Question

a rectangular coil of area A, number turns N is rotated at f rev/s in a uniform magnetic field B, the field being perpendicular to the coil. prove that the maximum emf induced in the coil is 2pief NBA

Answer 1

$$\begin{gathered} \text{Induced EMF}\text{'}E\text{'}\text{is given by} \\ E=BAN\omega \sin \theta \\ \text{Here}\theta =90°\text{and}\omega =2\pi f,\text{putting this values we get} \\ E=BAN\times 2\pi f\times 1=2\mathrm{\pi fNBA} \end{gathered}$$