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A solenoid has a cross section area of 6*10-4 m2, consists of 400 turns per meter, and carries a current of 0.4A. A 10 turn coil is wrapped tightly around the circumference of the solenoid. The ends of the coil are connected to a 1.5Ω resistor. Suddenly, a switch is opened, and the current in the solenoid dies to zero in a time 0.05s. Find the average current in the coil.

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The coefficient of mutual inductance M for an air core solenoid is given by :

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