A circular coil of turns and radius is initially at rest with its plane perpendicular…

PHYSICS · Multi-part · CBSE · Physics · Electromagnetic Induction · Electromagnetic Induction

Problem

A circular coil of

200

turns and radius

8\,\text{cm}

is initially at rest with its plane perpendicular to a uniform magnetic field of

0.15\,\text{T}

. The coil starts rotating from rest with a constant angular acceleration of

3\,\text{rad}\,\text{s}^{-2}

about a diameter lying in its plane. (i) Derive an expression for the induced EMF

\varepsilon(t)

as a function of time

t

during the first few seconds of motion. (ii) Calculate the magnitude of the induced EMF at

t = 2.0\,\text{s}