A 0.100-m long solenoid has a radius of 0.050 m and 1.50 times 10^4 turns. The c

Question

A 0.100-m long solenoid has a radius of 0.050 m and 1.50 times 10^4 turns. The current in the solenoid changes at a rate of 6.0 A/s. A conducting loop of radius 0.0200 m is placed at the center of the solenoid with its axis the same as that of the solenoid as shown. Determine the mutual inductance of this combination. A) 1.8 times 10^-4 H B) 2.4 times 10^-4 H C) 3.6 times 10^-4 H D) 4.4 times 10^-4 H E) 5.9 times 10^-4 H Determine the induced emf in the loop. A) 0.7 times 10^-3 V B) 1.4 times 10^-3 V C) 2.8 times 10^-3 V D) 5.6 times 10^-3 V E) zero volts

Explanation / Answer

40)

Mutual inductance

M = u N A/ L

A is the area of the small coil

substituting values we get

M = 2.3687 x 10^-4 H

41)

Voltage = M di/dt

V = 1.4 x 10^-3 Volts

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