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Q.

A thin ring of radius R metre has charge q coulomb uniformly spread on it. The ring rotates
about its axis with a constant frequency of f revolutions/s. The value of magnetic induction in
Wb at the centre of the ring is

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a

$\frac{μ_{0} qf}{2 π R}$

b

$\frac{μ_{0} q}{2 π fR}$

c

$\frac{μ_{0} q}{2 fR}$

d

$\frac{μ_{0} qf}{2 R}$

answer is D.

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Detailed Solution

The magnetic field at the centre of the circle

$= \frac{μ_{0}}{4 π} \times \frac{2 π i}{R} = \frac{μ_{0}}{2} \frac{(q)}{Rt} = \frac{μ_{0} q.f}{2 R}$

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