A generator coil has turns

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

Problem

A generator coil has

200

turns, each of area

0.040\,\text{m}^2

. It starts from rest and rotates in a uniform magnetic field of

0.30\,\text{T}

with a constant angular acceleration of

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

. The plane of the coil is perpendicular to the field at

t=0

. (a) Obtain an expression for the instantaneous emf

\epsilon(t)

as a function of time

t

. (Keep your answer in terms of the given symbols.) (b) Calculate the emf produced at

t = 0.050\,\text{s}

. (Give your answer to two significant figures.)