Lorentz Force: Difference between revisions
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==The Main Idea== | ==The Main Idea== | ||
The Electric and Magnetic Forces | 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. | ||
===A Mathematical Model=== | ===A Mathematical Model=== | ||
<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. | |||
===A Computational Model=== | ===A Computational Model=== | ||
[[File:Lorentz Force.png]] | [[File:Lorentz Force.png]] | ||
==Examples== | ==Examples== | ||
Revision as of 23:47, 4 December 2015
Claimed by Firas Sheikh--Fsheikh6 (talk) 21:09, 1 November 2015 (EST)
The Main Idea
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.
A Mathematical Model
[math]\displaystyle{ \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.
A Computational Model
Examples
Be sure to show all steps in your solution and include diagrams whenever possible
Simple
Middling
Difficult
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.
Electric Force = (9e9)((1.6e-19*1.6e-19)/((4e-9)^2)) = 1.44e-11 N
Magnetic Force = (1.6e-19)*(4e3*40000) = 2.56 e-11 N
Lorentz Force = 2.56e-11 +1.44e-11 = 4e-11 N
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