http://www.physicsbook.gatech.edu/api.php?action=feedcontributions&feedformat=atom&user=Fsheikh6Physics Book - User contributions [en]2026-05-03T23:12:37ZUser contributionsMediaWiki 1.42.7http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=16594Lorentz Force2015-12-05T23:15:00Z<p>Fsheikh6: /* Difficult */</p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
<br />
Solution: The Lorentz Force is 0 N.<br />
<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
<br />
Solution:<br />
<br />
Lorentz Force = Electric Force + Magnetic Force<br />
<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
<br />
Solution:<br />
<br />
Electric Force = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
<br />
Magnetic Force = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
<br />
Lorentz Force = Force Electric + Force Magnetic = 4.48e-24 N<br />
<br />
==Connectedness==<br />
#I am interested in hovering spacecrafts and the Lorentz Force can be useful for this topic. Assuming that the Earth's magnetic field is a dipole that rotates with the Earth, a dynamical model that characterizes the relative motion of Lorentz spacecraft is derived to analyze the required open-loop control acceleration for hovering. What must be understood first is the hovering configurations that could achieve propellantless hovering and the corresponding required specific charge of a Lorentz spacecraft.<br />
#As an aerospace engineering major, I can investigate the feasibility of using the induced Lorentz force as an auxiliary means of propulsion for spacecraft hovering. To achieve hovering, a spacecraft thrusts continuously to induce an equilibrium state at a desired position. Due to the constraints on the quantity of propellant onboard, long-time hovering around low-Earth orbits (LEO) is hardly achievable using traditional chemical propulsion. The Lorentz force, acting on an electrostatically charged spacecraft as it moves through a planetary magnetic field, provides a new propellantless method for orbital maneuvers.<br />
#In metallurgic industry the in-situ measurement of the flow rate of metal melts is still an unsolved problem. Due to the chemical aggressiveness of high-temperature melts, classical measurement techniques such as fly-wheel, Pitot tube, and hotwire probes cannot be used as these methods require mechanical contact with the melt. This is where the calibration of a non-contact electromagnetic flow rate measurement device called Lorentz force flow meter (LFF) comes in handy. To use this Lorentz force flow meter in industrial applications with a determined accuracy, a proper calibration of the flow meter has to be performed beforehand. To this aim, a two-step calibration method consisting of a dry and a wet technique must be performed.<br />
<br />
==History==<br />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<br />
<br />
===Further reading===<br />
<br />
*http://hyperphysics.phy-astr.gsu.edu/HBASE/hframe.html<br />
*http://www.ittc.ku.edu/~jstiles/220/handouts/section%203_6%20The%20Lorentz%20Force%20Law%20package.pdf<br />
<br />
===External links===<br />
<br />
*http://jnaudin.free.fr/lifters/lorentz/<br />
*https://nationalmaglab.org/education/magnet-academy/watch-play/interactive/lorentz-force<br />
<br />
==References==<br />
<br />
*Feynman, Richard Phillips; Leighton, Robert B.; Sands, Matthew L. (2006). The Feynman lectures on physics (3 vol.). Pearson / Addison-Wesley. ISBN 0-8053-9047-2.: volume 2.<br />
*Jackson, John David (1999). Classical electrodynamics (3rd ed.). New York, [NY.]: Wiley. ISBN 0-471-30932-X.<br />
*Serway, Raymond A.; Jewett, John W., Jr. (2004). Physics for scientists and engineers, with modern physics. Belmont, [CA.]: Thomson Brooks/Cole. ISBN 0-534-40846-X.<br />
<br />
<br />
[[Category:Which Category did you place this in?]]</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=16590Lorentz Force2015-12-05T23:14:45Z<p>Fsheikh6: /* Difficult */</p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
<br />
Solution: The Lorentz Force is 0 N.<br />
<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
<br />
Solution:<br />
<br />
Lorentz Force = Electric Force + Magnetic Force<br />
<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
<br />
Solution:<br />
<br />
Electric Force = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
<br />
Magnetic Force = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<br />
<br />
==Connectedness==<br />
#I am interested in hovering spacecrafts and the Lorentz Force can be useful for this topic. Assuming that the Earth's magnetic field is a dipole that rotates with the Earth, a dynamical model that characterizes the relative motion of Lorentz spacecraft is derived to analyze the required open-loop control acceleration for hovering. What must be understood first is the hovering configurations that could achieve propellantless hovering and the corresponding required specific charge of a Lorentz spacecraft.<br />
#As an aerospace engineering major, I can investigate the feasibility of using the induced Lorentz force as an auxiliary means of propulsion for spacecraft hovering. To achieve hovering, a spacecraft thrusts continuously to induce an equilibrium state at a desired position. Due to the constraints on the quantity of propellant onboard, long-time hovering around low-Earth orbits (LEO) is hardly achievable using traditional chemical propulsion. The Lorentz force, acting on an electrostatically charged spacecraft as it moves through a planetary magnetic field, provides a new propellantless method for orbital maneuvers.<br />
#In metallurgic industry the in-situ measurement of the flow rate of metal melts is still an unsolved problem. Due to the chemical aggressiveness of high-temperature melts, classical measurement techniques such as fly-wheel, Pitot tube, and hotwire probes cannot be used as these methods require mechanical contact with the melt. This is where the calibration of a non-contact electromagnetic flow rate measurement device called Lorentz force flow meter (LFF) comes in handy. To use this Lorentz force flow meter in industrial applications with a determined accuracy, a proper calibration of the flow meter has to be performed beforehand. To this aim, a two-step calibration method consisting of a dry and a wet technique must be performed.<br />
<br />
==History==<br />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<br />
<br />
===Further reading===<br />
<br />
*http://hyperphysics.phy-astr.gsu.edu/HBASE/hframe.html<br />
*http://www.ittc.ku.edu/~jstiles/220/handouts/section%203_6%20The%20Lorentz%20Force%20Law%20package.pdf<br />
<br />
===External links===<br />
<br />
*http://jnaudin.free.fr/lifters/lorentz/<br />
*https://nationalmaglab.org/education/magnet-academy/watch-play/interactive/lorentz-force<br />
<br />
==References==<br />
<br />
*Feynman, Richard Phillips; Leighton, Robert B.; Sands, Matthew L. (2006). The Feynman lectures on physics (3 vol.). Pearson / Addison-Wesley. ISBN 0-8053-9047-2.: volume 2.<br />
