A particle of mass M and moving with velocity v describes a circular path of radius R when subjected to a uniform transverse magnetic field of induction B . the work done by the field when the particl

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A particle of mass M and moving with velocity v describes a circular path of radius R when subjected to a uniform transverse magnetic field of induction B . the work done by the field when the particle completes one full circle is

TestHub · Accepted Answer

When particle describes circular path in a magnetic field, its velocity is always perpendicular to the magnetic force.

Power, $P = F.V = FV cos (θ)$
Here $θ = 90$
P = 0
But $P = \frac{W}{t}$
$\Rightarrow W = P.t$
Hence, work done
W = 0 (Everywhere)

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