http://www.physicsbook.gatech.edu/api.php?action=feedcontributions&feedformat=atom&user=Lchen353 2026-05-15T13:31:27Z User contributions MediaWiki 1.42.7 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=7980 2015-12-02T08:38:16Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> [[File:Amedeo_Avogadro2.jpg|thumb|right|Amedeo Avogadro]]<br /> <br /> =Bibliography=<br /> <br /> '''Amadeo Avagadro''' (Lorenze Romano Amedeo Carlo Avagadro, conte di Quaregna e Cerreto) was born on August 9, 1776 in Turin, Italy to his father Filippo, a magistrate and senator, and his mother Anna Vercellone, a noblewoman of noblewoman. Avagadro married Felicita Mazzé in 1818 when Avogadro was aged 42 and raised a family with six sons. <br /> <br /> Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. After finishing with a doctorate of ecclesiastical law in 1796, he privately began studying physics, and in 1806 he began teaching science and mathematics at the Academy of Sciences of Turin. Three years later he became a professor at the Royal College of Vercelli, but because of civil unrest the university was shut down and forced Avogadro to lose his chair position, only to regain his chair back in 1834. Avogadro died on July 9, 1856.<br /> <br /> <br /> =Scientific Contributions=<br /> Avagadro worked very closely with John Dalton and Joseph Gay-Lussac in researching the different properties of atoms, and throughout the early 1800s they performed experiments that led them to interesting conclusions, such as proving that a water molecule consists of two hydrogen atoms and one oxygen atom, instead of the proposed singular hydrogen and oxygen atom.<br /> <br /> ==Avagadro's Law==<br /> <br /> in 1811, Avagadro published his first scientific paper on the properties of molecules in the French Journal ''Journal de Physique''. This publication attempts to explain Lussac's observation when he combined 2 liters of hydrogen gas and 1 liter of oxygen gas to produce 1 liter of gaseous water. It explains that equal volumes of all gases at the same temperature and pressure contain equal numbers of molecules. The reason why Lussac's experiment produced those results is because the number of molecules decreases as the chemical reaction takes place between hyrogen and oxygen gases. This statement will become known as Avagadro's Law. Because of this, he was one of the first scientists recognize that elements can exist as molecules instead of strictly the atom.<br /> <br /> ===Reception===<br /> Despite Avagadro's (correct) interpretation of molecules and their properties, his work was not widely durring his lifetime. His work largely conflicted with more well known scientists at that time, such as Dalton and Jöns Jacob Berzelius, and was only accepted 4 years after his death in 1856, when a scientist named Stanislao Cannizzaro brought Avagadro's law to light explaining recurring exceptions that occurr at certain temperatures. <br /> <br /> ==Avagadro's Constant==<br /> Avagadro's constant, 6.02214129 x 10^23, was never calculated by Avagadro himself, but because Avagadro is eventually given the title of the founder of the atomic-molecular theory, the constant required for mole-atom conversion was named after Avagadro in 1911 by nobel prize winner Johann Josef Loschmidt.<br /> <br /> =External links=<br /> http://www.britannica.com/biography/Joseph-Loschmidt<br /> <br /> ==References==<br /> http://chemistry.about.com/od/famouschemists/a/avogadro.htm<br /> <br /> http://www.britannica.com/biography/Amedeo-Avogadro<br /> <br /> http://www.famousscientists.org/amedeo-avogadro/<br /> <br /> http://www.chemheritage.org/discover/online-resources/chemistry-in-history/themes/the-path-to-the-periodic-table/avogadro.aspx<br /> <br /> [[Category:Notable Scientists]]</div>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=7979 2015-12-02T08:33:40Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> [[File:Amedeo_Avogadro2.jpg|thumb|right|Amedeo Avogadro]]<br /> <br /> =Bibliography=<br /> <br /> '''Amadeo Avagadro''' (Lorenze Romano Amedeo Carlo Avagadro, conte di Quaregna e Cerreto) was born on August 9, 1776 in Turin, Italy to his father Filippo, a magistrate and senator, and his mother Anna Vercellone, a noblewoman of noblewoman. Avagadro married Felicita Mazzé in 1818 when Avogadro was aged 42 and raised a family with six sons. <br /> <br /> Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. After finishing with a doctorate of ecclesiastical law in 1796, he privately began studying physics, and in 1806 he began teaching science and mathematics at the Academy of Sciences of Turin. Three years later he became a professor at the Royal College of Vercelli, but because of civil unrest the university was shut down and forced Avogadro to lose his chair position, only to regain his chair back in 1834. Avogadro died on July 9, 1856.<br /> <br /> <br /> =Scientific Contributions=<br /> Avagadro worked very closely with John Dalton and Joseph Gay-Lussac in researching the different properties of atoms, and throughout the early 1800s they performed experiments that led them to interesting conclusions, such as proving that a water molecule consists of two hydrogen atoms and one oxygen atom, instead of the proposed singular hydrogen and oxygen atom.