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# ps8 - UNIVERSITY OF CALIFORNIA College of Engineering...

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UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences EE 42 / 100 Problem Set 8 Spring 2008 1. Calculate the inductance between nodes (a,b). 2. The graph below shows the current applied to an 8 mH inductor as a function of time. (a) Derive expressions for the voltage across the inductor for t = 0 . . . 3 ms, t = 3 . . . 8 ms, and t = 8 . . . 9 ms. (b) Derive expressions for the power delivered to the inductor as a function of time. (c) Derive expressions for the energy stored on the inductor as a function of time. (d) Plot the results from parts (a) to (c). 0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 Time [ms] Current i L [mA] 1

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3. The current through the inductor is initially zero. Accurately plot the value of v o ( t ) for the source voltage shown below. Calculate the voltage at each breakpoint. Assume that the opamp is ideal. 0 1 2 3 4 5 6 7 8 9 10 11 -4 -3 -2 -1 0 1 2 3 4 t [ns] V s [V] 2
4. Assume a laptop requires i 1 = 1 A at v 1 = 16 V. The circuit below shows a simple (and bad) solution to power this device directly from 110 V.

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