a) The current through a 40mH inductor is i(t) = te-2tA fort 2 0. Find the voltage across the terminals of the inductor. b) The voltage across a 200MH inductor is v(t) = current i(t) through the inductor. Assume i(0) = 1A. 3t2 + 2t + 4V for t > 0. Determine the

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### Exercise on Inductors

**a)** The current through a 40 mH inductor is \( i(t) = te^{-2t} \, \text{A} \) for \( t \geq 0 \). Find the voltage across the terminals of the inductor.

**b)** The voltage across a 200 mH inductor is \( v(t) = 3t^2 + 2t + 4 \, \text{V} \) for \( t \geq 0 \). Determine the current \( i(t) \) through the inductor. Assume \( i(0) = 1 \, \text{A} \).
Transcribed Image Text:### Exercise on Inductors **a)** The current through a 40 mH inductor is \( i(t) = te^{-2t} \, \text{A} \) for \( t \geq 0 \). Find the voltage across the terminals of the inductor. **b)** The voltage across a 200 mH inductor is \( v(t) = 3t^2 + 2t + 4 \, \text{V} \) for \( t \geq 0 \). Determine the current \( i(t) \) through the inductor. Assume \( i(0) = 1 \, \text{A} \).
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