<br /> <br /> ==Avagadro's Law==<br /> <br /> in 1811, Avagadro published his first scientific paper on the properties of molecules in the French Journal ''Journal de Physique''. This publication attempts to explain Lussac's observation when he combined 2 liters of hydrogen gas and 1 liter of oxygen gas to produce 1 liter of gaseous water. It explains that equal volumes of all gases at the same temperature and pressure contain equal numbers of molecules. The reason why Lussac's experiment produced those results is because the number of molecules decreases as the chemical reaction takes place between hyrogen and oxygen gases. This statement will become known as Avagadro's Law. Because of this, he was one of the first scientists recognize that elements can exist as molecules instead of strictly the atom.<br /> <br /> ===Reception===<br /> Despite Avagadro's (correct) interpretation of molecules and their properties, his work was not widely durring his lifetime. His work largely conflicted with more well known scientists at that time, such as Dalton and Jöns Jacob Berzelius, and was only accepted 4 years after his death in 1856, when a scientist named Stanislao Cannizzaro brought Avagadro's law to light explaining recurring exceptions that occurr at certain temperatures. <br /> <br /> ==Avagadro's Constant==<br /> Avagadro's constant, 6.02214129 x 10^23<br /> <br /> =External links=<br /> <br /> ==References==<br /> http://chemistry.about.com/od/famouschemists/a/avogadro.htm<br /> <br /> http://www.britannica.com/biography/Amedeo-Avogadro<br /> <br /> http://www.famousscientists.org/amedeo-avogadro/<br /> <br /> http://www.chemheritage.org/discover/online-resources/chemistry-in-history/themes/the-path-to-the-periodic-table/avogadro.aspx<br /> <br /> [[Category:Notable Scientists]]</div>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=7978 2015-12-02T08:32:27Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> [[File:Amedeo_Avogadro2.jpg|thumb|right|Amedeo Avogadro]]<br /> <br /> =Bibliography=<br /> <br /> '''Amadeo Avagadro''' (Lorenze Romano Amedeo Carlo Avagadro, conte di Quaregna e Cerreto) was born on August 9, 1776 in Turin, Italy to his father Filippo, a magistrate and senator, and his mother Anna Vercellone, a noblewoman of noblewoman. Avagadro married Felicita Mazzé in 1818 when Avogadro was aged 42 and raised a family with six sons. <br /> <br /> Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. After finishing with a doctorate of ecclesiastical law in 1796, he privately began studying physics, and in 1806 he began teaching science and mathematics at the Academy of Sciences of Turin. Three years later he became a professor at the Royal College of Vercelli, but because of civil unrest the university was shut down and forced Avogadro to lose his chair position, only to regain his chair back in 1834. Avogadro died on July 9, 1856.<br /> <br /> <br /> =Scientific Contributions=<br /> Avagadro worked very closely with John Dalton and Joseph Gay-Lussac in researching the different properties of atoms, and throughout the early 1800s they performed experiments that led them to interesting conclusions, such as proving that a water molecule consists of two hydrogen atoms and one oxygen atom, instead of the proposed singular hydrogen and oxygen atom.<br /> <br /> ==Avagadro's Law==<br /> <br /> in 1811, Avagadro published his first scientific paper on the properties of molecules in the French Journal ''Journal de Physique''. This publication attempts to explain Lussac's observation when he combined 2 liters of hydrogen gas and 1 liter of oxygen gas to produce 1 liter of gaseous water. It explains that equal volumes of all gases at the same temperature and pressure contain equal numbers of molecules. The reason why Lussac's experiment produced those results is because the number of molecules decreases as the chemical reaction takes place between hyrogen and oxygen gases. This statement will become known as Avagadro's Law. Because of this, he was one of the first scientists recognize that elements can exist as molecules instead of strictly the atom.<br /> <br /> ===Reception===<br /> Despite Avagadro's (correct) interpretation of molecules and their properties, his work was not widely durring his lifetime. His work largely conflicted with more well known scientists at that time, such as Dalton and Jöns Jacob Berzelius, and was only accepted 4 years after his death in 1856, when a scientist named Stanislao Cannizzaro brought Avagadro's law to light explaining recurring exceptions that occurr at certain temperatures. <br /> <br /> =External links=<br /> <br /> ==References==<br /> http://chemistry.about.com/od/famouschemists/a/avogadro.htm<br /> <br /> http://www.britannica.com/biography/Amedeo-Avogadro<br /> <br /> http://www.famousscientists.org/amedeo-avogadro/<br /> <br /> http://www.chemheritage.org/discover/online-resources/chemistry-in-history/themes/the-path-to-the-periodic-table/avogadro.aspx<br /> <br /> [[Category:Notable Scientists]]</div>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=7976 2015-12-02T08:19:46Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> [[File:Amedeo_Avogadro2.jpg|thumb|right|Amedeo Avogadro]]<br /> <br /> =Bibliography=<br /> <br /> '''Amadeo Avagadro''' (Lorenze Romano Amedeo Carlo Avagadro, conte di Quaregna e Cerreto) was born on August 9, 1776 in Turin, Italy to his father Filippo, a magistrate and senator, and his mother Anna Vercellone, a noblewoman of noblewoman. Avagadro married Felicita Mazzé in 1818 when Avogadro was aged 42 and raised a family with six sons. <br /> <br /> Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. After finishing with a doctorate of ecclesiastical law in 1796, he privately began studying physics, and in 1806 he began teaching science and mathematics at the Academy of Sciences of Turin. Three years later he became a professor at the Royal College of Vercelli, but because of civil unrest the university was shut down and forced Avogadro to lose his chair position, only to regain his chair back in 1834. Avogadro died on July 9, 1856.