Given the circuit shown in the figure where L-1.20 H, V 10.0 , R-16.0 , the indu

Question

Given the circuit shown in the figure where L-1.20 H, V 10.0 , R-16.0 , the inductor has negligible internal resistance and the switch S has been open for a long time. The switch is then closed. 100 (a) Find the current 1 in the battery, the 100 resistor, and the inductor immediately after the switch is closed battery 100 mA mA (b) Find the current 1 in the battery, the 100 resistor, and the inductor a long time after the switch is closed. battery 1002 (c) After being closed for a long time the switch is now opened. Find the current 1 in the battery, the 100 resistor, and the inductor immediately after the switch is opened. battery 100 (d) Find the current in the battery, the 100 resistor, and the inductor after the switch is opened for a long time. battery 100

Explanation / Answer

(A) I_battery = V / (R + 100)

= 0.0862 A

= 86.2 mA

through 100 ohm = 86.2 mA

through L = 0

(B) after long time,

through 100 ohm = 86.2 mA

through L = V / R = 0.625 A = 625 mA

through battery = 711.2 mA

(C) through battery = 0

through L = through 100 ohm = 625 mA

(D) after long time.

I = 0 (through all three elements )

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