*Jackson, John David (1999). Classical electrodynamics (3rd ed.). New York, [NY.]: Wiley. ISBN 0-471-30932-X.<br />
*Serway, Raymond A.; Jewett, John W., Jr. (2004). Physics for scientists and engineers, with modern physics. Belmont, [CA.]: Thomson Brooks/Cole. ISBN 0-534-40846-X.<br />
<br />
<br />
[[Category:Which Category did you place this in?]]</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=16586Lorentz Force2015-12-05T23:14:18Z<p>Fsheikh6: /* Difficult */</p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
<br />
Solution: The Lorentz Force is 0 N.<br />
<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
<br />
Solution:<br />
<br />
Lorentz Force = Electric Force + Magnetic Force<br />
<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
<br />
Solution:<br />
<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<br />
<br />
==Connectedness==<br />
#I am interested in hovering spacecrafts and the Lorentz Force can be useful for this topic. Assuming that the Earth's magnetic field is a dipole that rotates with the Earth, a dynamical model that characterizes the relative motion of Lorentz spacecraft is derived to analyze the required open-loop control acceleration for hovering. What must be understood first is the hovering configurations that could achieve propellantless hovering and the corresponding required specific charge of a Lorentz spacecraft.<br />
#As an aerospace engineering major, I can investigate the feasibility of using the induced Lorentz force as an auxiliary means of propulsion for spacecraft hovering. To achieve hovering, a spacecraft thrusts continuously to induce an equilibrium state at a desired position. Due to the constraints on the quantity of propellant onboard, long-time hovering around low-Earth orbits (LEO) is hardly achievable using traditional chemical propulsion. The Lorentz force, acting on an electrostatically charged spacecraft as it moves through a planetary magnetic field, provides a new propellantless method for orbital maneuvers.<br />
#In metallurgic industry the in-situ measurement of the flow rate of metal melts is still an unsolved problem. Due to the chemical aggressiveness of high-temperature melts, classical measurement techniques such as fly-wheel, Pitot tube, and hotwire probes cannot be used as these methods require mechanical contact with the melt. This is where the calibration of a non-contact electromagnetic flow rate measurement device called Lorentz force flow meter (LFF) comes in handy. To use this Lorentz force flow meter in industrial applications with a determined accuracy, a proper calibration of the flow meter has to be performed beforehand. To this aim, a two-step calibration method consisting of a dry and a wet technique must be performed.<br />
<br />
==History==<br />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<br />
<br />
===Further reading===<br />
<br />
*http://hyperphysics.phy-astr.gsu.edu/HBASE/hframe.html<br />
*http://www.ittc.ku.edu/~jstiles/220/handouts/section%203_6%20The%20Lorentz%20Force%20Law%20package.pdf<br />
<br />
===External links===<br />
<br />
*http://jnaudin.free.fr/lifters/lorentz/<br />
*https://nationalmaglab.org/education/magnet-academy/watch-play/interactive/lorentz-force<br />
<br />
==References==<br />
<br />
*Feynman, Richard Phillips; Leighton, Robert B.; Sands, Matthew L. (2006). The Feynman lectures on physics (3 vol.). Pearson / Addison-Wesley. ISBN 0-8053-9047-2.: volume 2.<br />
*Jackson, John David (1999). Classical electrodynamics (3rd ed.). New York, [NY.]: Wiley. ISBN 0-471-30932-X.<br />
*Serway, Raymond A.; Jewett, John W., Jr. (2004). Physics for scientists and engineers, with modern physics. Belmont, [CA.]: Thomson Brooks/Cole. ISBN 0-534-40846-X.<br />
<br />
<br />
[[Category:Which Category did you place this in?]]</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=16584Lorentz Force2015-12-05T23:14:06Z<p>Fsheikh6: /* Difficult */</p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
<br />
Solution: The Lorentz Force is 0 N.<br />
<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
<br />
Solution:<br />
<br />
Lorentz Force = Electric Force + Magnetic Force<br />
<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<br />
<br />
==Connectedness==<br />
#I am interested in hovering spacecrafts and the Lorentz Force can be useful for this topic. Assuming that the Earth's magnetic field is a dipole that rotates with the Earth, a dynamical model that characterizes the relative motion of Lorentz spacecraft is derived to analyze the required open-loop control acceleration for hovering. What must be understood first is the hovering configurations that could achieve propellantless hovering and the corresponding required specific charge of a Lorentz spacecraft.<br />
#As an aerospace engineering major, I can investigate the feasibility of using the induced Lorentz force as an auxiliary means of propulsion for spacecraft hovering. To achieve hovering, a spacecraft thrusts continuously to induce an equilibrium state at a desired position. Due to the constraints on the quantity of propellant onboard, long-time hovering around low-Earth orbits (LEO) is hardly achievable using traditional chemical propulsion. The Lorentz force, acting on an electrostatically charged spacecraft as it moves through a planetary magnetic field, provides a new propellantless method for orbital maneuvers.<br />
#In metallurgic industry the in-situ measurement of the flow rate of metal melts is still an unsolved problem. Due to the chemical aggressiveness of high-temperature melts, classical measurement techniques such as fly-wheel, Pitot tube, and hotwire probes cannot be used as these methods require mechanical contact with the melt. This is where the calibration of a non-contact electromagnetic flow rate measurement device called Lorentz force flow meter (LFF) comes in handy. To use this Lorentz force flow meter in industrial applications with a determined accuracy, a proper calibration of the flow meter has to be performed beforehand. To this aim, a two-step calibration method consisting of a dry and a wet technique must be performed.<br />
<br />
==History==<br />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<br />
<br />
===Further reading===<br />
<br />
*http://hyperphysics.phy-astr.gsu.edu/HBASE/hframe.html<br />
*http://www.ittc.ku.edu/~jstiles/220/handouts/section%203_6%20The%20Lorentz%20Force%20Law%20package.pdf<br />
<br />
===External links===<br />
<br />
*http://jnaudin.free.fr/lifters/lorentz/<br />
*https://nationalmaglab.org/education/magnet-academy/watch-play/interactive/lorentz-force<br />
<br />
==References==<br />
<br />
*Feynman, Richard Phillips; Leighton, Robert B.; Sands, Matthew L. (2006). The Feynman lectures on physics (3 vol.). Pearson / Addison-Wesley. ISBN 0-8053-9047-2.: volume 2.<br />
*Jackson, John David (1999). Classical electrodynamics (3rd ed.). New York, [NY.]: Wiley. ISBN 0-471-30932-X.<br />