<br /> <br /> <br /> =Scientific Contributions=<br /> Avagadro worked very closely with John Dalton and Joseph Gay-Lussac in researching the different properties of molecules, and throughout the early 1800s they performed experiments that led them to interesting conclusions, such as proving that a water molecule consists of two hydrogen atoms and one oxygen atom, instead of the proposed singular hydrogen and oxygen atom.<br /> <br /> ==Avagadro's Law==<br /> <br /> in 1811, Avagadro published his first scientific paper on the properties of molecules in the French Journal ''Journal de Physique''. This publication attempts to explain Lussac's observation when he combined 2 liters of hydrogen gas and 1 liter of oxygen gas to produce 1 liter of gaseous water. It explains that equal volumes of all gases at the same temperature and pressure contain equal numbers of molecules. This statement will become known as Avagadro's Law.<br /> <br /> ===Reception===<br /> <br /> <br /> =External links=<br /> <br /> ==References==<br /> http://chemistry.about.com/od/famouschemists/a/avogadro.htm<br /> <br /> http://www.britannica.com/biography/Amedeo-Avogadro<br /> <br /> http://www.famousscientists.org/amedeo-avogadro/<br /> <br /> http://www.chemheritage.org/discover/online-resources/chemistry-in-history/themes/the-path-to-the-periodic-table/avogadro.aspx<br /> <br /> [[Category:Notable Scientists]]</div>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=7965 2015-12-02T08:05:24Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> [[File:Amedeo_Avogadro2.jpg|thumb|right|Amedeo Avogadro]]<br /> <br /> =Bibliography=<br /> <br /> '''Amadeo Avagadro''' (Lorenze Romano Amedeo Carlo Avagadro, conte di Quaregna e Cerreto) was born on August 9, 1776 in Turin, Italy to his father Filippo, a magistrate and senator, and his mother Anna Vercellone, a noblewoman of noblewoman. Avagadro married Felicita Mazzé in 1818 when Avogadro was aged 42 and raised a family with six sons. <br /> <br /> Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. After finishing with a doctorate of ecclesiastical law in 1796, he privately began studying physics, and in 1806 he began teaching science and mathematics at the Academy of Sciences of Turin. Three years later he became a professor at the Royal College of Vercelli, but because of civil unrest the university was shut down and forced Avogadro to lose his chair position, only to regain his chair back in 1834. Avogadro died on July 9, 1856.<br /> <br /> <br /> =Scientific Contributions=<br /> Avagadro is most known for his work <br /> <br /> == See also ==<br /> <br /> ==References==<br /> http://chemistry.about.com/od/famouschemists/a/avogadro.htm<br /> <br /> http://www.britannica.com/biography/Amedeo-Avogadro<br /> <br /> http://www.famousscientists.org/amedeo-avogadro/<br /> <br /> http://www.chemheritage.org/discover/online-resources/chemistry-in-history/themes/the-path-to-the-periodic-table/avogadro.aspx<br /> <br /> [[Category:Notable Scientists]]</div>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=7963 2015-12-02T08:04:11Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> [[File:Amedeo_Avogadro2.jpg|thumb|right|Amedeo Avogadro]]<br /> <br /> <br /> =Bibliography=<br /> <br /> '''Amadeo Avagadro''' (Lorenze Romano Amedeo Carlo Avagadro, conte di Quaregna e Cerreto) was born on August 9, 1776 in Turin, Italy to his father Filippo, a magistrate and senator, and his mother Anna Vercellone, a noblewoman of noblewoman. Avagadro married Felicita Mazzé in 1818 when Avogadro was aged 42 and raised a family with six sons. <br /> <br /> Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. After finishing with a doctorate of ecclesiastical law in 1796, he privately began studying physics, and in 1806 he began teaching science and mathematics at the Academy of Sciences of Turin. Three years later he became a professor at the Royal College of Vercelli, but because of civil unrest the university was shut down and forced Avogadro to lose his chair position, only to regain his chair back in 1834. Avogadro died on July 9, 1856.