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Spring 11 Phys 121 - HW 13

# Spring 11 Phys 121 - HW 13 - dzifanu(sd26397 hw 13...

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dzifanu (sd26397) – hw 13 – opyrchal – (121102) 1 This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points An inductor is connected to a 66 Hz power supply that produces a 19 V rms voltage. What inductance is needed to keep the instantaneous current in the circuit below 77 mA? Correct answer: 0 . 8415 H. Explanation: Let : f = 66 Hz , V rms = 19 V , and I max = 77 mA = 0 . 077 A . The rms current is I rms = I max 2 . The minimum inductive impedence is ( X L ) min = V rms I rms = 2 V rms I max , so the minimum inductance is L min = ( X L ) min 2 π f = 2 V rms 2 π f I max = V rms 2 f I max = 19 V 2 (66 Hz) (0 . 077 A) = 0 . 8415 Ω . where f is the frequency of the power supply. 002 10.0points A variable-frequency AC generator with max- imum voltage 18 V is connected across a 3 . 4 × 10 8 F capacitor. At what frequency should the generator be operated to provide a maximum current of 4 . 7 A? Correct answer: 1 . 22227 × 10 6 Hz. Explanation: Let : V max = 18 V , C = 3 . 4 × 10 8 F , and I max = 4 . 7 A . The maximum current is I max = V max X C = ω C V max = 2 π f C V max , so the frequency of the generator is f = I max 2 π C V max = 4 . 7 A 2

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