A 2.00 cm diameter 5.00 cm long solenoid has 04 turns and has a 1.00 cm diameter

Question

A 2.00 cm diameter 5.00 cm long solenoid has 04 turns and has a 1.00 cm diameter loop inside it. The loop has a resistance of 0.600 Ohm. What is the current in the loop at 0.0140 s? The the maximum and the minimum current in the graph have the same magnitude which is 4.70 A. The figure provided shows a switch that has been in position 1 for a long time. If it is changed to position 2 at t = 0 s, what is the first time at which the current is maximum? L = 7.70 mH, C = 50.2 mu F, V = 2.56 V and R = 1.29 Ohm.

Explanation / Answer

q1)

rate of change of current , di/dt = 2 * 4.7/(0.02)

di/dt = 470 A/s

NOw, for the induced current in the loop

induced current = u0 * n * di/dt * pi * r^2/R

induced current = 4pi *10^-7 * 104/0.05 * 470 * pi * (0.01/2)^2/0.600

induced current = 1.61 *10^-4 A

the induced current is 1.61 *10^-4 A

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