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A circuit is constructed with four resistors, one inductor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 42 Ω, R3 = 72 Ω and R4 = 148 Ω. The inductance is L = 206 mH and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign.

831_A circuit is constructed with four resistors.png

1) The switch has been open for a long time when at time t = 0, the switch is closed. What is I4(0), the magnitude of the current through the resistor R4 just after the switch is closed?

2) What is I4(3), the magnitude of the current through the resistor R4 after the switch has been closed for a very long time?

3) What is IL(3), the magnitude of the current through the inductor after the switch has been closed for a very long time?

4) After the switch has been closed for a very long time, it is then opened. What is I3(topen), the current through the resistor R3 at a time topen = 3.6 ms after the switch was opened? The positive direction for the current is indicated in the figure.

5) What is VL,max(closed), the magnitude of the maximum voltage across the inductor during the time when the switch is closed?

6) What is VL,max(open), the magnitude of the maximum voltage across the inductor during the time when the switch is open?

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