(a) Show that (ignoring edge effects), the self-inductance, L, of a solenoid with n turns per unit length, length l, and cross-sectional area A, is given by:
L = μ₀n²Al
(b) A solenoid with 100 turns, length 10 cm, and a radius of 1 cm carries a current of 5 A. Calculate the magnetic energy stored in the solenoid.
(c) The current in the solenoid from part (b) is reduced to zero at a uniform rate over 5 s. Calculate the emf induced in the coil.