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, Rs = 500 2, 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 L dilt) + 1₂ (t) = 0 Tan dt Vs(t)( R₁ t = 0 R₂ R3 www R4 R5 i(t) Is(t) t = 07 R7 R6 bas V₂ (f): < dicht) dt L.

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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, R5 = 500 2, 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
Vs(t)
t = 0
R₁
MX
R₂
R3
www
R4
ww
R₁ i(t)↓
Is(t) t = 07
୪୪୪
ww
R7
R6
L
+ dilct) + ₁₂ (t) = 0
i
L
Rn
dicht)
dt
V₂ (t) = Lo
Eam bra za
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, R5 = 500 2, 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 Vs(t) t = 0 R₁ MX R₂ R3 www R4 ww R₁ i(t)↓ Is(t) t = 07 ୪୪୪ ww R7 R6 L + dilct) + ₁₂ (t) = 0 i L Rn dicht) dt V₂ (t) = Lo Eam bra za
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