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AIPMT PRELIMS2010Physics-Magnetism

AIPMT PRELIMS 2010 Physics Magnetic Field Due to Current MCQ Question

Type: MCQ-numerical-Medium-Class 12

A thin ring of radius R meter 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/m² at the centre of the ring is

A

μ0qf2R\frac{\mu_0 qf}{2R}

B

μ0qf2πR\frac{\mu_0 qf}{2\pi R}

C

μ0q2πfR\frac{\mu_0 q}{2\pi fR}

D

μ0q2fR\frac{\mu_0 q}{2fR}

Correct Answer

Option A

Detailed Explanation

The magnetic induction at the center of a rotating charged ring is given by B = μ0qf2πR\frac{\mu_0 qf}{2\pi R}, where μ0\mu_0 is the permeability of free space, q is the charge, f is the frequency, and R is the radius.

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