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# 12 - immediately after the switches close and a very very...

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EE 2001 Fall 2008 Problem Set 12 Solution ______________________________________________________________________ Capacitors and Inductors: The voltage across a 100 mH inductor is shown below. Sketch the current through the inductor if i L (0)=I O =5 A. The current through a 100 mF capacitor is shown below. Sketch the voltage across the capacitor if v C (0) = V O =25 V. Determine v C explicitly at t = -1, 2, 3, and 4 seconds; roughly sketch v C between those points. 1 2 3 4 -1 0.5 v L t 1 2 3 4 -1 5 i L t -0.25 i L = ∆λ /L ∆λ = volt-second area 1 2 3 4 -1 5 i C t 1 2 3 4 -1 25 v C t -2.5 v C = q/C q = amp-second area volt-second area

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Capacitors and Inductors in DC circuits: Find the current through and the voltage across each inductor and capacitor in the DC circuit diagrammed below. Remember, inductors are shorts and capacitors are opens in steady-state DC circuits. + 25 V _ + 5 V _ 50 150
More Capacitors and Inductors in DC circuits: The switches have been open for a very long time before closing in the circuits diagrammed below. Find the inductor currents just before the switches close,

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Unformatted text preview: immediately after the switches close, and a very, very long time after the switches close. Find the inductor voltages for the same times. + 16 V _ 8 Ω 8 Ω + 100 V _ 80 Ω + 84 V _ 7 Ω 5 Ω Inductors and Capacitors: In the circuit shown, i 1 = 3 e-2t and i 2 = 5t. Find v 1 , v 2 , and v 3 . + v1 _ + v2 _ + v3 _ 5 Ω 2 Ω 4 H i 1 i 2 Energy Storage: The physical size of a capacitor is roughly proportional to its CV product (capacitance times the maximum voltage that can be applied to the capacitor). To store the most energy in the smallest space, is it best to work with large voltages and small capacitances or low voltages and large capacitances? The physical size of an inductor is roughly proportional to its energy storage capability, so there isn’t a similar question that can be asked about inductors....
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12 - immediately after the switches close and a very very...

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