*Serway, Raymond A.; Jewett, John W., Jr. (2004). Physics for scientists and engineers, with modern physics. Belmont, [CA.]: Thomson Brooks/Cole. ISBN 0-534-40846-X.<br />
<br />
<br />
[[Category:Which Category did you place this in?]]</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=16580Lorentz Force2015-12-05T23:13:50Z<p>Fsheikh6: /* Middling */</p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
<br />
Solution: The Lorentz Force is 0 N.<br />
<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
<br />
Solution:<br />
<br />
Lorentz Force = Electric Force + Magnetic Force<br />
<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<br />
<br />
==Connectedness==<br />
#I am interested in hovering spacecrafts and the Lorentz Force can be useful for this topic. Assuming that the Earth's magnetic field is a dipole that rotates with the Earth, a dynamical model that characterizes the relative motion of Lorentz spacecraft is derived to analyze the required open-loop control acceleration for hovering. What must be understood first is the hovering configurations that could achieve propellantless hovering and the corresponding required specific charge of a Lorentz spacecraft.<br />
#As an aerospace engineering major, I can investigate the feasibility of using the induced Lorentz force as an auxiliary means of propulsion for spacecraft hovering. To achieve hovering, a spacecraft thrusts continuously to induce an equilibrium state at a desired position. Due to the constraints on the quantity of propellant onboard, long-time hovering around low-Earth orbits (LEO) is hardly achievable using traditional chemical propulsion. The Lorentz force, acting on an electrostatically charged spacecraft as it moves through a planetary magnetic field, provides a new propellantless method for orbital maneuvers.<br />
#In metallurgic industry the in-situ measurement of the flow rate of metal melts is still an unsolved problem. Due to the chemical aggressiveness of high-temperature melts, classical measurement techniques such as fly-wheel, Pitot tube, and hotwire probes cannot be used as these methods require mechanical contact with the melt. This is where the calibration of a non-contact electromagnetic flow rate measurement device called Lorentz force flow meter (LFF) comes in handy. To use this Lorentz force flow meter in industrial applications with a determined accuracy, a proper calibration of the flow meter has to be performed beforehand. To this aim, a two-step calibration method consisting of a dry and a wet technique must be performed.<br />
<br />
==History==<br />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<br />
<br />
===Further reading===<br />
<br />
*http://hyperphysics.phy-astr.gsu.edu/HBASE/hframe.html<br />
*http://www.ittc.ku.edu/~jstiles/220/handouts/section%203_6%20The%20Lorentz%20Force%20Law%20package.pdf<br />
<br />
===External links===<br />
<br />
*http://jnaudin.free.fr/lifters/lorentz/<br />
*https://nationalmaglab.org/education/magnet-academy/watch-play/interactive/lorentz-force<br />
<br />
==References==<br />
<br />
*Feynman, Richard Phillips; Leighton, Robert B.; Sands, Matthew L. (2006). The Feynman lectures on physics (3 vol.). Pearson / Addison-Wesley. ISBN 0-8053-9047-2.: volume 2.<br />
*Jackson, John David (1999). Classical electrodynamics (3rd ed.). New York, [NY.]: Wiley. ISBN 0-471-30932-X.<br />
*Serway, Raymond A.; Jewett, John W., Jr. (2004). Physics for scientists and engineers, with modern physics. Belmont, [CA.]: Thomson Brooks/Cole. ISBN 0-534-40846-X.<br />
<br />
<br />
[[Category:Which Category did you place this in?]]</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=16577Lorentz Force2015-12-05T23:13:37Z<p>Fsheikh6: /* Simple */</p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
<br />
Solution: The Lorentz Force is 0 N.<br />
<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
Solution:<br />
Lorentz Force = Electric Force + Magnetic Force<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<br />
<br />
==Connectedness==<br />
#I am interested in hovering spacecrafts and the Lorentz Force can be useful for this topic. Assuming that the Earth's magnetic field is a dipole that rotates with the Earth, a dynamical model that characterizes the relative motion of Lorentz spacecraft is derived to analyze the required open-loop control acceleration for hovering. What must be understood first is the hovering configurations that could achieve propellantless hovering and the corresponding required specific charge of a Lorentz spacecraft.<br />
#As an aerospace engineering major, I can investigate the feasibility of using the induced Lorentz force as an auxiliary means of propulsion for spacecraft hovering. To achieve hovering, a spacecraft thrusts continuously to induce an equilibrium state at a desired position. Due to the constraints on the quantity of propellant onboard, long-time hovering around low-Earth orbits (LEO) is hardly achievable using traditional chemical propulsion. The Lorentz force, acting on an electrostatically charged spacecraft as it moves through a planetary magnetic field, provides a new propellantless method for orbital maneuvers.<br />
#In metallurgic industry the in-situ measurement of the flow rate of metal melts is still an unsolved problem. Due to the chemical aggressiveness of high-temperature melts, classical measurement techniques such as fly-wheel, Pitot tube, and hotwire probes cannot be used as these methods require mechanical contact with the melt. This is where the calibration of a non-contact electromagnetic flow rate measurement device called Lorentz force flow meter (LFF) comes in handy. To use this Lorentz force flow meter in industrial applications with a determined accuracy, a proper calibration of the flow meter has to be performed beforehand. To this aim, a two-step calibration method consisting of a dry and a wet technique must be performed.<br />
<br />
==History==<br />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<br />
<br />
===Further reading===<br />
<br />
*http://hyperphysics.phy-astr.gsu.edu/HBASE/hframe.html<br />
*http://www.ittc.ku.edu/~jstiles/220/handouts/section%203_6%20The%20Lorentz%20Force%20Law%20package.pdf<br />
<br />
===External links===<br />
<br />
*http://jnaudin.free.fr/lifters/lorentz/<br />
*https://nationalmaglab.org/education/magnet-academy/watch-play/interactive/lorentz-force<br />
<br />
==References==<br />
<br />
*Feynman, Richard Phillips; Leighton, Robert B.; Sands, Matthew L. (2006). The Feynman lectures on physics (3 vol.). Pearson / Addison-Wesley. ISBN 0-8053-9047-2.: volume 2.<br />
*Jackson, John David (1999). Classical electrodynamics (3rd ed.). New York, [NY.]: Wiley. ISBN 0-471-30932-X.<br />
*Serway, Raymond A.; Jewett, John W., Jr. (2004). Physics for scientists and engineers, with modern physics. Belmont, [CA.]: Thomson Brooks/Cole. ISBN 0-534-40846-X.<br />
<br />
<br />
