Question

A plane circular coil is rotated about its vertical diameter with a constant angular speed \(\omega\) in a uniform horizontal magnetic field. Initially the plane of the coil is parallel to the magnetic field. Draw the plot showing the variation of induced emf \(e\) in the coil as a function of \(\omega t\), where \(t\) represents the time elapsed.

Hint:

Whenever \[ \phi=\phi_0\sin(\omega t), \] Faraday's law gives \[ e=-\frac{d\phi}{dt} =-e_0\cos(\omega t). \] Thus, the induced emf leads or lags the flux by \(90^\circ\) depending upon the chosen sign convention.

Answer 1