Question

A rectangular coil of area $A$, having the number of turns $N$ is rotated at $f$ revolutions per second in a uniform magnetic field $B$ the field is perpendicular to the coil. Prove that the maximum emf induced in the coil is $2\pi fNBA$.

Answer 1

$\begin{array}{c}E=BAN\omega \sin \theta \\ \omega =2\pi fandat\theta ={90}^{\circ }\\ E=BAN\left(2\pi f\right)\sin 90\\ =2\pi fBAN\end{array}$