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# ps7 - 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 7 Spring 2008 1. Calculate the capacitance between nodes (a,b). 2. The graph below shows the voltage applied to a 5 μ F capacitor as a function of time. (a) Derive expressions for the current flowing into the capacitor for t = 0 . . . 3 ms, t = 3 . . . 8 ms, and t = 8 . . . 9 ms. (b) Derive expressions for the power delivered to the capacitor as a function of time. (c) Derive expressions for the energy stored on the capacitor 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] Voltage V c [V] 1

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3. The capacitor is initially discharged ( v o = 0 V). Assume that the opamp is ideal. Accurately plot the value of v o ( t ) for the source voltage shown below. Calculate the voltage at each break- point. 0 1 2 3 4 5 6 7 8 9 10 11 -4 -3 -2 -1 0 1 2 3 4 t [ μ s] V s [V] 2
4. In the circuit below the switch closes at time t = 0 s.
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