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 = 40 V, L = 12 mH, R1 = 25 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?

(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 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) Concept: when the switch is closed inductor will behave initially as open circuit.

so,

induced emf in the inductor

b) After switch is closed for long time Inductor will behave as short circuit

So,

current I1 V/R1A current I2 0A voltage across R1 V Volts voltage across R2 V Volts power supplied by the battery I1*V = V2/R1 W

induced emf in the inductor

LdI2/dt

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