Question

A circular copper-ring of radius r translates in its plane with a constant velocity v. A uniform magnetic field B exists in the space in a direction perpendicular to the plane of the ring. Consider different pairs of diametrically opposite points on the ring. (a) Between which pair of points is the emf maximum? What is the value of this maximum emf? (b) Between which pair of points is the emf minimum? What is the value of this minimum emf ?

Answer 1

(a) The maximum value of the emf is between the end points of the diameter perpendicular to the velocity.

The value of the maximum emf is given by

E_max = vB(2R)

(b) The minimum value of emf is between the end points of the diameter parallel to the velocity of the ring.

The minimum value of emf is given by

E_min = 0