A solenoid is 50 cm long, 2 cm in diameter, and contains 1500 turns. The cylindrical core has a diameter of 2 cm and a relative permeability of 75. This coil is coaxial with a second solenoid, 50 cm long, but with a 3 cm diameter and 1200 turns. Calculate: (a) The self-inductance for the inner solenoid; (b) The self-inductance for the outer solenoid; (c) The mutual inductance between the two solenoids.

A solenoid is 50 cm long, 2 cm in diameter, and contains 1500 turns. The cylindrical core has a diameter of 2 cm and a relative permeability of 75. This coil is coaxial with a second solenoid, 50 cm long, but with a 3 cm diameter and 1200 turns. Calculate: (a) The self-inductance for the inner solenoid; (b) The self-inductance for the outer solenoid; (c) The mutual inductance between the two solenoids.