First slide

Magnetic field due to a moving charge

Question

Charge q is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency f Hz. The magnitude of magnetic induction at the centre of the ring is :

Moderate

A

$\frac{μ_{0} q}{2 π f R}$
B

$\frac{μ_{0} q f}{2 π R}$
C

$\frac{μ_{0} q f}{2 R}$
D

$\frac{μ_{0} q}{2 f R}$

Solution

$B = \frac{μ_{0} i}{2 r} = \frac{μ_{0}}{2 r} \frac{q}{T} = \frac{μ_{0} q f}{2 r}$

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