Question

In the circuit shown in (Figure 1) switch Si has been closed a long time while switch S2 has been left open. Then S2 is closed at the same instant when S1 is opened.


 In the circuit shown in (Figure 1) switch Si has been closed a long time while switch S2 has been left open. Then S2 is closed at the same instant when S1 is opened.

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Part A 

Just after S2 is closed, the current through the resistor is 12.0 A and its rate of decrease is di/dt = 36.0 A/s. How long does it take the current to decrease to Figure 1 of 1 6.00 A, one-half its initial value? 

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Answer #1

The current discharging equation is

or

or

Therefore

When i = 6 A

or the time when the current is 6 A is

t = 0.231 second

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