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253-hwk-33b - HPHY 253 Homework 33b Alternating-Current...

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HPHY 253 Homework 33b Alternating-Current Circuits Dr. A. E. Bak Name 1. Serway & Jewett Problem 33 : 21 . A RLC circuit consists of a 150 - ° resistor, a 21 : 0 - °F capacitor, and a 460 - mH inductor connected in series with a 120 V , 60 : 0 - Hz power supply. (a) What is the phase angle between the current and the applied voltage? (b) Which reaches its maximum earlier: the current or the voltage? 2. Serway & Jewett Problem 33 : 24 . An AC source with ± V max = 150 V and f = 50 : 0 Hz is connected between points a and d in Figure P 33 : 24 . (a) Calculate the maximum voltage between points a and b . (b) Calculate the maximum voltage between points b and c . (c) Calculate the maximum voltage between points c and d . (d) Calculate the maximum voltage between points b and d . 3. Serway & Jewett Problem 33 : 46 . Consider the °lter circuit shown in Active Figure 33 : 23 a . (a) Show that ± V max out ± V max in = 1 = ( !C ) q R 2 + ° 1 !C ± 2 is the gain ratio, that is, the ratio of output to input voltage amplitudes. (b) What value does the gain ratio approach as the frequency decreases toward zero? What value does the gain ratio approach as the frequency increases without limit? (c) At what frequency is the gain ratio equal to one-half?
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