What is the inductance of the solenoid


Solve the following:

Q: A 400-turn solenoid is 25-cm long and 3.0-cm in diameter.

(a) What is the inductance of the solenoid?

(b) The solenoid is then connected a circuit as shown in the figure, where e0=24.0V, R1=6.0ohm, R2=4.0ohm, R3=8.0ohm. Find current I1, I2 and I3 immediately after the switch is first closed.

(c) Find I1, I2 and I3 after the switch is closed a long time.

(d) Finally, the switch is turned off, what is the maximum induced emf on the solenoid and the current changing rate dl/dt immediately after the switch is off?

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