[[Category:Which Category did you place this in?]]</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=15601Lorentz Force2015-12-05T21:10:46Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
Solution: The Lorentz Force is 0 N.<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
Solution:<br />
Lorentz Force = Electric Force + Magnetic Force<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<br />
<br />
==Connectedness==<br />
#I am interested in hovering spacecrafts and the Lorentz Force can be useful for this topic. Assuming that the Earth's magnetic field is a dipole that rotates with the Earth, a dynamical model that characterizes the relative motion of Lorentz spacecraft is derived to analyze the required open-loop control acceleration for hovering. What must be understood first is the hovering configurations that could achieve propellantless hovering and the corresponding required specific charge of a Lorentz spacecraft.<br />
#As an aerospace engineering major, I can investigate the feasibility of using the induced Lorentz force as an auxiliary means of propulsion for spacecraft hovering. To achieve hovering, a spacecraft thrusts continuously to induce an equilibrium state at a desired position. Due to the constraints on the quantity of propellant onboard, long-time hovering around low-Earth orbits (LEO) is hardly achievable using traditional chemical propulsion. The Lorentz force, acting on an electrostatically charged spacecraft as it moves through a planetary magnetic field, provides a new propellantless method for orbital maneuvers.<br />
#In metallurgic industry the in-situ measurement of the flow rate of metal melts is still an unsolved problem. Due to the chemical aggressiveness of high-temperature melts, classical measurement techniques such as fly-wheel, Pitot tube, and hotwire probes cannot be used as these methods require mechanical contact with the melt. This is where the calibration of a non-contact electromagnetic flow rate measurement device called Lorentz force flow meter (LFF) comes in handy. To use this Lorentz force flow meter in industrial applications with a determined accuracy, a proper calibration of the flow meter has to be performed beforehand. To this aim, a two-step calibration method consisting of a dry and a wet technique must be performed.<br />
<br />
==History==<br />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<br />
<br />
===Further reading===<br />
<br />
*http://hyperphysics.phy-astr.gsu.edu/HBASE/hframe.html<br />
*http://www.ittc.ku.edu/~jstiles/220/handouts/section%203_6%20The%20Lorentz%20Force%20Law%20package.pdf<br />
<br />
===External links===<br />
<br />
*http://jnaudin.free.fr/lifters/lorentz/<br />
*https://nationalmaglab.org/education/magnet-academy/watch-play/interactive/lorentz-force<br />
<br />
==References==<br />
<br />
*Feynman, Richard Phillips; Leighton, Robert B.; Sands, Matthew L. (2006). The Feynman lectures on physics (3 vol.). Pearson / Addison-Wesley. ISBN 0-8053-9047-2.: volume 2.<br />
*Jackson, John David (1999). Classical electrodynamics (3rd ed.). New York, [NY.]: Wiley. ISBN 0-471-30932-X.<br />
*Serway, Raymond A.; Jewett, John W., Jr. (2004). Physics for scientists and engineers, with modern physics. Belmont, [CA.]: Thomson Brooks/Cole. ISBN 0-534-40846-X.<br />
<br />
<br />
[[Category:Which Category did you place this in?]]</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=15593Lorentz Force2015-12-05T21:10:05Z<p>Fsheikh6: /* Connectedness */</p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
Solution: The Lorentz Force is 0 N.<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
Solution:<br />
Lorentz Force = Electric Force + Magnetic Force<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<br />
<br />
==Connectedness==<br />
#I am interested in hovering spacecrafts and the Lorentz Force can be useful for this topic. Assuming that the Earth's magnetic field is a dipole that rotates with the Earth, a dynamical model that characterizes the relative motion of Lorentz spacecraft is derived to analyze the required open-loop control acceleration for hovering. What must be understood first is the hovering configurations that could achieve propellantless hovering and the corresponding required specific charge of a Lorentz spacecraft.<br />
#As an aerospace engineering major, I can investigate the feasibility of using the induced Lorentz force as an auxiliary means of propulsion for spacecraft hovering. To achieve hovering, a spacecraft thrusts continuously to induce an equilibrium state at a desired position. Due to the constraints on the quantity of propellant onboard, long-time hovering around low-Earth orbits (LEO) is hardly achievable using traditional chemical propulsion. The Lorentz force, acting on an electrostatically charged spacecraft as it moves through a planetary magnetic field, provides a new propellantless method for orbital maneuvers.<br />
#In metallurgic industry the in-situ measurement of the flow rate of metal melts is still an unsolved problem. Due to the chemical aggressiveness of high-temperature melts, classical measurement techniques such as fly-wheel, Pitot tube, and hotwire probes cannot be used as these methods require mechanical contact with the melt. This is where the calibration of a non-contact electromagnetic flow rate measurement device called Lorentz force flow meter (LFF) comes in handy. To use this Lorentz force flow meter in industrial applications with a determined accuracy, a proper calibration of the flow meter has to be performed beforehand. To this aim, a two-step calibration method consisting of a dry and a wet technique must be performed.<br />
<br />
==History==<br />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<br />
<br />
===Further reading===<br />
<br />
*http://hyperphysics.phy-astr.gsu.edu/HBASE/hframe.html<br />
*http://www.ittc.ku.edu/~jstiles/220/handouts/section%203_6%20The%20Lorentz%20Force%20Law%20package.pdf<br />
<br />
===External links===<br />
<br />
*http://jnaudin.free.fr/lifters/lorentz/<br />
*https://nationalmaglab.org/education/magnet-academy/watch-play/interactive/lorentz-force<br />
<br />
==References==<br />
<br />
*Feynman, Richard Phillips; Leighton, Robert B.; Sands, Matthew L. (2006). The Feynman lectures on physics (3 vol.). Pearson / Addison-Wesley. ISBN 0-8053-9047-2.: volume 2.<br />
*Jackson, John David (1999). Classical electrodynamics (3rd ed.). New York, [NY.]: Wiley. ISBN 0-471-30932-X.<br />
*Serway, Raymond A.; Jewett, John W., Jr. (2004). Physics for scientists and engineers, with modern physics. Belmont, [CA.]: Thomson Brooks/Cole. ISBN 0-534-40846-X.<br />
<br />
<br />
[[Category:Which Category did you place this in?]]</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=15589Lorentz Force2015-12-05T21:09:50Z<p>Fsheikh6: /* Connectedness */</p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
Solution: The Lorentz Force is 0 N.<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
Solution:<br />
