A circular coil of wire having N turns has a radius a, resitance R and inductance L. The coil lies in the xy-plane and centered at the origin. A small cylin- drical bar magnet of mass M and magnetic dipole moment m = m2 is released from rest and continues to fall indefinitely. a) What is the induced emf in the coil? b) Determine the equation of motion of the magnet. c) Calculate the total charge Aq that is displaced in the circuit when the magneti is released at a height % = %0 at t = 0 moves through the coil and travels towards -0. 2

A circular coil of wire having N turns has a radius a, resitance R and inductance L. The coil lies in the xy-plane and centered at the origin. A small cylin- drical bar magnet of mass M and magnetic dipole moment m = m2 is released from rest and continues to fall indefinitely. a) What is the induced emf in the coil? b) Determine the equation of motion of the magnet. c) Calculate the total charge Aq that is displaced in the circuit when the magneti is released at a height % = %0 at t = 0 moves through the coil and travels towards -0. 2