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Unformatted text preview: benavides (jjb2356) homework 37 Turner (59130) 1 This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points A 0 . 59 mF capacitor is connected to a stan- dard outlet ( rms voltage 57 . 7 V, frequency 44 Hz ). Determine the magnitude of the current in the capacitor at t = 0 . 00896 s, assuming that at t = 0, the energy stored in the capacitor is zero. Correct answer: 10 . 4778 A. Explanation: Let : V rms = 57 . 7 V , C = 0 . 59 mF = 0 . 00059 F , f = 44 Hz , and t = 0 . 00896 s . The capacitive reactance is X C = 1 C = 1 2 f C . The maximum current is I max = V max X C = 2 V rms X C = 2 (2 f C ) V rms . Because the current leads the voltage across a capacitor by 90 , at time t , I = I max sin ( t + 90 ) = 2 2 f C V rms sin (2 f t + 90 ) = 2 2 (44 Hz) (0 . 00059 F) (57 . 7 V) sin [2 (44 Hz)(0 . 00896 s) + 90 ] = 10 . 4778 A , so | I | = 10 . 4778 A . keywords: 002 10.0 points The emf E can drive the circuit below at any given frequency. E C L R A B D At what frequency does the light bulb glow most brightly? 1. the frequency = 1 LC 2. both very low frequencies or very high frequencies correct 3. very low frequencies 4. very high frequencies 5. the frequency = LC Explanation: Since the brightness of the bulb is propor- tional to the power dissipated in it, P = I 2 rms R, . In order to obtain maximum brightness we should adjust the frequency so that the rms current I rms through the bulb is the largest....
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