The voltage across a 200-mH inductor is given by v(t) = 3t² + 2t + 4 V for t > 0. Determine the current i(t) through the inductor. Assume that i(0) = 1 A. A) i(t) = t^3 + t^2 + t + 1 A B i(t) = t^3 - 2t^2 + 2t - 1 A (C) i(t) = 5t^3 + 5t^2 + 20t + 1 A D) i(t) = 6t^3 + 2t^2 + 20t + 1 A

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3. Inductor
The voltage across a 200-mH inductor is given by
v(t) = 3t²2² + 2t + 4 V
for t > 0.
Determine the current i(t) through the inductor.
Assume that i(0) = 1 A.
A) i(t) = t^3 + t^2 + t + 1 A
B
i(t) = t^3 - 2t^2 + 2t - 1 A
(C) i(t) = 5t^3 + 5t^2 + 20t + 1 A
D) i(t) = 6t^3 + 2t^2 + 20t + 1 A
Transcribed Image Text:The voltage across a 200-mH inductor is given by v(t) = 3t²2² + 2t + 4 V for t > 0. Determine the current i(t) through the inductor. Assume that i(0) = 1 A. A) i(t) = t^3 + t^2 + t + 1 A B i(t) = t^3 - 2t^2 + 2t - 1 A (C) i(t) = 5t^3 + 5t^2 + 20t + 1 A D) i(t) = 6t^3 + 2t^2 + 20t + 1 A
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