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Olympiad workbook

Exam: Olympiad workbook
Subject: NSEP
Chapter: Electromagnetic Induction

Olympiad workbook · NSEP · Electromagnetic Induction

A total charge Q is uniformly distributed over a non-conducting...

A total charge

Q

is uniformly distributed over a non-conducting ring of radius

r

. There is a time varying magnetic field perpendicular to its plane and changing at the uniform rate of

\frac{\mathrm{dB}}{\mathrm{dt}}

. The magnitude of induced tangential electric field E on ring is

Options

A $\mathrm{r} \frac{\mathrm{dB}}{\mathrm{dt}}$
B $\mathrm{r}^2 \frac{\mathrm{~dB}}{\mathrm{dt}}$
C $\frac{1}{2} \mathrm{r} \frac{\mathrm{dB}}{\mathrm{dt}}$
D $\frac{1}{2} \mathrm{r}^2 \frac{\mathrm{~dB}}{\mathrm{dt}}$

Correct answer

C. $\frac{1}{2} \mathrm{r} \frac{\mathrm{dB}}{\mathrm{dt}}$

Step-by-step solution

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