The switch has been open for a long time and closes at t = 0. Find vo(t) in two ways: 10 Q2 www 15 Ω + 2 mA 350 32 mH 40 4i Regt vo(t) = (v₂(0¹) - Vss)e¯¯¯ + VSS, t≥ 0+ A. Find i, (0-), i (0+), v₂(0¯), vo(0*) using circuit analysis. Next find vo(0) = Voss. Next find Req the equivalent resistance seen by the inductor L. Finally, use the general formula 1 mA B. Reduce the circuit to its Thevenin Equivalent at the inductor terminals, write the governing DFQs for vo(t) and for i, (t) and solve them. Verify that vo(t): Ldi = dt

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The switch has been open for a long time and closes at t = 0. Find
vo(t) in two ways:
10 Q
www
15 Ω
ww
+
-1=0
2 mA 50 vo2mH 452 4i
A. Find i₂(0), i (0†), v(0¯), v(0*) using circuit analysis. Next
find (0) = Voss. Next find Req the equivalent resistance seen by the inductor L. Finally, use the general formula
Reqt
vo(t) = (v₂(0¹) — Vss) + VSS, t≥ 0+
1 mA
B. Reduce the circuit to its Thevenin Equivalent at the inductor terminals, write the governing DFQs for vo(t) and for
LdiL
i(t) and solve them. Verify that vo(t) = dt
Transcribed Image Text:The switch has been open for a long time and closes at t = 0. Find vo(t) in two ways: 10 Q www 15 Ω ww + -1=0 2 mA 50 vo2mH 452 4i A. Find i₂(0), i (0†), v(0¯), v(0*) using circuit analysis. Next find (0) = Voss. Next find Req the equivalent resistance seen by the inductor L. Finally, use the general formula Reqt vo(t) = (v₂(0¹) — Vss) + VSS, t≥ 0+ 1 mA B. Reduce the circuit to its Thevenin Equivalent at the inductor terminals, write the governing DFQs for vo(t) and for LdiL i(t) and solve them. Verify that vo(t) = dt
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