[10] (4) A 0.10 m long solenoid has a radius of 0.05 m and 15000 turns. The current in the solenoid changes at a rate of 6.0 A/S. A conducting loop of radius 0.02 m is placed at the center of the solenoid with its axis the same as that of the solenoid as shown. Determine: [4](4.a) The mutual inductance of this combination. [4](4.b) The self inductance of the solenoid. [2](4.c) The self-induced emf in the solenoid due to the changing current. Conducting Loop Solenoid = \"ll\"ll'lmlllllll