<br /> <br /> <br /> =Scientific Contributions=<br /> Avagadro is most known for his work <br /> <br /> <br /> <br /> ==References==<br /> http://chemistry.about.com/od/famouschemists/a/avogadro.htm<br /> <br /> http://www.britannica.com/biography/Amedeo-Avogadro<br /> <br /> http://www.famousscientists.org/amedeo-avogadro/<br /> <br /> http://www.chemheritage.org/discover/online-resources/chemistry-in-history/themes/the-path-to-the-periodic-table/avogadro.aspx<br /> <br /> [[Category:Notable Scientists]]</div>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=7961 2015-12-02T08:03:20Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> [[File:Amedeo_Avogadro2.jpg|thumb|right|Amedeo Avogadro]]<br /> <br /> <br /> =Bibliography=<br /> <br /> '''Amadeo Avagadro''' (Lorenze Romano Amedeo Carlo Avagadro, conte di Quaregna e Cerreto) was born on August 9, 1776 in Turin, Italy to his father Filippo, a magistrate and senator, and his mother Anna Vercellone, a noblewoman of noblewoman. Avagadro married Felicita Mazzé in 1818 when Avogadro was aged 42 and raised a family with six sons. <br /> <br /> Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. After finishing with a doctorate of ecclesiastical law in 1796, he privately began studying physics, and in 1806 he began teaching science and mathematics at the Academy of Sciences of Turin. Three years later he became a professor at the Royal College of Vercelli, but because of civil unrest the university was shut down and forced Avogadro to lose his chair position, only to regain his chair back in 1834. Avogadro died on July 9, 1856.<br /> <br /> <br /> =Scientific Contributions=<br /> Avagadro is most known for his work <br /> <br /> <br /> <br /> ==References==<br /> http://chemistry.about.com/od/famouschemists/a/avogadro.htm<br /> http://www.britannica.com/biography/Amedeo-Avogadro<br /> http://www.famousscientists.org/amedeo-avogadro/<br /> http://www.chemheritage.org/discover/online-resources/chemistry-in-history/themes/the-path-to-the-periodic-table/avogadro.aspx<br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Notable Scientists]]</div>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=7960 2015-12-02T08:02:14Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> [[File:Amedeo_Avogadro2.jpg|thumb|right|Amedeo Avogadro]]<br /> <br /> <br /> =Bibliography=<br /> <br /> '''Amadeo Avagadro''' (Lorenze Romano Amedeo Carlo Avagadro, conte di Quaregna e Cerreto) was born on August 9, 1776 in Turin, Italy to his father Filippo, a magistrate and senator, and his mother Anna Vercellone, a noblewoman of noblewoman. Avagadro married Felicita Mazzé in 1818 when Avogadro was aged 42 and raised a family with six sons. <br /> <br /> Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. After finishing with a doctorate of ecclesiastical law in 1796, he privately began studying physics, and in 1806 he began teaching science and mathematics at the Academy of Sciences of Turin. Three years later he became a professor at the Royal College of Vercelli, but because of civil unrest the university was shut down and forced Avogadro to lose his chair position, only to regain his chair back in 1834. Avogadro died on July 9, 1856.<br /> <br /> <br /> =Scientific Contributions=<br /> Avagadro is most known for his work <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 /> [[http://chemistry.about.com/od/famouschemists/a/avogadro.htm]]<br /> [[http://www.britannica.com/biography/Amedeo-Avogadro]]<br /> [[http://www.famousscientists.org/amedeo-avogadro/]]<br /> [[http://www.chemheritage.org/discover/online-resources/chemistry-in-history/themes/the-path-to-the-periodic-table/avogadro.aspx]]<br /> This section contains the the references you used while writing this page<br /> <br /> [[Category:Notable Scientists]]</div>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=7959 2015-12-02T08:01:07Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> [[File:Amedeo_Avogadro2.jpg|thumb|right|Amedeo Avogadro]]<br /> <br /> <br /> =Bibliography=<br /> <br /> '''Amadeo Avagadro''' (Lorenze Romano Amedeo Carlo Avagadro, conte di Quaregna e Cerreto) was born on August 9, 1776 in Turin, Italy to his father Filippo, a magistrate and senator, and his mother Anna Vercellone, a noblewoman of noblewoman. Avagadro married Felicita Mazzé in 1818 when Avogadro was aged 42 and raised a family with six sons. <br /> <br /> Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. After finishing with a doctorate of ecclesiastical law in 1796, he privately began studying physics, and in 1806 he began teaching science and mathematics at the Academy of Sciences of Turin. Three years later he became a professor at the Royal College of Vercelli, but because of civil unrest the university was shut down and forced Avogadro to lose his chair position, only to regain his chair back in 1834. Avogadro died on July 9, 1856.<br /> <br /> <br /> =Scientific Contributions=<br /> Avagadro is most known for his work <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>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=7957 2015-12-02T07:57:40Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> [[File:Amedeo_Avogadro2.jpg|thumb|right|Amedeo Avogadro]]<br /> <br /> <br /> =Bibliography=<br /> <br /> '''Amadeo Avagadro''' (Lorenze Romano Amedeo Carlo Avagadro, conte di Quaregna e Cerreto) was born on August 9, 1776 in Turin, Italy to a well-renown lawyer family known as the Piedmont family. He married Felicita Mazzé in 1818 when Avogadro was aged 42 and raised a family with six sons. <br /> <br /> Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. After finishing with a doctorate of ecclesiastical law in 1796, he privately began studying physics, and in 1806 he began teaching science and mathematics at the Academy of Sciences of Turin. Three years later he became a professor at the Royal College of Vercelli, but because of civil unrest the university was shut down and forced Avogadro to lose his chair position, only to regain his chair back in 1834. Avogadro died on July 9, 1856.