# hw7 - Ω load resistor what value of C will guarantee a...

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University of California, Berkeley Spring 2010 EE 42/100 Prof. A. Niknejad Problem Set 4 Due Friday (5pm), October 29, 2010 1. The three circuits below are driven by the sinusoidal input waveform v s with amplitude 1V and frequency 1 kHz. (a) Draw the output waveforms for all three circuits. Assume an ideal diode with a turn-on voltage of 0.5V. Also assume R = 10 Ω and C = 10pF. (b) Explain the advantage of using an op amp in the second circuit. (c) Why is the behavior of the third circuit different from the rest? 2. The voltage source Vs generates the periodic signal shown in the figure below. The signal has period T = 1ms and maximum voltage V m = 1V. (a) Use an ideal diode (with turn-on voltage of 0V) and a capacitor C to build a half-wave rectifier circuit for an arbitrary load resistor and draw the corresponding circuit diagram. (b) Sketch the output voltage across the load resistor. (c) If we have a 50

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Unformatted text preview: Ω load resistor, what value of C will guarantee a ripple < 0.01 V m ? (Chapter 10.6 in the textbook explains how to calculate the ripple). V s t (ms) 1 .5 1V-1V 3. Consider the circuit below wherein an inductor carrying an initial current i (0) = I o is discharged through a resistor. (a) Find an expression for i ( t ) in terms of R and L . (b) Obtain an expression for the energy stored in the inductor as a function of time. (c) Calculate the power lost by the resistor as a function of time and verify it agrees with your result from part (b). 4. The switch in the circuit below was open a long time before closing at t = 0. (a) Give an expression for i L ( t ) for t ≥ 0. (b) Give an expression for v L ( t ) for t ≥ 0. (c) Are i L and v L continuous at t = 0? 12V 10 Ω 40 Ω 120 Ω 20 Ω 100 mH + _ v L i L t=0...
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hw7 - Ω load resistor what value of C will guarantee a...

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