Question

A 1.0 m long metallic rod is rotated with an angular frequency of 400 rad $s^{-1}$ about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field of 0.5 T parallel to the axis exists everywhere. Calculate the emf developed between the centre and the ring.

Answer 1

The emf is given by

$e=\frac{B{l}^2\omega }{2}=\frac{0.5\times 1^2\times 400}{2}=100V$