<br /> <br /> ===A Mathematical Model===<br /> <br /> In order to find the potential difference between two locations, we use this formula &lt;math&gt; dV = -\left(E_x*dx + E_y*dy + E_z*dz\right) &lt;/math&gt;, where '''E''' is the electric field with components in the x, y, and z directions. Delta x, y, and z are the components of final location minus to the components of the initial location.<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 /> =Simple Example=<br /> [[File:pathindependence.png]]<br /> <br /> In this example, the electric field is equal to &lt;math&gt; E = \left(E_x, 0, 0\right)&lt;/math&gt;. The initial location is A and the final location is C. In order to find the potential difference between A and C, we use &lt;math&gt;dV = V_C - V_A &lt;/math&gt;. <br /> <br /> Since there are no y and z components of the electric field, the potential difference is &lt;math&gt; dV = -\left(E_x*\left(x_1 - 0\right) + 0*\left(-y_1 - 0\right) + 0*0\right) = -E_x*x_1&lt;/math&gt;<br /> <br /> [[File:BC.png]]<br /> <br /> Let's say there is a location B at &lt;math&gt; \left(x_1, 0, 0\right) &lt;/math&gt;. Now in order to find the potential difference between A and C, we need to find the potential difference between A and B and then between B and C. <br /> <br /> The potential difference between A and B is &lt;math&gt;dV = V_B - V_A = -\left(E_x*\left(x_1 - 0\right) + 0*0 + 0*0\right) = -E_x*x_1&lt;/math&gt;.<br /> <br /> The potential difference between B and C is &lt;math&gt;dV = V_C - V_B = -\left(E_x*0 + 0*\left(-y_1 - 0\right) + 0*0\right) = 0&lt;/math&gt;.<br /> <br /> Therefore, the potential difference A and C is &lt;math&gt;V_C - V_A = \left(V_C - V_B\right) + \left(V_B - V_A\right) = E_x*x_1 &lt;/math&gt;, which is the same answer that we got when we did not use location B.<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>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=5153 2015-11-30T23:45:44Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> [[File:Amedeo_Avogadro2.jpg|thumb|right|Amedeo Avogadro]]<br /> <br /> <br /> =Bibliography=<br /> <br /> '''Amadeo Avagadro''' (Lorenze Romano Amedeo Carlo Avagadro, conte di Quaregna e Cerreto) was born on August 9, 1776 in Turin, Italy. Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. After finishing with a doctorate of ecclesiastical law in 1796, he privately began studying physics, and in 1806 he began teaching science and mathematics at the Academy of Sciences of Turin. Three years later he became a professor at the Royal College of Vercelli, but because of civil unrest the university was shut down and forced Avogadro to lose his chair position, only to regain his chair back in 1834. Avogadro died on July 9, 1856.<br /> <br /> ===A Mathematical Model===<br /> <br /> In order to find the potential difference between two locations, we use this formula &lt;math&gt; dV = -\left(E_x*dx + E_y*dy + E_z*dz\right) &lt;/math&gt;, where '''E''' is the electric field with components in the x, y, and z directions. Delta x, y, and z are the components of final location minus to the components of the initial location.<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 /> =Simple Example=<br /> [[File:pathindependence.png]]<br /> <br /> In this example, the electric field is equal to &lt;math&gt; E = \left(E_x, 0, 0\right)&lt;/math&gt;. The initial location is A and the final location is C. In order to find the potential difference between A and C, we use &lt;math&gt;dV = V_C - V_A &lt;/math&gt;. <br /> <br /> Since there are no y and z components of the electric field, the potential difference is &lt;math&gt; dV = -\left(E_x*\left(x_1 - 0\right) + 0*\left(-y_1 - 0\right) + 0*0\right) = -E_x*x_1&lt;/math&gt;<br /> <br /> [[File:BC.png]]<br /> <br /> Let's say there is a location B at &lt;math&gt; \left(x_1, 0, 0\right) &lt;/math&gt;. Now in order to find the potential difference between A and C, we need to find the potential difference between A and B and then between B and C. <br /> <br /> The potential difference between A and B is &lt;math&gt;dV = V_B - V_A = -\left(E_x*\left(x_1 - 0\right) + 0*0 + 0*0\right) = -E_x*x_1&lt;/math&gt;.<br /> <br /> The potential difference between B and C is &lt;math&gt;dV = V_C - V_B = -\left(E_x*0 + 0*\left(-y_1 - 0\right) + 0*0\right) = 0&lt;/math&gt;.<br /> <br /> Therefore, the potential difference A and C is &lt;math&gt;V_C - V_A = \left(V_C - V_B\right) + \left(V_B - V_A\right) = E_x*x_1 &lt;/math&gt;, which is the same answer that we got when we did not use location B.<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>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=5152 2015-11-30T23:44:54Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> [[File:Amedeo_Avogadro2|thumb|right|Amedeo Avogadro]]<br /> <br /> <br /> =Bibliography=<br /> <br /> '''Amadeo Avagadro''' (Lorenze Romano Amedeo Carlo Avagadro, conte di Quaregna e Cerreto) was born on August 9, 1776 in Turin, Italy. Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. After finishing with a doctorate of ecclesiastical law in 1796, he privately began studying physics, and in 1806 he began teaching science and mathematics at the Academy of Sciences of Turin. Three years later he became a professor at the Royal College of Vercelli, but because of civil unrest the university was shut down and forced Avogadro to lose his chair position, only to regain his chair back in 1834. Avogadro died on July 9, 1856.