Lorentz Force = Electric Force + Magnetic Force<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<br />
<br />
==Connectedness==<br />
#I am interested in hovering spacecrafts and the Lorentz Force can be useful for this topic. Assuming that the Earth's magnetic field is a dipole that rotates with the Earth, a dynamical model that characterizes the relative motion of Lorentz spacecraft is derived to analyze the required open-loop control acceleration for hovering. What must be understood first is the hovering configurations that could achieve propellantless hovering and the corresponding required specific charge of a Lorentz spacecraft.<br />
#As an aerospace engineering major, I can investigate the feasibility of using the induced Lorentz force as an auxiliary means of propulsion for spacecraft hovering. To achieve hovering, a spacecraft thrusts continuously to induce an equilibrium state at a desired position. Due to the constraints on the quantity of propellant onboard, long-time hovering around low-Earth orbits (LEO) is hardly achievable using traditional chemical propulsion. The Lorentz force, acting on an electrostatically charged spacecraft as it moves through a planetary magnetic field, provides a new propellantless method for orbital maneuvers.<br />
#In metallurgic industry the in-situ measurement of the flow rate of metal melts is still an unsolved problem. Due to the chemical aggressiveness of high-temperature melts, classical measurement techniques such as fly-wheel, Pitot tube, and hotwire probes cannot be used as these methods require mechanical contact with the melt. This is where the calibration of a non-contact electromagnetic flow rate measurement device called Lorentz force flow meter (LFF) comes in handy. To use this Lorentz force flow meter in industrial applications with a determined accuracy, a proper calibration of the flow<br />
meter has to be performed beforehand. To this aim, a two-step calibration method consisting of a dry and a wet technique must be performed.<br />
<br />
==History==<br />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<br />
<br />
===Further reading===<br />
<br />
*http://hyperphysics.phy-astr.gsu.edu/HBASE/hframe.html<br />
*http://www.ittc.ku.edu/~jstiles/220/handouts/section%203_6%20The%20Lorentz%20Force%20Law%20package.pdf<br />
<br />
===External links===<br />
<br />
*http://jnaudin.free.fr/lifters/lorentz/<br />
*https://nationalmaglab.org/education/magnet-academy/watch-play/interactive/lorentz-force<br />
<br />
==References==<br />
<br />
*Feynman, Richard Phillips; Leighton, Robert B.; Sands, Matthew L. (2006). The Feynman lectures on physics (3 vol.). Pearson / Addison-Wesley. ISBN 0-8053-9047-2.: volume 2.<br />
*Jackson, John David (1999). Classical electrodynamics (3rd ed.). New York, [NY.]: Wiley. ISBN 0-471-30932-X.<br />
*Serway, Raymond A.; Jewett, John W., Jr. (2004). Physics for scientists and engineers, with modern physics. Belmont, [CA.]: Thomson Brooks/Cole. ISBN 0-534-40846-X.<br />
<br />
<br />
[[Category:Which Category did you place this in?]]</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=15468Lorentz Force2015-12-05T20:58:33Z<p>Fsheikh6: /* Further reading */</p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
Solution: The Lorentz Force is 0 N.<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
Solution:<br />
Lorentz Force = Electric Force + Magnetic Force<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<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 />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<br />
<br />
===Further reading===<br />
<br />
*http://hyperphysics.phy-astr.gsu.edu/HBASE/hframe.html<br />
*http://www.ittc.ku.edu/~jstiles/220/handouts/section%203_6%20The%20Lorentz%20Force%20Law%20package.pdf<br />
<br />
===External links===<br />
<br />
*http://jnaudin.free.fr/lifters/lorentz/<br />
*https://nationalmaglab.org/education/magnet-academy/watch-play/interactive/lorentz-force<br />
<br />
==References==<br />
<br />
*Feynman, Richard Phillips; Leighton, Robert B.; Sands, Matthew L. (2006). The Feynman lectures on physics (3 vol.). Pearson / Addison-Wesley. ISBN 0-8053-9047-2.: volume 2.<br />
*Jackson, John David (1999). Classical electrodynamics (3rd ed.). New York, [NY.]: Wiley. ISBN 0-471-30932-X.<br />
*Serway, Raymond A.; Jewett, John W., Jr. (2004). Physics for scientists and engineers, with modern physics. Belmont, [CA.]: Thomson Brooks/Cole. ISBN 0-534-40846-X.<br />
<br />
<br />
[[Category:Which Category did you place this in?]]</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=15447Lorentz Force2015-12-05T20:56:17Z<p>Fsheikh6: /* A Computational Model */</p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
Solution: The Lorentz Force is 0 N.<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
Solution:<br />
Lorentz Force = Electric Force + Magnetic Force<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<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 />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
*http://jnaudin.free.fr/lifters/lorentz/<br />
*https://nationalmaglab.org/education/magnet-academy/watch-play/interactive/lorentz-force<br />
<br />
==References==<br />
<br />
*Feynman, Richard Phillips; Leighton, Robert B.; Sands, Matthew L. (2006). The Feynman lectures on physics (3 vol.). Pearson / Addison-Wesley. ISBN 0-8053-9047-2.: volume 2.<br />
*Jackson, John David (1999). Classical electrodynamics (3rd ed.). New York, [NY.]: Wiley. ISBN 0-471-30932-X.<br />
*Serway, Raymond A.; Jewett, John W., Jr. (2004). Physics for scientists and engineers, with modern physics. Belmont, [CA.]: Thomson Brooks/Cole. ISBN 0-534-40846-X.<br />
<br />
<br />
[[Category:Which Category did you place this in?]]</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=15444Lorentz Force2015-12-05T20:56:00Z<p>Fsheikh6: /* External links */</p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
The following link provides a good model of the Lorentz Force as well: [[http://jnaudin.free.fr/lifters/lorentz/]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
Solution: The Lorentz Force is 0 N.<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
Solution:<br />
Lorentz Force = Electric Force + Magnetic Force<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<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 />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<br />
<br />
===Further reading===<br />
<br />
Books, Articles or other print media on this topic<br />
<br />
===External links===<br />
<br />
*http://jnaudin.free.fr/lifters/lorentz/<br />
*https://nationalmaglab.org/education/magnet-academy/watch-play/interactive/lorentz-force<br />
<br />
==References==<br />
<br />
*Feynman, Richard Phillips; Leighton, Robert B.; Sands, Matthew L. (2006). The Feynman lectures on physics (3 vol.). Pearson / Addison-Wesley. ISBN 0-8053-9047-2.: volume 2.<br />
*Jackson, John David (1999). Classical electrodynamics (3rd ed.). New York, [NY.]: Wiley. ISBN 0-471-30932-X.<br />
