?<br /> <br /> As a Materials Science &amp; Engineering major, I have encountered this topic in one of the chapters of MSE2001. It is important for understanding crystal lattice properties. <br /> <br /> #Is there an interesting industrial application?<br /> <br /> Bragg's Law is an important part of X-ray crystallography.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> http://www.vanbokhoven.ethz.ch/education/XRD_excercises<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=16424 2015-12-05T22:55:21Z

<p>Rchawla32: /* Connectedness */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> <br /> Electromagnetic radiation is all around us and I chose this topic after reading chapter 23 in the textbook, I did additional reading on the topics and learned that EM Radiation is related to Bragg's Law.<br /> <br /> #How is it connected to your major?<br /> <br /> As a Materials Science &amp; Engineering major, I have encountered this topic in one of the chapters of MSE2001. It is important for understanding crystal lattice properties. <br /> <br /> #Is there an interesting industrial application?<br /> <br /> Bragg's Law is an important part of X-ray crystallography.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=16419 2015-12-05T22:54:59Z

<p>Rchawla32: /* Connectedness */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> <br /> Electromagnetic radiation is all around us and I chose this topic after reading chapter 23 in the textbook, I did additional reading on the topics and found Bragg's Law.<br /> <br /> #How is it connected to your major?<br /> <br /> As a Materials Science &amp; Engineering major, I have encountered this topic in one of the chapters of MSE2001. It is important for understanding crystal lattice properties. <br /> <br /> #Is there an interesting industrial application?<br /> <br /> Bragg's Law is an important part of X-ray crystallography.<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=16358 2015-12-05T22:46:53Z

<p>Rchawla32: /* Difficult */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> [[File:Hard_bragg.jpg]]<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=File:Hard_bragg.jpg&diff=16356 2015-12-05T22:46:43Z

<p>Rchawla32: </p> <hr /> <div></div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=16351 2015-12-05T22:46:15Z

<p>Rchawla32: /* References */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> https://en.wikipedia.org/wiki/Bragg%27s_law<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=16207 2015-12-05T22:25:59Z

<p>Rchawla32: /* Simple */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> <br /> [[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=16203 2015-12-05T22:25:36Z

<p>Rchawla32: /* Middling */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===[[File:Middle bragg.jpg]]<br /> <br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=File:Middle_bragg.jpg&diff=16193 2015-12-05T22:24:51Z

<p>Rchawla32: Medium difficulty</p> <hr /> <div>Medium difficulty</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=16168 2015-12-05T22:21:25Z

<p>Rchawla32: /* A Mathematical Model */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File:Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=16163 2015-12-05T22:21:08Z

<p>Rchawla32: /* A Mathematical Model */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> where h, k, and l are the Miller indeces of the Bragg plane. Putting it all together we have:<br /> <br /> [[File.Formula2.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=16149 2015-12-05T22:19:53Z

<p>Rchawla32: /* A Mathematical Model */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.png]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=16142 2015-12-05T22:18:57Z

<p>Rchawla32: /* A Mathematical Model */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=16140 2015-12-05T22:18:44Z

<p>Rchawla32: /* A Mathematical Model */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:formula1.jpg]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=16135 2015-12-05T22:18:09Z

<p>Rchawla32: /* A Mathematical Model */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> Bragg's law, as stated above, can be used to obtain the lattice spacing of a particular cubic system through the following relation:<br /> <br /> [[File:Formula1.jpg]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=File:Formula2.png&diff=16131 2015-12-05T22:17:50Z

<p>Rchawla32: </p> <hr /> <div></div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=File:Formula1.png&diff=16130 2015-12-05T22:17:37Z

<p>Rchawla32: </p> <hr /> <div></div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=15984 2015-12-05T22:03:39Z

<p>Rchawla32: /* Simple */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Easy Bragg.jpg]]<br /> <br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=15979 2015-12-05T22:03:11Z

<p>Rchawla32: /* Simple */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> <br /> [[File:Bragg Easy.jpg]]<br /> <br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=File:Easy_Bragg.jpg&diff=15952 2015-12-05T21:59:11Z

<p>Rchawla32: Easy example of Bragg&#039;s Law</p> <hr /> <div>Easy example of Bragg's Law</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=15851 2015-12-05T21:44:50Z

<p>Rchawla32: /* A Mathematical Model */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]] n is an integer describing the order of the reflection.<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=15674 2015-12-05T21:19:21Z

<p>Rchawla32: /* References */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xraydiffraction7_1.htm<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=15657 2015-12-05T21:17:18Z

<p>Rchawla32: /* A Mathematical Model */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:Braggs_law.jpg]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=File:Braggs_law.jpg&diff=15647 2015-12-05T21:16:21Z

<p>Rchawla32: A brief visual detailing Bragg&#039;s Law</p> <hr /> <div>A brief visual detailing Bragg's Law</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=15636 2015-12-05T21:15:01Z

<p>Rchawla32: /* The Main Idea */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> The path difference between two waves undergoing interference is given by 2dsinθ, where θ is the scattering angle. Bragg's Law ultimately describes the largest angle θ such that constructive interference is at its strongest.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xray_7_bragglaw.jpg]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=15619 2015-12-05T21:12:36Z

<p>Rchawla32: /* A Computational Model */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xray_7_bragglaw.jpg]]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=15613 2015-12-05T21:12:04Z

<p>Rchawla32: /* The Main Idea */</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> Bragg's Law is a phenomenon in physics that relates the angles for coherent &amp; incoherent scattering of crystal lattices, the wavelength of the incident wave, and the distance that the wave travels; the distance traveled by the wave depends on the separation of the layers and the angle at which the X-ray entered the material. This diffraction occurs when radiation, with wavelength comparable to atomic spacings, is scattered in a specular fashion by the atoms of a crystalline system, and undergoes constructive interference. The waves must interfere constructively in order for Bragg's Law to be valid. Also, the wave which reflected from the surface needs to have traveled a whole number of wavelengths while inside the material.<br /> <br /> ===A Mathematical Model===<br /> <br /> [[File:http://www-outreach.phy.cam.ac.uk/camphy/xraydiffraction/xray_7_bragglaw.jpg]]<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Bragg%27s_Law&diff=13032 2015-12-05T01:23:44Z

<p>Rchawla32: Created page with &quot;Short Description of Topic ==The Main Idea== State, in your own words, the main idea for this topic ===A Mathematical Model=== What are the mathematical equations that al...&quot;</p> <hr /> <div>Short Description of Topic<br /> <br /> ==The Main Idea==<br /> <br /> State, in your own words, the main idea for this topic<br /> <br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> [http://www.scientificamerican.com/article/bring-science-home-reaction-time/]<br /> <br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Main_Page&diff=13030 2015-12-05T01:22:34Z

