1. After being open for a long time, the switch, S, in the circuit shown below i

Question

1. After being open for a long time, the switch, S, in the circuit shown below is closed at 0 for 1 ms, and then opened again. Determine the voltage across the 125 resistor for t> 0. [10 Marks] (Hint: you need to find two expressions for the voltage, one for times between 0 1 ms. When the switch is opened, remember that the current in the inductor cannot change instantaneously. Think carefully about the direction of the current in the 125 S2 resistor before and after the switch is opened, and reflect this in your answer.) 500 120 V 0.2 H 125

Explanation / Answer

for t <1 ms

the inductor behave as open circuit, hence

R = total resistance of the circuit = 500 + 125 = 625 ohm

i = current in the circuit cming from battery = E/R = 120/625 = 0.192 A

V' = Voltage across 125 ohm resistor = (125) i = (125) (0.192) = 24 Volts

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