*Serway, Raymond A.; Jewett, John W., Jr. (2004). Physics for scientists and engineers, with modern physics. Belmont, [CA.]: Thomson Brooks/Cole. ISBN 0-534-40846-X.<br />
<br />
<br />
[[Category:Which Category did you place this in?]]</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=15439Lorentz Force2015-12-05T20:55:08Z<p>Fsheikh6: /* References */</p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
The following link provides a good model of the Lorentz Force as well: [[http://jnaudin.free.fr/lifters/lorentz/]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
Solution: The Lorentz Force is 0 N.<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
Solution:<br />
Lorentz Force = Electric Force + Magnetic Force<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<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 />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<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 />
*Feynman, Richard Phillips; Leighton, Robert B.; Sands, Matthew L. (2006). The Feynman lectures on physics (3 vol.). Pearson / Addison-Wesley. ISBN 0-8053-9047-2.: volume 2.<br />
*Jackson, John David (1999). Classical electrodynamics (3rd ed.). New York, [NY.]: Wiley. ISBN 0-471-30932-X.<br />
*Serway, Raymond A.; Jewett, John W., Jr. (2004). Physics for scientists and engineers, with modern physics. Belmont, [CA.]: Thomson Brooks/Cole. ISBN 0-534-40846-X.<br />
<br />
<br />
[[Category:Which Category did you place this in?]]</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=15430Lorentz Force2015-12-05T20:54:03Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
The following link provides a good model of the Lorentz Force as well: [[http://jnaudin.free.fr/lifters/lorentz/]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
Solution: The Lorentz Force is 0 N.<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
Solution:<br />
Lorentz Force = Electric Force + Magnetic Force<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<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 />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<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 />
*{{Cite book |first1 = Richard Phillips |last1 = Feynman |author-link = Richard Feynman |first2 = Robert B. |last2 = Leighton |first3 = Matthew L. |last3 = Sands |title = The Feynman lectures on physics (3 vol.) |publisher = Pearson / Addison-Wesley | year= 2006 |isbn = 0-8053-9047-2 |postscript = <!--None-->}}: volume 2.<br />
<br />
*{{Cite book |first = David J. |last = Griffiths |title = Introduction to electrodynamics |edition = 3rd |place = Upper Saddle River, [NJ.] |publisher = Prentice-Hall |year = 1999 |isbn = 0-13-805326-X |postscript = <!--None-->}}<br />
<br />
*{{Cite book |first = John David |last = Jackson |title = Classical electrodynamics |edition = 3rd<br />
|location = New York, [NY.] |publisher = Wiley | year = 1999 |isbn = 0-471-30932-X |postscript = <!--None-->}}<br />
<br />
*{{Cite book |first1 = Raymond A. |last1 = Serway |first2 = John W., Jr. |last2 = Jewett |title = Physics for scientists and engineers, with modern physics |place = Belmont, [CA.] |publisher = Thomson Brooks/Cole |year = 2004 |isbn = 0-534-40846-X |postscript = <!--None-->}}<br />
<br />
*{{Cite book |first = Mark A. |last = Srednicki |title= Quantum field theory |url=http://books.google.com/?id=5OepxIG42B4C&pg=PA315&dq=isbn=9780521864497 |place = Cambridge, [England] ; New York [NY.] |publisher = Cambridge University Press | year=2007 |isbn = 978-0-521-86449-7 |postscript = <!--None-->}}<br />
<br />
<br />
[[Category:Which Category did you place this in?]]</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=15420Lorentz Force2015-12-05T20:52:28Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
The following link provides a good model of the Lorentz Force as well: [[http://jnaudin.free.fr/lifters/lorentz/]]<br />
<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
Solution: The Lorentz Force is 0 N.<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
Solution:<br />
Lorentz Force = Electric Force + Magnetic Force<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<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 />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=15407Lorentz Force2015-12-05T20:51:14Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
The following link provides a good model of the Lorentz Force as well: [[http://jnaudin.free.fr/lifters/lorentz/]]<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
Solution: The Lorentz Force is 0 N.<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
Solution:<br />
Lorentz Force = Electric Force + Magnetic Force<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<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 />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=15401Lorentz Force2015-12-05T20:50:45Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
The following link provides a good model of the Lorentz Force as well: [[http://jnaudin.free.fr/lifters/lorentz/]]<br />
==Examples==<br />
<br />
===Simple===<br />
If the Electric Force points in the +x direction and the Magnetic Force points in the –x direction, what direction the Lorentz Force point in?<br />
Solution: The Lorentz Force is 0 N.<br />
===Middling===<br />
The electric force on a certain particle is <500,-200,300> N and the magnetic force is <-200,700,400> N. Find the Lorentz Force.<br />
Solution:<br />
Lorentz Force = Electric Force + Magnetic Force<br />
Lorentz Force = <500,-200,300> + <-200,700,400> = <300,500,700> N<br />
===Difficult===<br />
The speed of the proton is 5e3 m/s. The magnitude of the Electric Field on the proton is 8e-6 N/C and the magnitude of the magnetic field at that same proton is 4e-9 T. Find the Lorentz Force on this proton.<br />
Force Electric = qE = (1.6e-19)*(8e-6) = 1.28e-24 N<br />
Force Magnetic = q*B*v = (1.6e-19)*(4e-9)*(5e3) = 3.2e-24 N<br />
Force Lorentz = Force Electric + Force Magnetic = 4.48e-24 N<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 />
Early attempts to quantitatively describe the electromagnetic force were made in the mid-18th century. It was proposed that the force on magnetic poles, by Johann Tobias Mayer and others in 1760, and electrically charged objects, by Henry Cavendish in 1762, obeyed an inverse-square law. However, in both cases the experimental proof was neither complete nor conclusive. It was not until 1784 when Charles-Augustin de Coulomb, using a torsion balance, was able to definitively show through experiment that this was true. Soon after the discovery in 1820 by H. C. Ørsted that a magnetic needle is acted on by a voltaic current, André-Marie Ampère that same year was able to devise through experimentation the formula for the angular dependence of the force between two current elements. In all these descriptions, the force was always given in terms of the properties of the objects involved and the distances between them rather than in terms of electric and magnetic fields.<br />
