One solenoid is centered inside another. The outer one has a length of 55 centimeter and contains 6700 coils, while the coaxial inner solenoid is 5 centimeter long and 0.160 centimeter in diameter and contains 22 coils. The current in the outer solenoid is changing at 36.5 A/s.
Determine the mutual inductance of these solenoids?
Evaluate the emf induced in the inner solenoid.