First slide

Force on a charged particle moving in a magnetic field

Question

A beam of electrons passes undeflected through mutually perpendicular electric and magnetic fields. If the electric field is switched off, and the same magnetic field is maintained, the electrons move

Easy

A

in an elliptical orbit
B

in a circular orbit
C

along a parabolic path
D

along a straight line

Solution

If beam of electrons passes undeflected, then force due to electric field should be balanced with force due to magnetic fields F_e = F_m. But if electric field becomes zero, then only force due to magnetic field exists. Under this force, the charge moves along a circle.

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