<p>Rchawla32: /* Waves */</p> <hr /> <div>__NOTOC__<br /> Welcome to the Georgia Tech Wiki for Intro Physics. This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it!<br /> <br /> Looking to make a contribution?<br /> #Pick a specific topic from intro physics<br /> #Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.<br /> #Copy and paste the default [[Template]] into your new page and start editing.<br /> <br /> Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.<br /> <br /> == Source Material ==<br /> All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).<br /> * A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]<br /> * A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]<br /> * The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]<br /> * An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]<br /> * Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]<br /> * OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]<br /> * The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]<br /> * A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]<br /> <br /> == Organizing Categories ==<br /> These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ===Interactions===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Kinds of Matter]]<br /> **[[Ball and Spring Model of Matter]]<br /> *[[Detecting Interactions]]<br /> *[[Fundamental Interactions]]<br /> *[[Determinism]]<br /> *[[System &amp; Surroundings]] <br /> *[[Free Body Diagram]]<br /> *[[Newton's First Law of Motion]]<br /> *[[Newton's Second Law of Motion]]<br /> *[[Newton's Third Law of Motion]]<br /> *[[Gravitational Force]]<br /> *[[Electric Force]]<br /> *[[Conservation of Energy]]<br /> *[[Conservation of Charge]]<br /> *[[Terminal Speed]]<br /> *[[Simple Harmonic Motion]]<br /> *[[Speed and Velocity]]<br /> *[[Electric Polarization]]<br /> *[[Perpetual Freefall (Orbit)]]<br /> *[[2-Dimensional Motion]]<br /> *[[Center of Mass]]<br /> *[[Reaction Time]]<br /> *[[Time Dilation]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Modeling with VPython===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[VPython]]<br /> *[[VPython basics]]<br /> *[[VPython Common Errors and Troubleshooting]]<br /> *[[VPython Functions]]<br /> *[[VPython Lists]]<br /> *[[VPython Multithreading]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Theory===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Einstein's Theory of Special Relativity]]<br /> *[[Einstein's Theory of General Relativity]]<br /> *[[Quantum Theory]]<br /> *[[Maxwell's Electromagnetic Theory]]<br /> *[[Atomic Theory]]<br /> *[[String Theory]]<br /> *[[Elementary Particles and Particle Physics Theory]]<br /> *[[Law of Gravitation]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Notable Scientists===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Alexei Alexeyevich Abrikosov]]<br /> *[[Christian Doppler]]<br /> *[[Albert Einstein]]<br /> *[[Ernest Rutherford]]<br /> *[[Joseph Henry]]<br /> *[[Michael Faraday]]<br /> *[[J.J. Thomson]]<br /> *[[James Maxwell]]<br /> *[[Robert Hooke]]<br /> *[[Carl Friedrich Gauss]]<br /> *[[Nikola Tesla]]<br /> *[[Andre Marie Ampere]]<br /> *[[Sir Isaac Newton]]<br /> *[[J. Robert Oppenheimer]]<br /> *[[Oliver Heaviside]]<br /> *[[Rosalind Franklin]]<br /> *[[Erwin Schrödinger]]<br /> *[[Enrico Fermi]]<br /> *[[Robert J. Van de Graaff]]<br /> *[[Charles de Coulomb]]<br /> *[[Hans Christian Ørsted]]<br /> *[[Philo Farnsworth]]<br /> *[[Niels Bohr]]<br /> *[[Georg Ohm]]<br /> *[[Galileo Galilei]]<br /> *[[Gustav Kirchhoff]]<br /> *[[Max Planck]]<br /> *[[Heinrich Hertz]]<br /> *[[Edwin Hall]]<br /> *[[James Watt]]<br /> *[[Count Alessandro Volta]]<br /> *[[Josiah Willard Gibbs]]<br /> *[[Richard Phillips Feynman]]<br /> *[[Sir David Brewster]]<br /> *[[Daniel Bernoulli]]<br /> *[[William Thomson]]<br /> *[[Leonhard Euler]]<br /> *[[Robert Fox Bacher]]<br /> *[[Stephen Hawking]]<br /> *[[Amedeo Avogadro]]<br /> *[[Wilhelm Conrad Roentgen]]<br /> *[[Pierre Laplace]]<br /> *[[Thomas Edison]]<br /> *[[Hendrik Lorentz]]<br /> *[[Jean-Baptiste Biot]]<br /> *[[Lise Meitner]]<br /> *[[Lisa Randall]]<br /> *[[Felix Savart]]<br /> *[[Heinrich Lenz]]<br /> *[[Max Born]]<br /> *[[Archimedes]]<br /> *[[Jean Baptiste Biot]]<br /> *[[Carl Sagan]]<br /> *[[Eugene Wigner]]<br /> *[[Marie Curie]]<br /> *[[Pierre Curie]]<br /> *[[Werner Heisenberg]]<br /> *[[Johannes Diderik van der Waals]]<br /> *[[Louis de Broglie]]<br /> *[[Aristotle]]<br /> *[[Émilie du Châtelet]]<br /> *[[Blaise Pascal]]<br /> *[[Benjamin Franklin]]<br /> *[[James Chadwick]]<br /> *[[Henry Cavendish]]<br /> *[[Thomas Young]]<br /> *[[James Prescott Joule]]<br /> *[[John Bardeen]]<br /> *[[Leo Baekeland]]<br /> *[[Alhazen]]<br /> *[[Willebrod Snell]]<br /> *[[Fritz Walther Meissner]]<br /> *[[Johannes Kepler]]<br /> *[[Johann Wilhelm Ritter]]<br /> *[[Philipp Lenard]]<br /> *[[Robert A. Millikan]]<br /> *[[Joseph Louis Gay-Lussac]]<br /> *[[Guglielmo Marconi]]<br /> *[[William Lawrence Bragg]]<br /> *[[Robert Goddard]]<br /> *[[Léon Foucault]]<br /> *[[Henri Poincaré]]<br /> *[[Steven Weinberg]]<br /> *[[Arthur Compton]]<br /> *[[Pythagoras of Samos]]<br /> *[[Subrahmanyan Chandrasekhar]]<br /> *[[Wilhelm Eduard Weber]]<br /> *[[Edmond Becquerel]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Properties of Matter===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Mass]]<br /> *[[Velocity]]<br /> *[[Relative Velocity]]<br /> *[[Density]]<br /> *[[Charge]]<br /> *[[Spin]]<br /> *[[SI Units]]<br /> *[[Heat Capacity]]<br /> *[[Specific Heat]]<br /> *[[Wavelength]]<br /> *[[Conductivity]]<br /> *[[Malleability]]<br /> *[[Weight]]<br /> *[[Boiling Point]]<br /> *[[Melting Point]]<br /> *[[Inertia]]<br /> *[[Non-Newtonian Fluids]]<br /> *[[Color]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Contact Interactions===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * [[Young's Modulus]]<br /> * [[Friction]]<br /> * [[Tension]]<br /> * [[Hooke's Law]]<br /> *[[Centripetal Force and Curving Motion]]<br /> *[[Compression or Normal Force]]<br /> * [[Length and Stiffness of an Interatomic Bond]]<br /> * [[Speed of Sound in a Solid]]<br /> * [[Iterative Prediction of Spring-Mass System]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Momentum===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * [[Vectors]]<br /> * [[Kinematics]]<br /> * [[Conservation of Momentum]]<br /> * [[Predicting Change in multiple dimensions]]<br /> * [[Derivation of the Momentum Principle]]<br /> * [[Momentum Principle]]<br /> * [[Impulse Momentum]]<br /> * [[Curving Motion]]<br /> * [[Projectile Motion]]<br /> * [[Multi-particle Analysis of Momentum]]<br /> * [[Iterative Prediction]]<br /> * [[Analytical Prediction]]<br /> * [[Newton's Laws and Linear Momentum]]<br /> * [[Net Force]]<br /> * [[Center of Mass]]<br /> * [[Momentum at High Speeds]]<br /> * [[Change in Momentum in Time for Curving Motion]]<br /> * [[Momentum with respect to external Forces]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Angular Momentum===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * [[The Moments of Inertia]]<br /> * [[Moment of Inertia for a ring]]<br /> * [[Rotation]]<br /> * [[Torque]]<br /> * [[Systems with Zero Torque]]<br /> * [[Systems with Nonzero Torque]]<br /> * [[Right Hand Rule]]<br /> * [[Angular Velocity]]<br /> * [[Predicting the Position of a Rotating System]]<br /> * [[Translational Angular Momentum]]<br /> * [[The Angular Momentum Principle]]<br /> * [[Angular Momentum of Multiparticle Systems]]<br /> * [[Rotational Angular Momentum]]<br /> * [[Total Angular Momentum]]<br /> * [[Gyroscopes]]<br /> * [[Angular Momentum Compared to Linear Momentum]]<br /> <br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Energy===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[The Photoelectric Effect]]<br /> *[[Photons]]<br /> *[[The Energy Principle]]<br /> *[[Predicting Change]]<br /> *[[Rest Mass Energy]]<br /> *[[Kinetic Energy]]<br /> *[[Potential Energy]]<br /> **[[Potential Energy for a Magnetic Dipole]]<br /> **[[Potential Energy of a Multiparticle System]]<br /> *[[Work]]<br /> **[[Work Done By A Nonconstant Force]]<br /> *[[Work and Energy for an Extended System]]<br /> *[[Thermal Energy]]<br /> *[[Conservation of Energy]]<br /> *[[Electric Potential]]<br /> *[[Energy Transfer due to a Temperature Difference]]<br /> *[[Gravitational Potential Energy]]<br /> *[[Point Particle Systems]]<br /> *[[Real Systems]]<br /> *[[Spring Potential Energy]]<br /> **[[Ball and Spring Model]]<br /> *[[Internal Energy]]<br /> **[[Potential Energy of a Pair of Neutral Atoms]]<br /> *[[Translational, Rotational and Vibrational Energy]]<br /> *[[Franck-Hertz Experiment]]<br /> *[[Power (Mechanical)]]<br /> *[[Transformation of Energy]]<br /> <br /> *[[Energy Graphs]]<br /> **[[Energy graphs and the Bohr model]]<br /> *[[Air Resistance]]<br /> *[[Electronic Energy Levels]]<br /> *[[Second Law of Thermodynamics and Entropy]]<br /> *[[Specific Heat Capacity]]<br /> *[[The Maxwell-Boltzmann Distribution]]<br /> *[[Electronic Energy Levels and Photons]]<br /> *[[Energy Density]]<br /> *[[Bohr Model]]<br /> *[[Quantized energy levels]]<br /> **[[Spontaneous Photon Emission]]<br /> *[[Path Independence of Electric Potential]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Collisions===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Collisions]] <br /> Collisions are events that happen very frequently in our day-to-day world. In the realm of Physics, a collision is defined as any sort of process in which before and after a short time interval there is little interaction, but during that short time interval there are large interactions. When looking at collisions, it is first important to understand two very important principles: the Momentum Principle and the Energy Principle. Both principles serve use when talking of collisions because they provide a way in which to analyze these collisions. Collisions themselves can be categorized into 3 main different types: elastic collisions, inelastic collisions, maximally inelastic collisions. All 3 collisions will get touched on in more detail further on. <br /> *[[Elastic Collisions]]<br /> A collision is deemed &quot;elastic&quot; when the internal energy of the objects in the system does not change (in other words, change in internal energy equals 0). Because in an elastic collision no kinetic energy is converted over to internal energy, in any elastic collision Kfinal always equals Kinitial.<br /> *[[Inelastic Collisions]]<br /> A collision is said to be &quot;inelastic&quot; when it is not elastic; therefore, an inelastic collision is an interaction in which some change in internal energy occurs between the colliding objects (in other words, change in internal energy does not equal 0). Examples of such changes that occur between colliding objects include, but are not limited to, things like they get hot, or they vibrate/rotate, or they deform. Because some of the kinetic energy is converted to internal energy during an inelastic collision, Kfinal does not equal Kinitial.<br /> *[[Maximally Inelastic Collisions]]<br /> Maximally inelastic collisions, also known as &quot;sticking collisions&quot;, are the most extreme kinds of inelastic collisions. Just as its secondary name implies, a maximally inelastic collision is one in which the colliding objects stick together creating maximum dissipation. This does <br /> *[[Head-on Collision of Equal Masses]]<br /> *[[Head-on Collision of Unequal Masses]]<br /> *[[Frame of Reference]]<br /> *[[Rutherford Experiment and Atomic Collisions]]<br /> *[[Coefficient of Restitution]]<br /> *[[testing123]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Fields===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * [[Electric Field]] of a<br /> ** [[Point Charge]]<br /> ** [[Electric Dipole]]<br /> ** [[Capacitor]]<br /> ** [[Charged Rod]]<br /> ** [[Charged Ring]]<br /> ** [[Charged Disk]]<br /> ** [[Charged Spherical Shell]]<br /> ** [[Charged Cylinder]]<br /> ** [[Charge Density]]<br /> **[[A Solid Sphere Charged Throughout Its Volume]]<br /> *[[Electric Potential]] <br /> **[[Potential Difference Path Independence]]<br /> **[[Potential Difference in a Uniform Field]]<br /> **[[Potential Difference of point charge in a non-Uniform Field]]<br /> **[[Sign of Potential Difference]]<br /> **[[Potential Difference in an Insulator]]<br /> **[[Energy Density and Electric Field]]<br /> ** [[Systems of Charged Objects]]<br /> *[[Electric Force]]<br /> *[[Polarization]]<br /> **[[Polarization of an Atom]]<br /> *[[Charge Motion in Metals]]<br /> *[[Charge Transfer]]<br /> *[[Magnetic Field]]<br /> **[[Right-Hand Rule]]<br /> **[[Direction of Magnetic Field]]<br /> **[[Magnetic Field of a Long Straight Wire]]<br /> **[[Magnetic Field of a Loop]]<br /> **[[Magnetic Field of a Solenoid]]<br /> **[[Bar Magnet]]<br /> **[[Magnetic Dipole Moment]]<br /> ***[[Stern-Gerlach Experiment]]<br /> **[[Magnetic Force]]<br /> **[[Earth's Magnetic Field]]<br /> **[[Atomic Structure of Magnets]]<br /> *[[Combining Electric and Magnetic Forces]]<br /> **[[Magnetic Torque]]<br /> **[[Hall Effect]]<br /> **[[Lorentz Force]]<br /> **[[Biot-Savart Law]]<br /> **[[Biot-Savart Law for Currents]]<br /> **[[Integration Techniques for Magnetic Field]]<br /> **[[Sparks in Air]]<br /> **[[Motional Emf]]<br /> **[[Detecting a Magnetic Field]]<br /> **[[Moving Point Charge]]<br /> **[[Non-Coulomb Electric Field]]<br /> **[[Motors and Generators]]<br /> **[[Solenoid Applications]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Simple Circuits===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Components]]<br /> *[[Steady State]]<br /> *[[Non Steady State]]<br /> *[[Charging and Discharging a Capacitor]]<br /> *[[Thin and Thick Wires]]<br /> *[[Node Rule]]<br /> *[[Loop Rule]]<br /> *[[Resistivity]]<br /> *[[Power in a circuit]]<br /> *[[Ammeters,Voltmeters,Ohmmeters]]<br /> *[[Current]]<br /> **[[AC]]<br /> *[[Ohm's Law]]<br /> *[[Series Circuits]]<br /> *[[Parallel Circuits]]<br /> *[[RC]]<br /> *[[AC vs DC]]<br /> *[[Charge in a RC Circuit]]<br /> *[[Current in a RC circuit]]<br /> *[[Circular Loop of Wire]]<br /> *[[Current in a RL Circuit]]<br /> *[[RL Circuit]]<br /> *[[Surface Charge Distributions]]<br /> *[[Feedback]]<br /> *[[Transformers (Circuits)]]<br /> *[[Resistors and Conductivity]]<br /> *[[Semiconductor Devices]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Maxwell's Equations===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Gauss's Flux Theorem]]<br /> **[[Electric Fields]]<br /> ***[[Examples of Flux Through Surfaces and Objects]]<br /> **[[Magnetic Fields]]<br /> *[[Ampere's Law]]<br /> **[[Magnetic Field of Coaxial Cable Using Ampere's Law]]<br /> **[[Magnetic Field of a Long Thick Wire Using Ampere's Law]]<br /> **[[Magnetic Field of a Toroid Using Ampere's Law]]<br /> *[[Faraday's Law]]<br /> **[[Curly Electric Fields]]<br /> **[[Inductance]]<br /> ***[[Transformers (Physics)]]<br /> ***[[Energy Density]]<br /> **[[Lenz's Law]]<br /> ***[[Lenz Effect and the Jumping Ring]]<br /> **[[Lenz's Rule]]<br /> **[[Motional Emf using Faraday's Law]]<br /> *[[Ampere-Maxwell Law]]<br /> *[[Superconductors]]<br /> **[[Meissner effect]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Radiation===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Producing a Radiative Electric Field]]<br /> *[[Sinusoidal Electromagnetic Radiaton]]<br /> *[[Lenses]]<br /> *[[Energy and Momentum Analysis in Radiation]]<br /> **[[Poynting Vector]]<br /> *[[Electromagnetic Propagation]]<br /> **[[Wavelength and Frequency]]<br /> *[[Snell's Law]]<br /> *[[Effects of Radiation on Matter]]<br /> *[[Light Propagation Through a Medium]]<br /> *[[Light Scaterring: Why is the Sky Blue]]<br /> *[[Light Refraction: Bending of light]]<br /> *[[Cherenkov Radiation]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Sound===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Doppler Effect]]<br /> *[[Nature, Behavior, and Properties of Sound]]<br /> *[[Resonance]]<br /> *[[Sound Barrier]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Waves===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Bragg's Law]]<br /> *[[Multisource Interference: Diffraction]]<br /> *[[Standing waves]]<br /> *[[Gravitational waves]]<br /> *[[Plasma waves]]<br /> *[[Wave-Particle Duality]]<br /> *[[Electromagnetic Waves]]<br /> *[[Electromagnetic Spectrum]]<br /> *[[Color Light Wave]]<br /> *[[Mechanical Waves]]<br /> *[[Pendulum Motion]]<br /> *[[Transverse and Longitudinal Waves]]<br /> *[[Planck's Relation]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Real Life Applications of Electromagnetic Principles===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Electromagnetic Junkyard Cranes]]<br /> *[[Maglev Trains]]<br /> *[[Spark Plugs]]<br /> *[[Metal Detectors]]<br /> *[[Speakers]]<br /> *[[Radios]]<br /> *[[Ampullae of Lorenzini]]<br /> *[[Electrocytes]]<br /> *[[Generator]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Optics===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Mirrors]]<br /> *[[Refraction]]<br /> *[[Quantum Properties of Light]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> == Resources ==<br /> * Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]<br /> * A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]<br /> * A page to keep track of all the physics [[Constants]]<br /> * A page for review of [[Vectors]] and vector operations</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=Main_Page&diff=13027 2015-12-05T01:21:29Z

