A technician wraps wire around a tube of length 35 cm having a diameter of 8.2 cm. When the windings are evenly spread over the full length of the tube, the result is a solenoid containing 555 turns of wire.
(a) Find the self-inductance of this solenoid.
(b) If the current in this solenoid increases at the rate of 6 A/s, what is the self-induced emf in the solenoid?