First slide

Force on a charged particle moving in a magnetic field

Question

A particle of charge q and mass m is moving along the x-axis with a velocity v and enters a region of electric field E and magnetic field B as shown in figures below. For which figure the net force on the charge may be zero?

Moderate

A
B
C
D

Solution

The charge will not experience any force if $|{\vec{F}}_{e}| = |{\vec{F}}_{m}| .$ This condition is satisfied in option (b) only as $\vec{v}, \vec{E} and \vec{B}$ are mutually perpendicularly to each other.

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