<p>Rchawla32: /* Simple Circuits */</p> <hr /> <div>__NOTOC__<br /> Welcome to the Georgia Tech Wiki for Intro Physics. This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it!<br /> <br /> Looking to make a contribution?<br /> #Pick a specific topic from intro physics<br /> #Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.<br /> #Copy and paste the default [[Template]] into your new page and start editing.<br /> <br /> Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.<br /> <br /> == Source Material ==<br /> All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).<br /> * A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]<br /> * A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]<br /> * The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]<br /> * An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]<br /> * Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]<br /> * OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]<br /> * The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]<br /> * A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]<br /> <br /> == Organizing Categories ==<br /> These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> ===Interactions===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Kinds of Matter]]<br /> **[[Ball and Spring Model of Matter]]<br /> *[[Detecting Interactions]]<br /> *[[Fundamental Interactions]]<br /> *[[Determinism]]<br /> *[[System &amp; Surroundings]] <br /> *[[Free Body Diagram]]<br /> *[[Newton's First Law of Motion]]<br /> *[[Newton's Second Law of Motion]]<br /> *[[Newton's Third Law of Motion]]<br /> *[[Gravitational Force]]<br /> *[[Electric Force]]<br /> *[[Conservation of Energy]]<br /> *[[Conservation of Charge]]<br /> *[[Terminal Speed]]<br /> *[[Simple Harmonic Motion]]<br /> *[[Speed and Velocity]]<br /> *[[Electric Polarization]]<br /> *[[Perpetual Freefall (Orbit)]]<br /> *[[2-Dimensional Motion]]<br /> *[[Center of Mass]]<br /> *[[Reaction Time]]<br /> *[[Time Dilation]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Modeling with VPython===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[VPython]]<br /> *[[VPython basics]]<br /> *[[VPython Common Errors and Troubleshooting]]<br /> *[[VPython Functions]]<br /> *[[VPython Lists]]<br /> *[[VPython Multithreading]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Theory===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Einstein's Theory of Special Relativity]]<br /> *[[Einstein's Theory of General Relativity]]<br /> *[[Quantum Theory]]<br /> *[[Maxwell's Electromagnetic Theory]]<br /> *[[Atomic Theory]]<br /> *[[String Theory]]<br /> *[[Elementary Particles and Particle Physics Theory]]<br /> *[[Law of Gravitation]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Notable Scientists===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Alexei Alexeyevich Abrikosov]]<br /> *[[Christian Doppler]]<br /> *[[Albert Einstein]]<br /> *[[Ernest Rutherford]]<br /> *[[Joseph Henry]]<br /> *[[Michael Faraday]]<br /> *[[J.J. Thomson]]<br /> *[[James Maxwell]]<br /> *[[Robert Hooke]]<br /> *[[Carl Friedrich Gauss]]<br /> *[[Nikola Tesla]]<br /> *[[Andre Marie Ampere]]<br /> *[[Sir Isaac Newton]]<br /> *[[J. Robert Oppenheimer]]<br /> *[[Oliver Heaviside]]<br /> *[[Rosalind Franklin]]<br /> *[[Erwin Schrödinger]]<br /> *[[Enrico Fermi]]<br /> *[[Robert J. Van de Graaff]]<br /> *[[Charles de Coulomb]]<br /> *[[Hans Christian Ørsted]]<br /> *[[Philo Farnsworth]]<br /> *[[Niels Bohr]]<br /> *[[Georg Ohm]]<br /> *[[Galileo Galilei]]<br /> *[[Gustav Kirchhoff]]<br /> *[[Max Planck]]<br /> *[[Heinrich Hertz]]<br /> *[[Edwin Hall]]<br /> *[[James Watt]]<br /> *[[Count Alessandro Volta]]<br /> *[[Josiah Willard Gibbs]]<br /> *[[Richard Phillips Feynman]]<br /> *[[Sir David Brewster]]<br /> *[[Daniel Bernoulli]]<br /> *[[William Thomson]]<br /> *[[Leonhard Euler]]<br /> *[[Robert Fox Bacher]]<br /> *[[Stephen Hawking]]<br /> *[[Amedeo Avogadro]]<br /> *[[Wilhelm Conrad Roentgen]]<br /> *[[Pierre Laplace]]<br /> *[[Thomas Edison]]<br /> *[[Hendrik Lorentz]]<br /> *[[Jean-Baptiste Biot]]<br /> *[[Lise Meitner]]<br /> *[[Lisa Randall]]<br /> *[[Felix Savart]]<br /> *[[Heinrich Lenz]]<br /> *[[Max Born]]<br /> *[[Archimedes]]<br /> *[[Jean Baptiste Biot]]<br /> *[[Carl Sagan]]<br /> *[[Eugene Wigner]]<br /> *[[Marie Curie]]<br /> *[[Pierre Curie]]<br /> *[[Werner Heisenberg]]<br /> *[[Johannes Diderik van der Waals]]<br /> *[[Louis de Broglie]]<br /> *[[Aristotle]]<br /> *[[Émilie du Châtelet]]<br /> *[[Blaise Pascal]]<br /> *[[Benjamin Franklin]]<br /> *[[James Chadwick]]<br /> *[[Henry Cavendish]]<br /> *[[Thomas Young]]<br /> *[[James Prescott Joule]]<br /> *[[John Bardeen]]<br /> *[[Leo Baekeland]]<br /> *[[Alhazen]]<br /> *[[Willebrod Snell]]<br /> *[[Fritz Walther Meissner]]<br /> *[[Johannes Kepler]]<br /> *[[Johann Wilhelm Ritter]]<br /> *[[Philipp Lenard]]<br /> *[[Robert A. Millikan]]<br /> *[[Joseph Louis Gay-Lussac]]<br /> *[[Guglielmo Marconi]]<br /> *[[William Lawrence Bragg]]<br /> *[[Robert Goddard]]<br /> *[[Léon Foucault]]<br /> *[[Henri Poincaré]]<br /> *[[Steven Weinberg]]<br /> *[[Arthur Compton]]<br /> *[[Pythagoras of Samos]]<br /> *[[Subrahmanyan Chandrasekhar]]<br /> *[[Wilhelm Eduard Weber]]<br /> *[[Edmond Becquerel]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Properties of Matter===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Mass]]<br /> *[[Velocity]]<br /> *[[Relative Velocity]]<br /> *[[Density]]<br /> *[[Charge]]<br /> *[[Spin]]<br /> *[[SI Units]]<br /> *[[Heat Capacity]]<br /> *[[Specific Heat]]<br /> *[[Wavelength]]<br /> *[[Conductivity]]<br /> *[[Malleability]]<br /> *[[Weight]]<br /> *[[Boiling Point]]<br /> *[[Melting Point]]<br /> *[[Inertia]]<br /> *[[Non-Newtonian Fluids]]<br /> *[[Color]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Contact Interactions===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * [[Young's Modulus]]<br /> * [[Friction]]<br /> * [[Tension]]<br /> * [[Hooke's Law]]<br /> *[[Centripetal Force and Curving Motion]]<br /> *[[Compression or Normal Force]]<br /> * [[Length and Stiffness of an Interatomic Bond]]<br /> * [[Speed of Sound in a Solid]]<br /> * [[Iterative Prediction of Spring-Mass System]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Momentum===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * [[Vectors]]<br /> * [[Kinematics]]<br /> * [[Conservation of Momentum]]<br /> * [[Predicting Change in multiple dimensions]]<br /> * [[Derivation of the Momentum Principle]]<br /> * [[Momentum Principle]]<br /> * [[Impulse Momentum]]<br /> * [[Curving Motion]]<br /> * [[Projectile Motion]]<br /> * [[Multi-particle Analysis of Momentum]]<br /> * [[Iterative Prediction]]<br /> * [[Analytical Prediction]]<br /> * [[Newton's Laws and Linear Momentum]]<br /> * [[Net Force]]<br /> * [[Center of Mass]]<br /> * [[Momentum at High Speeds]]<br /> * [[Change in Momentum in Time for Curving Motion]]<br /> * [[Momentum with respect to external Forces]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Angular Momentum===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * [[The Moments of Inertia]]<br /> * [[Moment of Inertia for a ring]]<br /> * [[Rotation]]<br /> * [[Torque]]<br /> * [[Systems with Zero Torque]]<br /> * [[Systems with Nonzero Torque]]<br /> * [[Right Hand Rule]]<br /> * [[Angular Velocity]]<br /> * [[Predicting the Position of a Rotating System]]<br /> * [[Translational Angular Momentum]]<br /> * [[The Angular Momentum Principle]]<br /> * [[Angular Momentum of Multiparticle Systems]]<br /> * [[Rotational Angular Momentum]]<br /> * [[Total Angular Momentum]]<br /> * [[Gyroscopes]]<br /> * [[Angular Momentum Compared to Linear Momentum]]<br /> <br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Energy===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[The Photoelectric Effect]]<br /> *[[Photons]]<br /> *[[The Energy Principle]]<br /> *[[Predicting Change]]<br /> *[[Rest Mass Energy]]<br /> *[[Kinetic Energy]]<br /> *[[Potential Energy]]<br /> **[[Potential Energy for a Magnetic Dipole]]<br /> **[[Potential Energy of a Multiparticle System]]<br /> *[[Work]]<br /> **[[Work Done By A Nonconstant Force]]<br /> *[[Work and Energy for an Extended System]]<br /> *[[Thermal Energy]]<br /> *[[Conservation of Energy]]<br /> *[[Electric Potential]]<br /> *[[Energy Transfer due to a Temperature Difference]]<br /> *[[Gravitational Potential Energy]]<br /> *[[Point Particle Systems]]<br /> *[[Real Systems]]<br /> *[[Spring Potential Energy]]<br /> **[[Ball and Spring Model]]<br /> *[[Internal Energy]]<br /> **[[Potential Energy of a Pair of Neutral Atoms]]<br /> *[[Translational, Rotational and Vibrational Energy]]<br /> *[[Franck-Hertz Experiment]]<br /> *[[Power (Mechanical)]]<br /> *[[Transformation of Energy]]<br /> <br /> *[[Energy Graphs]]<br /> **[[Energy