The modern concept of electric and magnetic fields first arose in the theories of Michael Faraday, particularly his idea of lines of force, later to be given full mathematical description by Lord Kelvin and James Clerk Maxwell. From a modern perspective it is possible to identify in Maxwell's 1865 formulation of his field equations a form of the Lorentz force equation in relation to electric currents, however, in the time of Maxwell it was not evident how his equations related to the forces on moving charged objects. J. J. Thomson was the first to attempt to derive from Maxwell's field equations the electromagnetic forces on a moving charged object in terms of the object's properties and external fields. Interested in determining the electromagnetic behavior of the charged particles in cathode rays, Thomson published a paper in 1881 wherein he gave the force on the particles due to an external magnetic field as F = (q/2)*v X B.<br />
== See also ==<br />
The Hall Effect explores this concept more in depth because it deals with the Electric Force and Magnetic Force being equal. Usually, these problems require you to set them equal to each other and solve for B,v, or E.<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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=13716Lorentz Force2015-12-05T06:24:39Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<br />
<br />
[[http://jnaudin.free.fr/lifters/lorentz/lorentz2.gif]]<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 />
<br />
An electron is 4e-9 m away from another electron. The magnetic field in the region is 4e3 T and the velocity of the electron is 40000 m/s. What is the Lorentz force on the electron. <br />
<br />
<br />
Electric Force = (9e9)((1.6e-19*1.6e-19)/((4e-9)^2)) = 1.44e-11 N<br />
Magnetic Force = (1.6e-19)*(4e3*40000) = 2.56 e-11 N<br />
Lorentz Force = 2.56e-11 +1.44e-11 = 4e-11 N<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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=13525Lorentz Force2015-12-05T04:55:42Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<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 />
<br />
An electron is 4e-9 m away from another electron. The magnetic field in the region is 4e3 T and the velocity of the electron is 40000 m/s. What is the Lorentz force on the electron. <br />
<br />
<br />
Electric Force = (9e9)((1.6e-19*1.6e-19)/((4e-9)^2)) = 1.44e-11 N<br />
Magnetic Force = (1.6e-19)*(4e3*40000) = 2.56 e-11 N<br />
Lorentz Force = 2.56e-11 +1.44e-11 = 4e-11 N<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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=13520Lorentz Force2015-12-05T04:52:30Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Lorentz Force is the combination of the Electric and Magnetic Forces. Basically the Lorentz Force is applied as a net force on a particle or number of particles when both electric and magnetic fields are present. <br />
<br />
===A Mathematical Model===<br />
<br />
<math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.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 />
The magnitude of the Electric Force at a certain point in space is 3e-9 and the magnitude of the Magnetic Force at that same point is -7e-9. What is the Lorentz Force at this point in space? <br />
<br />
Force Lorenz = 3e-9 - 7e-9 = -4e-9 Newtons. <br />
<br />
===Middling===<br />
<br />
Find the Lorentz Force on an electron given that the magnitude of the Electric Field at a point in space is 4e-6 N/C and the magnitude of the magnetic field at that same point is 8e-7 T and the speed of the electron is 6000 m/s. <br />
<br />
Force Electric = qE =(-1.6e-19)*(4e-6) = -6.4e-25 N <br />
Force Magnetic = q*B*v =(-1.6e-19)*(8e-7)(6000) = -7.68e-22 N <br />
Force Lorentz = Force Electric + Force Magnetic = -7.69 e-22 N <br />
<br />
<br />
===Difficult===<br />
<br />
<br />
An electron is 4e-9 m away from another electron. The magnetic field in the region is 4e3 T and the velocity of the electron is 40000 m/s. What is the Lorentz force on the electron. <br />
<br />
<br />
Electric Force = (9e9)((1.6e-19*1.6e-19)/((4e-9)^2)) = 1.44e-11 N<br />
Magnetic Force = (1.6e-19)*(4e3*40000) = 2.56 e-11 N<br />
Lorentz Force = 2.56e-11 +1.44e-11 = 4e-11 N<br />
<br />
==Connectedness==<br />
#This is connected to physics 2 because it combines the electric and magnetic forces. <br />
#This applies to my major mostly because it is related to electric forces.<br />
<br />
==History==<br />
<br />
J.J. Thomson first found the correct formula. However, because of some errors and an imperfect description of the displacement current he was not credited with the discovery of this force. Oliver Heaviside fixed Thompson’s mistakes and found the correct form of the magnetic force on a moving charged object. Finally, in 1892, Hendrik Lorentz found the modern form of the formula for the electromagnetic force.<br />
<br />
== See also ==<br />
<br />
Electric Field and Force. Magnetic Field and Force. <br />
<br />
===Further reading===<br />
<br />
Matter and Interactions Volume 2. <br />
<br />
===External links===<br />
<br />
Link for picture: https://upload.wikimedia.org/wikipedia/commons/thumb/7/7c/Lorentz_force_particle.svg/2000px-Lorentz_force_particle.svg.png<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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=13406Lorentz Force2015-12-05T04:28:33Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<br />
<br />
===A Computational Model===<br />
[[File:Lorentz Force.png]]<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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=13390Lorentz Force2015-12-05T04:23:19Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=3804Lorentz Force2015-11-29T22:55:43Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> where '''qE''' is the electric force and '''qv x B''' is the magnetic force.<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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=3802Lorentz Force2015-11-29T22:54:07Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} ⨯ \vec{B}</math> 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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=3799Lorentz Force2015-11-29T22:53:35Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} (U+2A2F) \vec{B}</math> 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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=3797Lorentz Force2015-11-29T22:53:02Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} x \vec{B}</math> 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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=3795Lorentz Force2015-11-29T22:52:41Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} {&#10799} \vec{B}</math> 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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=3793Lorentz Force2015-11-29T22:52:19Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} &#10799 \vec{B}</math> 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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=3787Lorentz Force2015-11-29T22:49:51Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces is useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math> \vec{F}_{Lorentz} = q\vec{E} + q\vec{v} X \vec{B}</math> 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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=3775Lorentz Force2015-11-29T22:46:22Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
