A square loop of edge a having n turns Is rotated with a uniform angular velocity `omega` about one of its diagonals which is kept fixed in a horizontal position . A uniform magnetic field B exists in the vertical direction. Find the emf induced in the coil.

Explanation

The are of klthe square fram is `A = a^2
if the normal to the frame makes an angle `theta = 0` with the magnetic field at t = 0, this angle will become `theta = omega t` at time t
The flux of the magnetic field at this time is ` Phi = nBA cos theta = n Ba^2 cos omega t`
The induced emf is ` epsilon =- (d Phi)/(dt) = nBa^2 omega sin omega t
Thus, an alternating emf is induced in the coil