A square coil of 50 turns and area rotates with its plane fixed while a perpendicular…

PHYSICS · Single correct · CBSE · Physics · Electromagnetic Induction · Electromagnetic Induction

Problem

A square coil of 50 turns and area

0.020\,\text{m}^2

rotates with its plane fixed while a perpendicular magnetic field varies according to

B(t)=B_0\sin(2\pi f t)

, where

B_0=0.30\,\text{T}

and

f=60\,\text{Hz}

. What is the magnitude of the average emf induced in the coil during the first quarter–cycle of the field variation (from

t=0

t=1/(4f)

)? (a)

36\,\text{V}

(b)

72\,\text{V}

(c)

80\,\text{V}

(d)

1.1\times10^{2}\,\text{V}