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October 9th, 2015, 02:00 AM   #1
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Electricity Problem

How to calculate magnitude of an electrical field given magnetic field strength, particle charge and particle speed?
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October 9th, 2015, 02:14 AM   #2
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Simple answer: you can't

More useful answer: The information you gave can be used to calculate the magnitude of the magnetic force on the charged particle.

$\displaystyle F_B = Bqv$

If you have a system where the electric force on a charged particle is balanced with the magnetic force on the same charged particle, then

$\displaystyle F_B = Bqv$
$\displaystyle F_E = Eq$


$\displaystyle F_E = F_B$
$\displaystyle Eq = Bqv$
$\displaystyle E = Bv$

However, don't just blindly use the formula above. Think of the forces on the system and what is happening. Furthermore, the equation above only gives the magnitude of the electric field, not it's direction (electric and magnetic fields are vectors).
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