7.5 cm long solenoid has 74 windings and a circular cross section of radius a=1.1 cm. The solenoid goes through the center of a circular coil of wire with 62 windings and radius b=7.5 cm. The current in the circular coil changes according to i(t)=2t2+4.5t. A) What is the mutual inductance of the coil and solenoid? B) What is the magnitude of the emf induced in the solenoid at t=1.5  s?

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