graphs and the Bohr model]]<br /> *[[Air Resistance]]<br /> *[[Electronic Energy Levels]]<br /> *[[Second Law of Thermodynamics and Entropy]]<br /> *[[Specific Heat Capacity]]<br /> *[[The Maxwell-Boltzmann Distribution]]<br /> *[[Electronic Energy Levels and Photons]]<br /> *[[Energy Density]]<br /> *[[Bohr Model]]<br /> *[[Quantized energy levels]]<br /> **[[Spontaneous Photon Emission]]<br /> *[[Path Independence of Electric Potential]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Collisions===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Collisions]] <br /> Collisions are events that happen very frequently in our day-to-day world. In the realm of Physics, a collision is defined as any sort of process in which before and after a short time interval there is little interaction, but during that short time interval there are large interactions. When looking at collisions, it is first important to understand two very important principles: the Momentum Principle and the Energy Principle. Both principles serve use when talking of collisions because they provide a way in which to analyze these collisions. Collisions themselves can be categorized into 3 main different types: elastic collisions, inelastic collisions, maximally inelastic collisions. All 3 collisions will get touched on in more detail further on. <br /> *[[Elastic Collisions]]<br /> A collision is deemed &quot;elastic&quot; when the internal energy of the objects in the system does not change (in other words, change in internal energy equals 0). Because in an elastic collision no kinetic energy is converted over to internal energy, in any elastic collision Kfinal always equals Kinitial.<br /> *[[Inelastic Collisions]]<br /> A collision is said to be &quot;inelastic&quot; when it is not elastic; therefore, an inelastic collision is an interaction in which some change in internal energy occurs between the colliding objects (in other words, change in internal energy does not equal 0). Examples of such changes that occur between colliding objects include, but are not limited to, things like they get hot, or they vibrate/rotate, or they deform. Because some of the kinetic energy is converted to internal energy during an inelastic collision, Kfinal does not equal Kinitial.<br /> *[[Maximally Inelastic Collisions]]<br /> Maximally inelastic collisions, also known as &quot;sticking collisions&quot;, are the most extreme kinds of inelastic collisions. Just as its secondary name implies, a maximally inelastic collision is one in which the colliding objects stick together creating maximum dissipation. This does <br /> *[[Head-on Collision of Equal Masses]]<br /> *[[Head-on Collision of Unequal Masses]]<br /> *[[Frame of Reference]]<br /> *[[Rutherford Experiment and Atomic Collisions]]<br /> *[[Coefficient of Restitution]]<br /> *[[testing123]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Fields===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> * [[Electric Field]] of a<br /> ** [[Point Charge]]<br /> ** [[Electric Dipole]]<br /> ** [[Capacitor]]<br /> ** [[Charged Rod]]<br /> ** [[Charged Ring]]<br /> ** [[Charged Disk]]<br /> ** [[Charged Spherical Shell]]<br /> ** [[Charged Cylinder]]<br /> ** [[Charge Density]]<br /> **[[A Solid Sphere Charged Throughout Its Volume]]<br /> *[[Electric Potential]] <br /> **[[Potential Difference Path Independence]]<br /> **[[Potential Difference in a Uniform Field]]<br /> **[[Potential Difference of point charge in a non-Uniform Field]]<br /> **[[Sign of Potential Difference]]<br /> **[[Potential Difference in an Insulator]]<br /> **[[Energy Density and Electric Field]]<br /> ** [[Systems of Charged Objects]]<br /> *[[Electric Force]]<br /> *[[Polarization]]<br /> **[[Polarization of an Atom]]<br /> *[[Charge Motion in Metals]]<br /> *[[Charge Transfer]]<br /> *[[Magnetic Field]]<br /> **[[Right-Hand Rule]]<br /> **[[Direction of Magnetic Field]]<br /> **[[Magnetic Field of a Long Straight Wire]]<br /> **[[Magnetic Field of a Loop]]<br /> **[[Magnetic Field of a Solenoid]]<br /> **[[Bar Magnet]]<br /> **[[Magnetic Dipole Moment]]<br /> ***[[Stern-Gerlach Experiment]]<br /> **[[Magnetic Force]]<br /> **[[Earth's Magnetic Field]]<br /> **[[Atomic Structure of Magnets]]<br /> *[[Combining Electric and Magnetic Forces]]<br /> **[[Magnetic Torque]]<br /> **[[Hall Effect]]<br /> **[[Lorentz Force]]<br /> **[[Biot-Savart Law]]<br /> **[[Biot-Savart Law for Currents]]<br /> **[[Integration Techniques for Magnetic Field]]<br /> **[[Sparks in Air]]<br /> **[[Motional Emf]]<br /> **[[Detecting a Magnetic Field]]<br /> **[[Moving Point Charge]]<br /> **[[Non-Coulomb Electric Field]]<br /> **[[Motors and Generators]]<br /> **[[Solenoid Applications]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Simple Circuits===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Components]]<br /> *[[Steady State]]<br /> *[[Non Steady State]]<br /> *[[Charging and Discharging a Capacitor]]<br /> *[[Thin and Thick Wires]]<br /> *[[Node Rule]]<br /> *[[Loop Rule]]<br /> *[[Resistivity]]<br /> *[[Power in a circuit]]<br /> *[[Ammeters,Voltmeters,Ohmmeters]]<br /> *[[Current]]<br /> **[[AC]]<br /> *[[Ohm's Law]]<br /> *[[Series Circuits]]<br /> *[[Parallel Circuits]]<br /> *[[RC]]<br /> *[[AC vs DC]]<br /> *[[Charge in a RC Circuit]]<br /> *[[Current in a RC circuit]]<br /> *[[Circular Loop of Wire]]<br /> *[[Current in a RL Circuit]]<br /> *[[RL Circuit]]<br /> *[[Surface Charge Distributions]]<br /> *[[Feedback]]<br /> *[[Transformers (Circuits)]]<br /> *[[Resistors and Conductivity]]<br /> *[[Semiconductor Devices]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Maxwell's Equations===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Gauss's Flux Theorem]]<br /> **[[Electric Fields]]<br /> ***[[Examples of Flux Through Surfaces and Objects]]<br /> **[[Magnetic Fields]]<br /> *[[Ampere's Law]]<br /> **[[Magnetic Field of Coaxial Cable Using Ampere's Law]]<br /> **[[Magnetic Field of a Long Thick Wire Using Ampere's Law]]<br /> **[[Magnetic Field of a Toroid Using Ampere's Law]]<br /> *[[Faraday's Law]]<br /> **[[Curly Electric Fields]]<br /> **[[Inductance]]<br /> ***[[Transformers (Physics)]]<br /> ***[[Energy Density]]<br /> **[[Lenz's Law]]<br /> ***[[Lenz Effect and the Jumping Ring]]<br /> **[[Lenz's Rule]]<br /> **[[Motional Emf using Faraday's Law]]<br /> *[[Ampere-Maxwell Law]]<br /> *[[Superconductors]]<br /> **[[Meissner effect]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Radiation===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Producing a Radiative Electric Field]]<br /> *[[Sinusoidal Electromagnetic Radiaton]]<br /> *[[Lenses]]<br /> *[[Energy and Momentum Analysis in Radiation]]<br /> **[[Poynting Vector]]<br /> *[[Electromagnetic Propagation]]<br /> **[[Wavelength and Frequency]]<br /> *[[Snell's Law]]<br /> *[[Effects of Radiation on Matter]]<br /> *[[Light Propagation Through a Medium]]<br /> *[[Light Scaterring: Why is the Sky Blue]]<br /> *[[Light Refraction: Bending of light]]<br /> *[[Cherenkov Radiation]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Sound===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Doppler Effect]]<br /> *[[Nature, Behavior, and Properties of Sound]]<br /> *[[Resonance]]<br /> *[[Sound Barrier]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Waves===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Multisource Interference: Diffraction]]<br /> *[[Standing waves]]<br /> *[[Gravitational waves]]<br /> *[[Plasma waves]]<br /> *[[Wave-Particle Duality]]<br /> *[[Electromagnetic Waves]]<br /> *[[Electromagnetic Spectrum]]<br /> *[[Color Light Wave]]<br /> *[[Mechanical Waves]]<br /> *[[Pendulum Motion]]<br /> *[[Transverse and Longitudinal Waves]]<br /> *[[Planck's Relation]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Real Life Applications of Electromagnetic Principles===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Electromagnetic Junkyard Cranes]]<br /> *[[Maglev Trains]]<br /> *[[Spark Plugs]]<br /> *[[Metal Detectors]]<br /> *[[Speakers]]<br /> *[[Radios]]<br /> *[[Ampullae of Lorenzini]]<br /> *[[Electrocytes]]<br /> *[[Generator]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> &lt;div class=&quot;toccolours mw-collapsible mw-collapsed&quot;&gt;<br /> <br /> ===Optics===<br /> &lt;div class=&quot;mw-collapsible-content&quot;&gt;<br /> *[[Mirrors]]<br /> *[[Refraction]]<br /> *[[Quantum Properties of Light]]<br /> &lt;/div&gt;<br /> &lt;/div&gt;<br /> <br /> == Resources ==<br /> * Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]<br /> * A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]<br /> * A page to keep track of all the physics [[Constants]]<br /> * A page for review of [[Vectors]] and vector operations</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=LC_Circuit&diff=13026 2015-12-05T01:20:03Z