The Electric and Magnetic Forces can be combined into a single force called the "Lorentz Force." This combination of the two forces in useful in applications where a magnetic field and electric field act on a specific particle or series of particles.<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> 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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=397Lorentz Force2015-11-02T02:20:54Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
==The Main Idea==<br />
<br />
(WORK IN PROGRESS - TEMPLATE ONLY FOR NOW)<br />
<br />
State, in your own words, the main idea for this topic<br />
<br />
===A Mathematical Model===<br />
<br />
What are the mathematical equations that allow us to model this topic. For example <math>{\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net}</math> 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>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=396Lorentz Force2015-11-02T02:14:22Z<p>Fsheikh6: Replaced content with "Claimed by Firas Sheikh--Fsheikh6 (talk) 21:09, 1 November 2015 (EST)"</p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=395Lorentz Force2015-11-02T02:14:00Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)<br />
<br />
Short Description of Topic<br />
<br />
Contents [hide] <br />
1 The Main Idea<br />
1.1 A Mathematical Model<br />
1.2 A Computational Model<br />
2 Examples<br />
2.1 Simple<br />
2.2 Middling<br />
2.3 Difficult<br />
3 Connectedness<br />
4 History<br />
5 See also<br />
5.1 Further reading<br />
5.2 External links<br />
6 References<br />
The Main Idea[edit]<br />
State, in your own words, the main idea for this topic<br />
<br />
A Mathematical Model[edit]<br />
What are the mathematical equations that allow us to model this topic. For example dp⃗ dtsystem=F⃗ net where p is the momentum of the system and F is the net force from the surroundings.<br />
<br />
A Computational Model[edit]<br />
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript<br />
<br />
Examples[edit]<br />
Be sure to show all steps in your solution and include diagrams whenever possible<br />
<br />
Simple[edit]<br />
Middling[edit]<br />
Difficult[edit]<br />
Connectedness[edit]<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 />
History[edit]<br />
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.<br />
<br />
See also[edit]<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[edit]<br />
Books, Articles or other print media on this topic<br />
<br />
External links[edit]<br />
Internet resources on this topic<br />
<br />
References[edit]<br />
This section contains the the references you used while writing this page<br />
<br />
Category: Which Category did you place this in?</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=394Lorentz Force2015-11-02T02:09:01Z<p>Fsheikh6: </p>
<hr />
<div>Claimed by Firas Sheikh--[[User:Fsheikh6|Fsheikh6]] ([[User talk:Fsheikh6|talk]]) 21:09, 1 November 2015 (EST)</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Lorentz_Force&diff=393Lorentz Force2015-11-02T02:07:34Z<p>Fsheikh6: Lorentz Force</p>
<hr />
<div>Claimed by Firas Sheikh</div>Fsheikh6http://www.physicsbook.gatech.edu/index.php?title=Main_Page&diff=392Main Page2015-11-02T02:07:00Z<p>Fsheikh6: /* Fields */</p>
<hr />
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<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 />
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== Organizing Catagories ==<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 />
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===Interactions===<br />
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*[[Fundamental Interactions]] <br />
*[[System & Surroundings]] <br />
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===Theory===<br />
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*[[Einstein's Theory of Relativity]]<br />
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===Properties of Matter===<br />
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*[[Mass]]<br />
*[[Charge]]<br />
*[[Spin]]<br />
*[[SI Units]]<br />
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===Contact Interactions===<br />
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* [[Young's Modulus]]<br />
* [[Friction]]<br />
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===Momentum===<br />
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* Vectors<br />
* Kinematics<br />
* Predicting Change in one dimension<br />
* [[Predicting Change in multiple dimensions]]<br />
* [[Momentum Principle]]<br />
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===Angular Momentum===<br />
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* [[The Moments of Inertia]]<br />
* Rotation<br />
* [[Torque]]<br />
* Predicting a Change in Rotation<br />
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===Energy===<br />
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*Predicting Change<br />
*[[Rest Mass Energy]]<br />
*[[Kinetic Energy]]<br />
*[[Potential Energy]]<br />
*[[Work]]<br />
*[[Thermal Energy]]<br />
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===Fields===<br />
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* [[Electric Field]] of a<br />
** [[Point Charge]]<br />
** [[Electric Dipole]]<br />
** [[Charged Rod]]<br />
** [[Charged Disk]]<br />
** [[Charged Spherical Shell]]<br />
*[[Electric Potential]] <br />
**[[Potential Difference in a Uniform Field]]<br />
*[[Magnetic Field]]<br />
**[[Direction of Magnetic Field]]<br />
**[[Bar Magnet]]<br />
**[[Magnetic Force]]<br />
**[[Hall Effect]]<br />
**[[Lorentz Force]]<br />
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===Simple Circuits===<br />
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*[[Components]]<br />
*[[Steady State]]<br />
*[[Non Steady State]]<br />
*[[Node Rule]]<br />
*[[Loop Rule]]<br />
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===Maxwell's Equations===<br />
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*[[Gauss's Flux Theorem]]<br />
**[[Electric Fields]]<br />
**[[Magnetic Fields]]<br />
*Faraday's Law <br />
*Ampere-Maxwell Law<br />
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===Radiation===<br />
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== 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 />
* An overview of [[VPython]]</div>Fsheikh6