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Circular Kinematics

When a charge...

Question

When a charged particle moving with velocity $\to V$ is subjected to magnetic field $\to B$ the force acting on it is non-zero. Would the particle gain any energy?

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Solution

(i) This is because the charge particle moves on a circular path.
(ii) $\to F = q (\to v \times \to B)$
and power dissipated $P = \to F . \to v$
$= q (\to v \times \to B) . \to v$
The particle does not gain any energy.

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