A cycle wheel of radius 0.5 ~m is rotated with constant angular velocity of 10 rad / s in a region of magnetic field of 0.1 ~T which is perpendicular to the plane of the wheel. The EMF generated between its centre and the rim is

Step-by-step solution

When a conducting disc or wheel of radius r rotates with constant angular velocity of about its axis in a uniform magnetic field perpendicular to its plane and parallel to its axis of rotation, then, Induced emf is given by, e = 1 2 ~B r ^2 ^2 Here, B=0.1 ~T , =10 rad / s , r =0.5 ~m Substituting these values in Eq. (i), we get e = 1 2 0.1 10 (0.5)^2= 1 8 ~V =0.125 ~V