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# hw8 - University of California Berkeley EE 42/100 Fall 2010...

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University of California, Berkeley Fall 2010 EE 42/100 Prof. A. Niknejad Problem Set 8 [rev B] Due Friday (5pm), November 5, 2010 1. Phasor math. Work out these arithmetic problems. (Appendix A of the textbook has some review material on complex/phasor math). (a) 1 6 17 . 15 + 2 6 17 . 15 (b) 5 6 60 - 5 6 0 + 5 6 300 (c) 15 sin(20 πt + 1 4 π ) - 7 cos(20 πt + 133 ) (Convert to phasor representation, do the math, then convert back to a sinusoid. Be careful about degrees vs. radians.) (d) 4 6 20 × 0 . 5 6 45 (Do this two ways: once with a + ib representation, and once with re representation). 2. Equivalent impedance . For the circuit below, compute the equivalent impedance when the input frequency is 2 Hz, and when it is 20 Hz. Express your answer in polar form (i.e. r 6 θ .) 0 . 4H 20Ω 0 . 4H 20Ω 5 m F 3. Voltage divider. Find the labelled voltages in the circuit below (in sinusoidal steady state). Express your answers as sinusoid functions. 5 m H 1 μ F 10 m H 10Ω 20Ω 8 μ F 120 cos(2 π 60 t ) V 1 V 2

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4. Thevenin and Norton equivalents.
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• Fall '07
• Boser
• Resistor, Electric motor, Switched-mode power supply, Electrical impedance, Electric power, power factor correction

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hw8 - University of California Berkeley EE 42/100 Fall 2010...

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