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One solenoid is centered inside another. The outer one has a length of 50.0 cm and contains 6750 coils, while the coaxial inner solenoid is 3.0 cm long and 0.120 cm in diameter and contains 15 coils. The current in the outer solenoid is changing at 49.2 A/s.

(a) What is the mutual inductance of these solenoids?

(b) Find the emf induced in the innner solenoid.

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