<br /> <br /> ===A Mathematical Model===<br /> <br /> In order to find the potential difference between two locations, we use this formula &lt;math&gt; dV = -\left(E_x*dx + E_y*dy + E_z*dz\right) &lt;/math&gt;, where '''E''' is the electric field with components in the x, y, and z directions. Delta x, y, and z are the components of final location minus to the components of the initial location.<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 /> =Simple Example=<br /> [[File:pathindependence.png]]<br /> <br /> In this example, the electric field is equal to &lt;math&gt; E = \left(E_x, 0, 0\right)&lt;/math&gt;. The initial location is A and the final location is C. In order to find the potential difference between A and C, we use &lt;math&gt;dV = V_C - V_A &lt;/math&gt;. <br /> <br /> Since there are no y and z components of the electric field, the potential difference is &lt;math&gt; dV = -\left(E_x*\left(x_1 - 0\right) + 0*\left(-y_1 - 0\right) + 0*0\right) = -E_x*x_1&lt;/math&gt;<br /> <br /> [[File:BC.png]]<br /> <br /> Let's say there is a location B at &lt;math&gt; \left(x_1, 0, 0\right) &lt;/math&gt;. Now in order to find the potential difference between A and C, we need to find the potential difference between A and B and then between B and C. <br /> <br /> The potential difference between A and B is &lt;math&gt;dV = V_B - V_A = -\left(E_x*\left(x_1 - 0\right) + 0*0 + 0*0\right) = -E_x*x_1&lt;/math&gt;.<br /> <br /> The potential difference between B and C is &lt;math&gt;dV = V_C - V_B = -\left(E_x*0 + 0*\left(-y_1 - 0\right) + 0*0\right) = 0&lt;/math&gt;.<br /> <br /> Therefore, the potential difference A and C is &lt;math&gt;V_C - V_A = \left(V_C - V_B\right) + \left(V_B - V_A\right) = E_x*x_1 &lt;/math&gt;, which is the same answer that we got when we did not use location B.<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>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=5140 2015-11-30T23:37:19Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> <br /> =Bibliography=<br /> <br /> '''Amadeo Avagadro''' (Lorenze Romano Amedeo Carlo Avagadro, conte di Quaregna e Cerreto) was born on August 9, 1776 in Turin, Italy. Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. After finishing with a doctorate of ecclesiastical law in 1796, he privately began studying physics, and in 1806 he began teaching science and mathematics at the Academy of Sciences of Turin. Three years later he became a professor at the Royal College of Vercelli, but because of civil unrest the university was shut down and forced Avogadro to lose his chair position, only to regain his chair back in 1834. Avogadro died on July 9, 1856.<br /> <br /> ===A Mathematical Model===<br /> <br /> In order to find the potential difference between two locations, we use this formula &lt;math&gt; dV = -\left(E_x*dx + E_y*dy + E_z*dz\right) &lt;/math&gt;, where '''E''' is the electric field with components in the x, y, and z directions. Delta x, y, and z are the components of final location minus to the components of the initial location.<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 /> =Simple Example=<br /> [[File:pathindependence.png]]<br /> <br /> In this example, the electric field is equal to &lt;math&gt; E = \left(E_x, 0, 0\right)&lt;/math&gt;. The initial location is A and the final location is C. In order to find the potential difference between A and C, we use &lt;math&gt;dV = V_C - V_A &lt;/math&gt;. <br /> <br /> Since there are no y and z components of the electric field, the potential difference is &lt;math&gt; dV = -\left(E_x*\left(x_1 - 0\right) + 0*\left(-y_1 - 0\right) + 0*0\right) = -E_x*x_1&lt;/math&gt;<br /> <br /> [[File:BC.png]]<br /> <br /> Let's say there is a location B at &lt;math&gt; \left(x_1, 0, 0\right) &lt;/math&gt;. Now in order to find the potential difference between A and C, we need to find the potential difference between A and B and then between B and C. <br /> <br /> The potential difference between A and B is &lt;math&gt;dV = V_B - V_A = -\left(E_x*\left(x_1 - 0\right) + 0*0 + 0*0\right) = -E_x*x_1&lt;/math&gt;.<br /> <br /> The potential difference between B and C is &lt;math&gt;dV = V_C - V_B = -\left(E_x*0 + 0*\left(-y_1 - 0\right) + 0*0\right) = 0&lt;/math&gt;.<br /> <br /> Therefore, the potential difference A and C is &lt;math&gt;V_C - V_A = \left(V_C - V_B\right) + \left(V_B - V_A\right) = E_x*x_1 &lt;/math&gt;, which is the same answer that we got when we did not use location B.<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>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=5121 2015-11-30T23:27:56Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> <br /> =Bibliography=<br /> <br /> '''Amadeo Avagadro''' (Lorenze Romano Amedeo Carlo Avagadro, conte di Quaregna e Cerreto) was born on August 9, 1776 in Turin, Italy. Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. After finishing with a doctorate of ecclesiastical law in 1796, he privately began studying physics, and in 1806 he began teaching science and mathematics at the Academy of Sciences of Turin. Three years later he became a professor at the Royal College of Vercelli, but because of civil unrest the university was shut down and forced Avogadro to lose his chair. <br /> <br /> ===A Mathematical Model===<br /> <br /> In order to find the potential difference between two locations, we use this formula &lt;math&gt; dV = -\left(E_x*dx + E_y*dy + E_z*dz\right) &lt;/math&gt;, where '''E''' is the electric field with components in the x, y, and z directions. Delta x, y, and z are the components of final location minus to the components of the initial location.