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PhyIIHW8Solutions

PhyIIHW8Solutions - hopkins(tlh982 HW08 criss(4908 This...

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hopkins (tlh982) – HW08 – criss – (4908) 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 (part 1 of 4) 10.0 points The primary coil of a certain transformer has an inductance of 1 . 16 H and a resistance of 71 . 7 Ω. If the primary coil is connected to an ac source with a frequency of 93 . 4 Hz and a voltage of 150 V rms , what is the rms current through the primary? Correct answer: 0 . 219135 A. Explanation: Let : f = 93 . 4 Hz , L = 1 . 16 H , R = 71 . 7 Ω , and V rms = 150 V . X L = 2 π f L = 2 π (93 . 4 Hz)(1 . 16 H) = 680 . 745 Ω , and Z = radicalBig X 2 L + R 2 = radicalBig (680 . 745 Ω) 2 + (71 . 7 Ω) 2 = 684 . 511 Ω . So the rms current is I rms = V rms Z = 150 V 684 . 511 Ω = 0 . 219135 A . 002 (part 2 of 4) 10.0 points If the primary is connected to 72 . 4 V dc, what is the current through the primary? Disregard initial effects. Correct answer: 1 . 00976 A. Explanation: I = V R = 72 . 4 V 71 . 7 Ω = 1 . 00976 A . 003 (part 3 of 4) 10.0 points In case 1, find the power dissipated in the resistance. Correct answer: 3 . 44303 W. Explanation: In case 1, P = I 2 rms R = (0 . 219135 A) 2 (71 . 7 Ω) = 3 . 44303 W . 004 (part 4 of 4) 10.0 points In case 2, find the power dissipated in the resistance.

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PhyIIHW8Solutions - hopkins(tlh982 HW08 criss(4908 This...

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