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One solenoid is centered inside another. The outer one has a length of 47 centimeter and contains 6800 coils, while the coaxial inner solenoid is 5 centimeter long and 0.120 centimeter in diameter and contains 15.0 coils. The current in the outer solenoid is changing at 37.5 A/s.

a) Obtain the mutual inductance of these solenoids?

b) Obtain the emf induced in the inner solenoid?

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