<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 /> =Simple Example=<br /> [[File:pathindependence.png]]<br /> <br /> In this example, the electric field is equal to &lt;math&gt; E = \left(E_x, 0, 0\right)&lt;/math&gt;. The initial location is A and the final location is C. In order to find the potential difference between A and C, we use &lt;math&gt;dV = V_C - V_A &lt;/math&gt;. <br /> <br /> Since there are no y and z components of the electric field, the potential difference is &lt;math&gt; dV = -\left(E_x*\left(x_1 - 0\right) + 0*\left(-y_1 - 0\right) + 0*0\right) = -E_x*x_1&lt;/math&gt;<br /> <br /> [[File:BC.png]]<br /> <br /> Let's say there is a location B at &lt;math&gt; \left(x_1, 0, 0\right) &lt;/math&gt;. Now in order to find the potential difference between A and C, we need to find the potential difference between A and B and then between B and C. <br /> <br /> The potential difference between A and B is &lt;math&gt;dV = V_B - V_A = -\left(E_x*\left(x_1 - 0\right) + 0*0 + 0*0\right) = -E_x*x_1&lt;/math&gt;.<br /> <br /> The potential difference between B and C is &lt;math&gt;dV = V_C - V_B = -\left(E_x*0 + 0*\left(-y_1 - 0\right) + 0*0\right) = 0&lt;/math&gt;.<br /> <br /> Therefore, the potential difference A and C is &lt;math&gt;V_C - V_A = \left(V_C - V_B\right) + \left(V_B - V_A\right) = E_x*x_1 &lt;/math&gt;, which is the same answer that we got when we did not use location B.<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>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=5102 2015-11-30T23:20:48Z

<p>Lchen353: A Wiki Page to Amedeo Avagadro</p> <hr /> <div>Claimed by lchen353<br /> <br /> =Bibliography=<br /> <br /> Amadeo Avagadro was born on August 9, 1776 in Turin, Italy. Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. <br /> <br /> ===A Mathematical Model===<br /> <br /> In order to find the potential difference between two locations, we use this formula &lt;math&gt; dV = -\left(E_x*dx + E_y*dy + E_z*dz\right) &lt;/math&gt;, where '''E''' is the electric field with components in the x, y, and z directions. Delta x, y, and z are the components of final location minus to the components of the initial location.<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 /> =Simple Example=<br /> [[File:pathindependence.png]]<br /> <br /> In this example, the electric field is equal to &lt;math&gt; E = \left(E_x, 0, 0\right)&lt;/math&gt;. The initial location is A and the final location is C. In order to find the potential difference between A and C, we use &lt;math&gt;dV = V_C - V_A &lt;/math&gt;. <br /> <br /> Since there are no y and z components of the electric field, the potential difference is &lt;math&gt; dV = -\left(E_x*\left(x_1 - 0\right) + 0*\left(-y_1 - 0\right) + 0*0\right) = -E_x*x_1&lt;/math&gt;<br /> <br /> [[File:BC.png]]<br /> <br /> Let's say there is a location B at &lt;math&gt; \left(x_1, 0, 0\right) &lt;/math&gt;. Now in order to find the potential difference between A and C, we need to find the potential difference between A and B and then between B and C. <br /> <br /> The potential difference between A and B is &lt;math&gt;dV = V_B - V_A = -\left(E_x*\left(x_1 - 0\right) + 0*0 + 0*0\right) = -E_x*x_1&lt;/math&gt;.<br /> <br /> The potential difference between B and C is &lt;math&gt;dV = V_C - V_B = -\left(E_x*0 + 0*\left(-y_1 - 0\right) + 0*0\right) = 0&lt;/math&gt;.<br /> <br /> Therefore, the potential difference A and C is &lt;math&gt;V_C - V_A = \left(V_C - V_B\right) + \left(V_B - V_A\right) = E_x*x_1 &lt;/math&gt;, which is the same answer that we got when we did not use location B.<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>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=5095 2015-11-30T23:18:50Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> <br /> ==Bibliography==<br /> <br /> Amadeo Avagadro was born on August 9, 1776 in Turin, Italy. Avogadro had initially started going to law school after his father's request and tradition, but soon after he was inspired to pursue a new path and committed his life to mathematics, physics, and chemistry. <br /> <br /> ===A Mathematical Model===<br /> <br /> In order to find the potential difference between two locations, we use this formula &lt;math&gt; dV = -\left(E_x*dx + E_y*dy + E_z*dz\right) &lt;/math&gt;, where '''E''' is the electric field with components in the x, y, and z directions. Delta x, y, and z are the components of final location minus to the components of the initial location.<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 /> =Simple Example=<br /> [[File:pathindependence.png]]<br /> <br /> In this example, the electric field is equal to &lt;math&gt; E = \left(E_x, 0, 0\right)&lt;/math&gt;. The initial location is A and the final location is C. In order to find the potential difference between A and C, we use &lt;math&gt;dV = V_C - V_A &lt;/math&gt;. <br /> <br /> Since there are no y and z components of the electric field, the potential difference is &lt;math&gt; dV = -\left(E_x*\left(x_1 - 0\right) + 0*\left(-y_1 - 0\right) + 0*0\right) = -E_x*x_1&lt;/math&gt;<br /> <br /> [[File:BC.png]]<br /> <br /> Let's say there is a location B at &lt;math&gt; \left(x_1, 0, 0\right) &lt;/math&gt;. Now in order to find the potential difference between A and C, we need to find the potential difference between A and B and then between B and C. <br /> <br /> The potential difference between A and B is &lt;math&gt;dV = V_B - V_A = -\left(E_x*\left(x_1 - 0\right) + 0*0 + 0*0\right) = -E_x*x_1&lt;/math&gt;.