<p>Rchawla32: Blanked the page</p> <hr /> <div></div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=LC_Circuit&diff=2204 2015-11-27T22:55:29Z

<p>Rchawla32: /* Connectedness */</p> <hr /> <div>***Claimed by Rishab Chawla 11/19/15***<br /> ==Main Idea==<br /> <br /> Consider an electrical circuit consisting of an inductor, of inductance '''L''', connected in series with a capacitor, of capacitance '''C'''. Such a circuit is known as an LC circuit, for obvious reasons. An LC circuit, oscillating at its natural resonant frequency, can store electrical energy.<br /> https://upload.wikimedia.org/wikipedia/commons/8/80/Tuned_circuit_animation_3_300ms.gif<br /> ===A Mathematical Model===<br /> <br /> Starting with [http://physicsbook.gatech.edu/Loop_Rule Kirchoff's Loop Rule], we have V = L * dI/dt + q/C.<br /> <br /> Taking the derivative of each term, dV/dt = L(d^2*I/dt^2) + 1/C * dq/dt.<br /> <br /> The voltage of the battery is constant, so that derivative vanishes. The derivative of charge is current, so that gives us a second order differential equation: 0 = L(d^2*I/dt^2) + 1/C * I<br /> <br /> Rearranging, (d^2/dt^2)I = - I/(LC).<br /> <br /> This can be solved by guessing and checking with a generic sine function: I = I0sin(ωt + φ)<br /> <br /> (d^2/dt^2)I0sin(ωt + φ) = -I0/(LC) * sin(ωt + φ)<br /> − ω^2*I0sin(ωt + φ) = -I0/(LC) * sin(ωt + φ)<br /> <br /> The angular frequency is now given by '''ω = 1/sqrt(LC)'''. This is also known as its resonance frequency.<br /> A LC circuit is then an oscillating circuit with frequency ω/(2π) = '''1/(2π*sqrt(LC))'''.<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> An audio crossover circuit consisting of three LC circuits, each tuned to a different natural frequency. The inductors (L) are on the top of the circuit and the capacitors (C) are on the bottom. On the left a &quot;woofer&quot; circuit tuned to a low audio frequency, on the right a &quot;tweeter&quot; circuit tuned to a high audio frequency, and in between a &quot;midrange&quot; circuit tuned to a frequency in the middle of the audio spectrum. [[File:http://physics.info/circuits-rlc/crossover.jpg]]<br /> <br /> ==History==<br /> <br /> The first evidence that a capacitor and inductor could produce electrical oscillations was discovered in 1826 by French scientist Felix Savary He found that when a Leyden jar was discharged through a wire wound around an iron needle, sometimes the needle was left magnetized in one direction and sometimes in the opposite direction. He correctly deduced that this was caused by a damped oscillating discharge current in the wire, which reversed the magnetization of the needle back and forth until it was too small to have an effect, leaving the needle magnetized in a random direction. American physicist Joseph Henry repeated Savary's experiment in 1842 and came to the same conclusion, apparently independently. British scientist William Thomson (Lord Kelvin) in 1853 showed mathematically that the discharge of a Leyden jar through an inductance should be oscillatory, and derived its resonant frequency.[2][4][5] British radio researcher Oliver Lodge, by discharging a large battery of Leyden jars through a long wire, created a tuned circuit with its resonant frequency in the audio range, which produced a musical tone from the spark when it was discharged. In 1857, German physicist Berend Wilhelm Feddersen photographed the spark produced by a resonant Leyden jar circuit in a rotating mirror, providing visible evidence of the oscillations. In 1868, Scottish physicist James Clerk Maxwell calculated the effect of applying an alternating current to a circuit with inductance and capacitance, showing that the response is maximum at the resonant frequency.The first example of an electrical resonance curve was published in 1887 by German physicist Heinrich Hertz in his pioneering paper on the discovery of radio waves, showing the length of spark obtainable from his spark-gap LC resonator detectors as a function of frequency.<br /> <br /> One of the first demonstrations of resonance between tuned circuits was Lodge's &quot;syntonic jars&quot; experiment around 1889.He placed two resonant circuits next to each other, each consisting of a Leyden jar connected to an adjustable one-turn coil with a spark gap. When a high voltage from an induction coil was applied to one tuned circuit, creating sparks and thus oscillating currents, sparks were excited in the other tuned circuit only when the circuits were adjusted to resonance. Lodge and some English scientists preferred the term &quot;syntony&quot; for this effect, but the term &quot;resonance&quot; eventually stuck. The first practical use for LC circuits was in the 1890s in spark-gap radio transmitters to allow the receiver and transmitter to be tuned to the same frequency. The first patent for a radio system that allowed tuning was filed by Lodge in 1897, although the first practical systems were invented in 1900 by Italian radio pioneer Guglielmo Marconi.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 22<br /> <br /> https://archive.org/stream/bstj20-4-415#page/n13/mode/2up<br /> <br /> https://en.wikipedia.org/wiki/LC_circuit<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=LC_Circuit&diff=2199 2015-11-27T22:51:42Z

