A solenoidal coil with 25 turns of wire is wound tightly around another coil with 300 turns (see fuample 30.1). The inner solenoid is 25.0 cm long and has a diameter of 2.00 cm. At a certain time, the current in the inner solenoid is 0.120 A and is increasing at a rate of 1.75 X 103 A/s. For this time, calculate;
(a) The average magnetic flux through each tum of the inner solenoid;
(b) The mutual inductance of the two solenoids;
(c) The emf induced in the outer solenoid by the changing current in the inner solenoid.