<br /> <br /> The potential difference between B and C is &lt;math&gt;dV = V_C - V_B = -\left(E_x*0 + 0*\left(-y_1 - 0\right) + 0*0\right) = 0&lt;/math&gt;.<br /> <br /> Therefore, the potential difference A and C is &lt;math&gt;V_C - V_A = \left(V_C - V_B\right) + \left(V_B - V_A\right) = E_x*x_1 &lt;/math&gt;, which is the same answer that we got when we did not use location B.<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>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=5072 2015-11-30T23:09:00Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> <br /> ==Bibliography==<br /> <br /> Amadeo Avagadro was born on June 9, 1776 in Turin, Italy. <br /> <br /> ===A Mathematical Model===<br /> <br /> In order to find the potential difference between two locations, we use this formula &lt;math&gt; dV = -\left(E_x*dx + E_y*dy + E_z*dz\right) &lt;/math&gt;, where '''E''' is the electric field with components in the x, y, and z directions. Delta x, y, and z are the components of final location minus to the components of the initial location.<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 /> =Simple Example=<br /> [[File:pathindependence.png]]<br /> <br /> In this example, the electric field is equal to &lt;math&gt; E = \left(E_x, 0, 0\right)&lt;/math&gt;. The initial location is A and the final location is C. In order to find the potential difference between A and C, we use &lt;math&gt;dV = V_C - V_A &lt;/math&gt;. <br /> <br /> Since there are no y and z components of the electric field, the potential difference is &lt;math&gt; dV = -\left(E_x*\left(x_1 - 0\right) + 0*\left(-y_1 - 0\right) + 0*0\right) = -E_x*x_1&lt;/math&gt;<br /> <br /> [[File:BC.png]]<br /> <br /> Let's say there is a location B at &lt;math&gt; \left(x_1, 0, 0\right) &lt;/math&gt;. Now in order to find the potential difference between A and C, we need to find the potential difference between A and B and then between B and C. <br /> <br /> The potential difference between A and B is &lt;math&gt;dV = V_B - V_A = -\left(E_x*\left(x_1 - 0\right) + 0*0 + 0*0\right) = -E_x*x_1&lt;/math&gt;.<br /> <br /> The potential difference between B and C is &lt;math&gt;dV = V_C - V_B = -\left(E_x*0 + 0*\left(-y_1 - 0\right) + 0*0\right) = 0&lt;/math&gt;.<br /> <br /> Therefore, the potential difference A and C is &lt;math&gt;V_C - V_A = \left(V_C - V_B\right) + \left(V_B - V_A\right) = E_x*x_1 &lt;/math&gt;, which is the same answer that we got when we did not use location B.<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>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=5052 2015-11-30T23:03:57Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353<br /> <br /> ==Path Independence==<br /> <br /> The potential difference between two locations does not depend on the path taken between the locations chosen. <br /> <br /> ===A Mathematical Model===<br /> <br /> In order to find the potential difference between two locations, we use this formula &lt;math&gt; dV = -\left(E_x*dx + E_y*dy + E_z*dz\right) &lt;/math&gt;, where '''E''' is the electric field with components in the x, y, and z directions. Delta x, y, and z are the components of final location minus to the components of the initial location.<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 /> =Simple Example=<br /> [[File:pathindependence.png]]<br /> <br /> In this example, the electric field is equal to &lt;math&gt; E = \left(E_x, 0, 0\right)&lt;/math&gt;. The initial location is A and the final location is C. In order to find the potential difference between A and C, we use &lt;math&gt;dV = V_C - V_A &lt;/math&gt;. <br /> <br /> Since there are no y and z components of the electric field, the potential difference is &lt;math&gt; dV = -\left(E_x*\left(x_1 - 0\right) + 0*\left(-y_1 - 0\right) + 0*0\right) = -E_x*x_1&lt;/math&gt;<br /> <br /> [[File:BC.png]]<br /> <br /> Let's say there is a location B at &lt;math&gt; \left(x_1, 0, 0\right) &lt;/math&gt;. Now in order to find the potential difference between A and C, we need to find the potential difference between A and B and then between B and C. <br /> <br /> The potential difference between A and B is &lt;math&gt;dV = V_B - V_A = -\left(E_x*\left(x_1 - 0\right) + 0*0 + 0*0\right) = -E_x*x_1&lt;/math&gt;.<br /> <br /> The potential difference between B and C is &lt;math&gt;dV = V_C - V_B = -\left(E_x*0 + 0*\left(-y_1 - 0\right) + 0*0\right) = 0&lt;/math&gt;.<br /> <br /> Therefore, the potential difference A and C is &lt;math&gt;V_C - V_A = \left(V_C - V_B\right) + \left(V_B - V_A\right) = E_x*x_1 &lt;/math&gt;, which is the same answer that we got when we did not use location B.<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>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=5050 2015-11-30T23:02:58Z

<p>Lchen353: </p> <hr /> <div>Claimed by lchen353</div>

Lchen353 http://www.physicsbook.gatech.edu/index.php?title=Amedeo_Avogadro&diff=5042 2015-11-30T23:02:01Z

<p>Lchen353: Created page with &quot;?&quot;</p> <hr /> <div>?</div>

Lchen353