<p>Rchawla32: /* References */</p> <hr /> <div>***Claimed by Rishab Chawla 11/19/15***<br /> ==Main Idea==<br /> <br /> Consider an electrical circuit consisting of an inductor, of inductance '''L''', connected in series with a capacitor, of capacitance '''C'''. Such a circuit is known as an LC circuit, for obvious reasons. An LC circuit, oscillating at its natural resonant frequency, can store electrical energy.<br /> https://upload.wikimedia.org/wikipedia/commons/8/80/Tuned_circuit_animation_3_300ms.gif<br /> ===A Mathematical Model===<br /> <br /> Starting with [http://physicsbook.gatech.edu/Loop_Rule Kirchoff's Loop Rule], we have V = L * dI/dt + q/C.<br /> <br /> Taking the derivative of each term, dV/dt = L(d^2*I/dt^2) + 1/C * dq/dt.<br /> <br /> The voltage of the battery is constant, so that derivative vanishes. The derivative of charge is current, so that gives us a second order differential equation: 0 = L(d^2*I/dt^2) + 1/C * I<br /> <br /> Rearranging, (d^2/dt^2)I = - I/(LC).<br /> <br /> This can be solved by guessing and checking with a generic sine function: I = I0sin(ωt + φ)<br /> <br /> (d^2/dt^2)I0sin(ωt + φ) = -I0/(LC) * sin(ωt + φ)<br /> − ω^2*I0sin(ωt + φ) = -I0/(LC) * sin(ωt + φ)<br /> <br /> The angular frequency is now given by '''ω = 1/sqrt(LC)'''. This is also known as its resonance frequency.<br /> A LC circuit is then an oscillating circuit with frequency ω/(2π) = '''1/(2π*sqrt(LC))'''.<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> The first evidence that a capacitor and inductor could produce electrical oscillations was discovered in 1826 by French scientist Felix Savary He found that when a Leyden jar was discharged through a wire wound around an iron needle, sometimes the needle was left magnetized in one direction and sometimes in the opposite direction. He correctly deduced that this was caused by a damped oscillating discharge current in the wire, which reversed the magnetization of the needle back and forth until it was too small to have an effect, leaving the needle magnetized in a random direction. American physicist Joseph Henry repeated Savary's experiment in 1842 and came to the same conclusion, apparently independently. British scientist William Thomson (Lord Kelvin) in 1853 showed mathematically that the discharge of a Leyden jar through an inductance should be oscillatory, and derived its resonant frequency.[2][4][5] British radio researcher Oliver Lodge, by discharging a large battery of Leyden jars through a long wire, created a tuned circuit with its resonant frequency in the audio range, which produced a musical tone from the spark when it was discharged. In 1857, German physicist Berend Wilhelm Feddersen photographed the spark produced by a resonant Leyden jar circuit in a rotating mirror, providing visible evidence of the oscillations. In 1868, Scottish physicist James Clerk Maxwell calculated the effect of applying an alternating current to a circuit with inductance and capacitance, showing that the response is maximum at the resonant frequency.The first example of an electrical resonance curve was published in 1887 by German physicist Heinrich Hertz in his pioneering paper on the discovery of radio waves, showing the length of spark obtainable from his spark-gap LC resonator detectors as a function of frequency.<br /> <br /> One of the first demonstrations of resonance between tuned circuits was Lodge's &quot;syntonic jars&quot; experiment around 1889.He placed two resonant circuits next to each other, each consisting of a Leyden jar connected to an adjustable one-turn coil with a spark gap. When a high voltage from an induction coil was applied to one tuned circuit, creating sparks and thus oscillating currents, sparks were excited in the other tuned circuit only when the circuits were adjusted to resonance. Lodge and some English scientists preferred the term &quot;syntony&quot; for this effect, but the term &quot;resonance&quot; eventually stuck. The first practical use for LC circuits was in the 1890s in spark-gap radio transmitters to allow the receiver and transmitter to be tuned to the same frequency. The first patent for a radio system that allowed tuning was filed by Lodge in 1897, although the first practical systems were invented in 1900 by Italian radio pioneer Guglielmo Marconi.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 22<br /> <br /> https://archive.org/stream/bstj20-4-415#page/n13/mode/2up<br /> <br /> https://en.wikipedia.org/wiki/LC_circuit<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=LC_Circuit&diff=2198 2015-11-27T22:51:23Z

