Question

In the circuit shown below in Figure #2, Switch U2 is normally closed and Switch U1 is normally open. At t= 0 seconds switch U1 closes. After 100 milli-seconds have passed, switch U2 opens. Assume the inductor has zero current at t=0 - (before switch U1 closes). Determine the following:

a) Rth and τ when switch U1 closes.

b) Rth and τ when switch U2 opens.

c) the equation for the current through the inductor during the charge cycle.

d) the voltage at Node A when switch U2 opens at t=100milli-seconds.

e) Sketch the current through the inductor to 200 milli-seconds.

f) Sketch the voltage at A to 200 milli-seconds.

L1 TCLOSE = 0 TOPEN = 100m A U1 U2 100mH V1 R1 10V R2 75 10 0.

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Answer #1

(a) At t=0, both switches U1 and U2 are closed. The circuit diagram vi 100mH 10v * R1 753 To calculate the Thevenin resistancThe final current through inductor is, i(6)= 10 =1 A The equation for the current through the inductor is, i(t)=i()+[i(0)-1(m

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