Lorentz Force

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

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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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