<p>Rchawla32: /* References */</p> <hr /> <div>***Claimed by Rishab Chawla 11/19/15***<br /> ==Main Idea==<br /> <br /> Consider an electrical circuit consisting of an inductor, of inductance '''L''', connected in series with a capacitor, of capacitance '''C'''. Such a circuit is known as an LC circuit, for obvious reasons. An LC circuit, oscillating at its natural resonant frequency, can store electrical energy.<br /> https://upload.wikimedia.org/wikipedia/commons/8/80/Tuned_circuit_animation_3_300ms.gif<br /> ===A Mathematical Model===<br /> <br /> Starting with [http://physicsbook.gatech.edu/Loop_Rule Kirchoff's Loop Rule], we have V = L * dI/dt + q/C.<br /> <br /> Taking the derivative of each term, dV/dt = L(d^2*I/dt^2) + 1/C * dq/dt.<br /> <br /> The voltage of the battery is constant, so that derivative vanishes. The derivative of charge is current, so that gives us a second order differential equation: 0 = L(d^2*I/dt^2) + 1/C * I<br /> <br /> Rearranging, (d^2/dt^2)I = - I/(LC).<br /> <br /> This can be solved by guessing and checking with a generic sine function: I = I0sin(ωt + φ)<br /> <br /> (d^2/dt^2)I0sin(ωt + φ) = -I0/(LC) * sin(ωt + φ)<br /> − ω^2*I0sin(ωt + φ) = -I0/(LC) * sin(ωt + φ)<br /> <br /> The angular frequency is now given by '''ω = 1/sqrt(LC)'''. This is also known as its resonance frequency.<br /> A LC circuit is then an oscillating circuit with frequency ω/(2π) = '''1/(2π*sqrt(LC))'''.<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> The first evidence that a capacitor and inductor could produce electrical oscillations was discovered in 1826 by French scientist Felix Savary He found that when a Leyden jar was discharged through a wire wound around an iron needle, sometimes the needle was left magnetized in one direction and sometimes in the opposite direction. He correctly deduced that this was caused by a damped oscillating discharge current in the wire, which reversed the magnetization of the needle back and forth until it was too small to have an effect, leaving the needle magnetized in a random direction. American physicist Joseph Henry repeated Savary's experiment in 1842 and came to the same conclusion, apparently independently. British scientist William Thomson (Lord Kelvin) in 1853 showed mathematically that the discharge of a Leyden jar through an inductance should be oscillatory, and derived its resonant frequency.[2][4][5] British radio researcher Oliver Lodge, by discharging a large battery of Leyden jars through a long wire, created a tuned circuit with its resonant frequency in the audio range, which produced a musical tone from the spark when it was discharged. In 1857, German physicist Berend Wilhelm Feddersen photographed the spark produced by a resonant Leyden jar circuit in a rotating mirror, providing visible evidence of the oscillations. In 1868, Scottish physicist James Clerk Maxwell calculated the effect of applying an alternating current to a circuit with inductance and capacitance, showing that the response is maximum at the resonant frequency.The first example of an electrical resonance curve was published in 1887 by German physicist Heinrich Hertz in his pioneering paper on the discovery of radio waves, showing the length of spark obtainable from his spark-gap LC resonator detectors as a function of frequency.<br /> <br /> One of the first demonstrations of resonance between tuned circuits was Lodge's &quot;syntonic jars&quot; experiment around 1889.He placed two resonant circuits next to each other, each consisting of a Leyden jar connected to an adjustable one-turn coil with a spark gap. When a high voltage from an induction coil was applied to one tuned circuit, creating sparks and thus oscillating currents, sparks were excited in the other tuned circuit only when the circuits were adjusted to resonance. Lodge and some English scientists preferred the term &quot;syntony&quot; for this effect, but the term &quot;resonance&quot; eventually stuck. The first practical use for LC circuits was in the 1890s in spark-gap radio transmitters to allow the receiver and transmitter to be tuned to the same frequency. The first patent for a radio system that allowed tuning was filed by Lodge in 1897, although the first practical systems were invented in 1900 by Italian radio pioneer Guglielmo Marconi.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> Matter and Interactions By Ruth W. Chabay, Bruce A. Sherwood - Chapter 22<br /> https://archive.org/stream/bstj20-4-415#page/n13/mode/2up<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=LC_Circuit&diff=2196 2015-11-27T22:49:46Z

<p>Rchawla32: </p> <hr /> <div>***Claimed by Rishab Chawla 11/19/15***<br /> ==Main Idea==<br /> <br /> Consider an electrical circuit consisting of an inductor, of inductance '''L''', connected in series with a capacitor, of capacitance '''C'''. Such a circuit is known as an LC circuit, for obvious reasons. An LC circuit, oscillating at its natural resonant frequency, can store electrical energy.<br /> https://upload.wikimedia.org/wikipedia/commons/8/80/Tuned_circuit_animation_3_300ms.gif<br /> ===A Mathematical Model===<br /> <br /> Starting with [http://physicsbook.gatech.edu/Loop_Rule Kirchoff's Loop Rule], we have V = L * dI/dt + q/C.<br /> <br /> Taking the derivative of each term, dV/dt = L(d^2*I/dt^2) + 1/C * dq/dt.<br /> <br /> The voltage of the battery is constant, so that derivative vanishes. The derivative of charge is current, so that gives us a second order differential equation: 0 = L(d^2*I/dt^2) + 1/C * I<br /> <br /> Rearranging, (d^2/dt^2)I = - I/(LC).<br /> <br /> This can be solved by guessing and checking with a generic sine function: I = I0sin(ωt + φ)<br /> <br /> (d^2/dt^2)I0sin(ωt + φ) = -I0/(LC) * sin(ωt + φ)<br /> − ω^2*I0sin(ωt + φ) = -I0/(LC) * sin(ωt + φ)<br /> <br /> The angular frequency is now given by '''ω = 1/sqrt(LC)'''. This is also known as its resonance frequency.<br /> A LC circuit is then an oscillating circuit with frequency ω/(2π) = '''1/(2π*sqrt(LC))'''.<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> The first evidence that a capacitor and inductor could produce electrical oscillations was discovered in 1826 by French scientist Felix Savary He found that when a Leyden jar was discharged through a wire wound around an iron needle, sometimes the needle was left magnetized in one direction and sometimes in the opposite direction. He correctly deduced that this was caused by a damped oscillating discharge current in the wire, which reversed the magnetization of the needle back and forth until it was too small to have an effect, leaving the needle magnetized in a random direction. American physicist Joseph Henry repeated Savary's experiment in 1842 and came to the same conclusion, apparently independently. British scientist William Thomson (Lord Kelvin) in 1853 showed mathematically that the discharge of a Leyden jar through an inductance should be oscillatory, and derived its resonant frequency.[2][4][5] British radio researcher Oliver Lodge, by discharging a large battery of Leyden jars through a long wire, created a tuned circuit with its resonant frequency in the audio range, which produced a musical tone from the spark when it was discharged. In 1857, German physicist Berend Wilhelm Feddersen photographed the spark produced by a resonant Leyden jar circuit in a rotating mirror, providing visible evidence of the oscillations. In 1868, Scottish physicist James Clerk Maxwell calculated the effect of applying an alternating current to a circuit with inductance and capacitance, showing that the response is maximum at the resonant frequency.The first example of an electrical resonance curve was published in 1887 by German physicist Heinrich Hertz in his pioneering paper on the discovery of radio waves, showing the length of spark obtainable from his spark-gap LC resonator detectors as a function of frequency.<br /> <br /> One of the first demonstrations of resonance between tuned circuits was Lodge's &quot;syntonic jars&quot; experiment around 1889.He placed two resonant circuits next to each other, each consisting of a Leyden jar connected to an adjustable one-turn coil with a spark gap. When a high voltage from an induction coil was applied to one tuned circuit, creating sparks and thus oscillating currents, sparks were excited in the other tuned circuit only when the circuits were adjusted to resonance. Lodge and some English scientists preferred the term &quot;syntony&quot; for this effect, but the term &quot;resonance&quot; eventually stuck. The first practical use for LC circuits was in the 1890s in spark-gap radio transmitters to allow the receiver and transmitter to be tuned to the same frequency. The first patent for a radio system that allowed tuning was filed by Lodge in 1897, although the first practical systems were invented in 1900 by Italian radio pioneer Guglielmo Marconi.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> https://archive.org/stream/bstj20-4-415#page/n13/mode/2up<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=LC_Circuit&diff=2193 2015-11-27T22:47:42Z

