A square coil of side `25cm` having `1000` turns is rotated with a uniform speed in a magnetic field about axis perpendicular to the direction of the field. At an instant `t`, the e.m.f. induced in the coil is `e=200 sin 100pi t`. The magnetic induction is

Options

A. 0.50 T
B. 0.02 T
C. 0.01 T
D. 0.1 T

Answer

C

Explanation

`e=200sin 100 pi t`
`therefore e_(0)=200, omega = 100 pi`
Now, `NAB omega = e_(0)`
`therefore B=(e_(0))/(NA omega)` or `B=(200)/(1000xx(25xx10^(-2))^(2)xx100 pi)`
or `B=0.01 T`