4. a) Given the circuit shown below in figure P4, compute the inductor current, iL(t), for t≥ 0 utilizing the generalized equation presented in lecture. Assume the "make-before-break" switch shown in figure P4 is ideal and makes the transition from position A to position B in zero time. The current and voltage conventions shown must be used in the analysis to receive any credit. b) Use your answer to part 4(a) above and the relationship between the inductor current, i₁(t), and the inductor voltage, VL(t), shown below in equation P4 to compute VL(t) for t≥0. Equation P4: V₁ (t) = L diL(t) dt V₁(t) + R₁ = 100[2] i₁(t) VS1 = 100[V] A t=0 B t = 0 + R₂ = 100[2] V2(t) + Tiz(t) V3(t) = vc(t) + VS2 = 200[V] + C Figure P4 | iz(t) R3 = 100[2] + ↓iL(t) VL(t) L = 1[H]

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Publisher:Robert L. Boylestad
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4. a) Given the circuit shown below in figure P4, compute the inductor current, iL(t), for t≥ 0 utilizing the
generalized equation presented in lecture. Assume the "make-before-break" switch shown in figure P4 is
ideal and makes the transition from position A to position B in zero time. The current and voltage
conventions shown must be used in the analysis to receive any credit.
b) Use your answer to part 4(a) above and the relationship between the inductor current, i₁(t), and the inductor
voltage, VL(t), shown below in equation P4 to compute VL(t) for t≥0.
Equation P4: V₁ (t) = L
diL(t)
dt
V₁(t)
+
R₁ = 100[2]
i₁(t)
VS1 = 100[V]
A
t=0
B
t = 0
+
R₂ = 100[2]
V2(t)
+
Tiz(t)
V3(t) = vc(t)
+
VS2 = 200[V]
+
C
Figure P4
| iz(t)
R3 = 100[2]
+
↓iL(t)
VL(t)
L = 1[H]
Transcribed Image Text:4. a) Given the circuit shown below in figure P4, compute the inductor current, iL(t), for t≥ 0 utilizing the generalized equation presented in lecture. Assume the "make-before-break" switch shown in figure P4 is ideal and makes the transition from position A to position B in zero time. The current and voltage conventions shown must be used in the analysis to receive any credit. b) Use your answer to part 4(a) above and the relationship between the inductor current, i₁(t), and the inductor voltage, VL(t), shown below in equation P4 to compute VL(t) for t≥0. Equation P4: V₁ (t) = L diL(t) dt V₁(t) + R₁ = 100[2] i₁(t) VS1 = 100[V] A t=0 B t = 0 + R₂ = 100[2] V2(t) + Tiz(t) V3(t) = vc(t) + VS2 = 200[V] + C Figure P4 | iz(t) R3 = 100[2] + ↓iL(t) VL(t) L = 1[H]
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