<p>Rchawla32: </p> <hr /> <div>***Claimed by Rishab Chawla 11/19/15***<br /> ==Main Idea==<br /> <br /> Consider an electrical circuit consisting of an inductor, of inductance '''L''', connected in series with a capacitor, of capacitance '''C'''. Such a circuit is known as an LC circuit, for obvious reasons. An LC circuit, oscillating at its natural resonant frequency, can store electrical energy.<br /> https://upload.wikimedia.org/wikipedia/commons/8/80/Tuned_circuit_animation_3_300ms.gif<br /> ===A Mathematical Model===<br /> <br /> Starting with [http://physicsbook.gatech.edu/Loop_Rule Kirchoff's Loop Rule], we have V = L * dI/dt + q/C.<br /> <br /> Taking the derivative of each term, dV/dt = L(d^2*I/dt^2) + 1/C * dq/dt.<br /> <br /> The voltage of the battery is constant, so that derivative vanishes. The derivative of charge is current, so that gives us a second order differential equation: 0 = L(d^2*I/dt^2) + 1/C * I<br /> <br /> Rearranging, (d^2/dt^2)I = - I/(LC).<br /> <br /> This can be solved by guessing and checking with a generic sine function: I = I0sin(ωt + φ)<br /> <br /> (d^2/dt^2)I0sin(ωt + φ) = -I0/(LC) * sin(ωt + φ)<br /> − ω^2*I0sin(ωt + φ) = -I0/(LC) * sin(ωt + φ)<br /> <br /> The angular frequency is now given by '''ω = 1/sqrt(LC)'''. This is also known as its resonance frequency.<br /> A LC circuit is then an oscillating circuit with frequency ω/(2π) = '''1/(2π*sqrt(LC))'''.<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> The first evidence that a capacitor and inductor could produce electrical oscillations was discovered in 1826 by French scientist Felix Savary.[2][3] He found that when a Leyden jar was discharged through a wire wound around an iron needle, sometimes the needle was left magnetized in one direction and sometimes in the opposite direction. He correctly deduced that this was caused by a damped oscillating discharge current in the wire, which reversed the magnetization of the needle back and forth until it was too small to have an effect, leaving the needle magnetized in a random direction. American physicist Joseph Henry repeated Savary's experiment in 1842 and came to the same conclusion, apparently independently.[4][5] British scientist William Thomson (Lord Kelvin) in 1853 showed mathematically that the discharge of a Leyden jar through an inductance should be oscillatory, and derived its resonant frequency.[2][4][5] British radio researcher Oliver Lodge, by discharging a large battery of Leyden jars through a long wire, created a tuned circuit with its resonant frequency in the audio range, which produced a musical tone from the spark when it was discharged.[4] In 1857, German physicist Berend Wilhelm Feddersen photographed the spark produced by a resonant Leyden jar circuit in a rotating mirror, providing visible evidence of the oscillations.[2][4][5] In 1868, Scottish physicist James Clerk Maxwell calculated the effect of applying an alternating current to a circuit with inductance and capacitance, showing that the response is maximum at the resonant frequency.[2] The first example of an electrical resonance curve was published in 1887 by German physicist Heinrich Hertz in his pioneering paper on the discovery of radio waves, showing the length of spark obtainable from his spark-gap LC resonator detectors as a function of frequency.[2]<br /> One of the first demonstrations of resonance between tuned circuits was Lodge's &quot;syntonic jars&quot; experiment around 1889.[2][4] He placed two resonant circuits next to each other, each consisting of a Leyden jar connected to an adjustable one-turn coil with a spark gap. When a high voltage from an induction coil was applied to one tuned circuit, creating sparks and thus oscillating currents, sparks were excited in the other tuned circuit only when the circuits were adjusted to resonance. Lodge and some English scientists preferred the term &quot;syntony&quot; for this effect, but the term &quot;resonance&quot; eventually stuck.[2] The first practical use for LC circuits was in the 1890s in spark-gap radio transmitters to allow the receiver and transmitter to be tuned to the same frequency. The first patent for a radio system that allowed tuning was filed by Lodge in 1897, although the first practical systems were invented in 1900 by Italian radio pioneer Guglielmo Marconi.[2]<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> https://archive.org/stream/bstj20-4-415#page/n13/mode/2up<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=LC_Circuit&diff=2186 2015-11-27T22:37:52Z

<p>Rchawla32: </p> <hr /> <div>***Claimed by Rishab Chawla 11/19/15***<br /> ==Main Idea==<br /> <br /> Consider an electrical circuit consisting of an inductor, of inductance '''L''', connected in series with a capacitor, of capacitance '''C'''. Such a circuit is known as an LC circuit, for obvious reasons. <br /> <br /> ===A Mathematical Model===<br /> <br /> Starting with [http://physicsbook.gatech.edu/Loop_Rule Kirchoff's Loop Rule], we have V = L * dI/dt + q/C.<br /> <br /> Taking the derivative of each term, dV/dt = L(d^2*I/dt^2) + 1/C * dq/dt.<br /> <br /> The voltage of the battery is constant, so that derivative vanishes. The derivative of charge is current, so that gives us a second order differential equation: 0 = L(d^2*I/dt^2) + 1/C * I<br /> <br /> Rearranging, (d^2/dt^2)I = - I/(LC).<br /> <br /> This can be solved by guessing and checking with a generic sine function: I = I0sin(ωt + φ)<br /> <br /> (d^2/dt^2)I0sin(ωt + φ) = -I0/(LC) * sin(ωt + φ)<br /> − ω^2*I0sin(ωt + φ) = -I0/(LC) * sin(ωt + φ)<br /> <br /> The angular frequency is now given by '''ω = 1/sqrt(LC)'''.<br /> A LC circuit is then an oscillating circuit with frequency ω/(2π) = '''1/(2π*sqrt(LC))'''.<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=LC_Circuit&diff=2172 2015-11-27T22:23:59Z

<p>Rchawla32: </p> <hr /> <div>***Claimed by Rishab Chawla 11/19/15***<br /> ==Main Idea==<br /> <br /> Consider an electrical circuit consisting of an inductor, of inductance '''L''', connected in series with a capacitor, of capacitance '''C'''. Such a circuit is known as an LC circuit, for obvious reasons. <br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> <br /> Starting with [http://physicsbook.gatech.edu/Loop_Rule Kirchoff's Loop Rule], we have V = L*dI/dt + q/C<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32 http://www.physicsbook.gatech.edu/index.php?title=LC_Circuit&diff=2171 2015-11-27T22:21:18Z

<p>Rchawla32: </p> <hr /> <div>***Claimed by Rishab Chawla 11/19/15***<br /> ==Main Idea==<br /> <br /> Consider an electrical circuit consisting of an inductor, of inductance '''L''', connected in series with a capacitor, of capacitance '''C'''. Such a circuit is known as an LC circuit, for obvious reasons. <br /> <br /> ===A Mathematical Model===<br /> <br /> What are the mathematical equations that allow us to model this topic. For example &lt;math&gt;{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}&lt;/math&gt; where '''p''' is the momentum of the system and '''F''' is the net force from the surroundings.<br /> <br /> ===A Computational Model===<br /> <br /> How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]<br /> <br /> ==Examples==<br /> <br /> Be sure to show all steps in your solution and include diagrams whenever possible<br /> <br /> ===Simple===<br /> ===Middling===<br /> ===Difficult===<br /> <br /> ==Connectedness==<br /> #How is this topic connected to something that you are interested in?<br /> #How is it connected to your major?<br /> #Is there an interesting industrial application?<br /> <br /> ==History==<br /> <br /> Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br /> <br /> == See also ==<br /> <br /> Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?<br /> <br /> ===Further reading===<br /> <br /> Books, Articles or other print media on this topic<br /> <br /> ===External links===<br /> <br /> Internet resources on this topic<br /> <br /> ==References==<br /> <br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Which Category did you place this in?]]</div>

Rchawla32