First slide

Force on a charged particle moving in a magnetic field

Question

An electron with a speed u along the positive x-axis at y = 0 enters a region of uniform magnetic field B= -B_o k which exists to the right of y-axis. [Fig.] The electron exists from the region after some
time with the speed v at ordinate y, then

Easy

A

v > u, y < 0
B

v = u, y > 0
C

v > u, y > 0
D

v = u,y < 0

Solution

The energy of a charged particle moving in magnetic field remains constant because the magnetic field does not do any work. Therefore, kinetic energy is constant, i.e.
U = V
Lorentz force, F= q(v x B)
The force on electron will act along - ve y-axis initially .The electron will undergo circular motion in clockwise direction and emerge out the field. So, y < 0.

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