No currents flow in the circuit before the switch is closed. Consider all circui

Question

No currents flow in the circuit before the switch is closed. Consider all circuit elements to be ideal. (Let V = 44 V, L = 16 mH, R1 = 26 k?, and R2 = 2.9 k?.)

(a) At the instant the switch is closed, what are the values of the currents I1 and I2, the potential differences across the resistors, the power supplied by the battery, and the induced emf in the inductor?

V

(b) After the switch has been closed for a long time, what are the values of the currents I1 and I2, the potential differences across the resistors, the power supplied by the battery, and the induced emf in the inductor?

current I1   A

current I2A

voltage across R1V

voltage across R2V

power supplied by the battery W

induced emf in the inductor V

current I1 A current I2 A voltage across R1 V voltage across R2 V power supplied by the battery W induced emf in the inductor

V

Explanation / Answer

a) when switch is closed inductor acts as an open circuit hence

I2=0

V2=0

V1=44V

I1= 44/26 mA =1.69mA

power supplied by battery=VI1=44V*1.69mA=74.36mW

induced emf in inductor= infinity

b) after a long time of closing the switch the inductor will act as a shortcircuit. hence you can easily calculate the required parameters

current I1 = 1.69 mA

current I2 = 0.015A

  Voltage across R1 = 44V

voltage across R2 = 44 V

power supplied = 0.742 W

emf induced in inductor=0V

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