PROBLEM 1: Steady state has been reached prior to t = 0 in the circuit below. Assume Vs(t) = 21.2V, Is(t) = 12 mA, R₁ = 100 S2, R₂ = 200 S2, R3 = 300 S2, R4 = 400 S2, R₁ = 500 S2, R6 = 600 S2, R7 = 700 £2, and L = 0.42 H. (a) Find the expression for the complete response of the inductor current i(t) for t≥ 0 (b) Sketch the waveform for i(t), labeling and providing values for the initial value, final value, time to reach steady state, and initial slope of the characteristic at t=0 L dillt) +i₁ (t) = 0 Rn dt R₁ t=0 V₁ (t) = L. Vs(t) R3 R2 R4 Rs L R5 iL(t)↓ Is(t) t = 07 R7 R6 sysla Eam bra die(t) de

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PROBLEM 1: Steady state has been reached prior to t = 0 in the circuit below. Assume Vs(t) = 21.2V,
Is(t) = 12 mA, R₁ = 100 S2, R₂ = 200 S2, R3 = 300 S2, R4 = 400 S2, R₁ = 500 S2, R6 = 600 S2, R7 = 700 £2, and
L = 0.42 H.
(a) Find the expression for the complete response of the inductor current iL(t) for t≥ 0
(b) Sketch the waveform for iL(t), labeling and providing values for the initial value, final value, time to
reach steady state, and initial slope of the characteristic at t=0
+i₁ (t) = 0
Vs(t)
R₁₁
t = 0
R3
R₂-
SEOS
R4
R₁ i(t)
Is(t) t = 07
www
R7
R6
L dillt)
Rn
dt
V₂ (t) = < dicht)
L
dt
Transcribed Image Text:PROBLEM 1: Steady state has been reached prior to t = 0 in the circuit below. Assume Vs(t) = 21.2V, Is(t) = 12 mA, R₁ = 100 S2, R₂ = 200 S2, R3 = 300 S2, R4 = 400 S2, R₁ = 500 S2, R6 = 600 S2, R7 = 700 £2, and L = 0.42 H. (a) Find the expression for the complete response of the inductor current iL(t) for t≥ 0 (b) Sketch the waveform for iL(t), labeling and providing values for the initial value, final value, time to reach steady state, and initial slope of the characteristic at t=0 +i₁ (t) = 0 Vs(t) R₁₁ t = 0 R3 R₂- SEOS R4 R₁ i(t) Is(t) t = 07 www R7 R6 L dillt) Rn dt V₂ (t) = < dicht) L dt
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