A small magnet (weight w) falls under gravity down the center of an infinitely long, vertical, conducting tube of radius a, wall thickness t (a) At the moment it passes through z = z₀, show that the magnetic flux produced by m through a ring of radius a at height z' is

(b) When the speed v of the dipole is small, argue that the Faraday EMF induced in the ring is

(c) Show that the current induced in the thin slice of tube which includes the ring is

(d) Compute the magnetic drag force F on m by equating the rate at which the force does work to the power dissipated in the walls of the tube by Joule heating,

(e) Find the terminal velocity of the magnet.

Hom a 3 2 where r2 = a + (zo - z').