22_InstSolManual_PDF_Part1

22_InstSolManual_PDF_Part1 - ALTERNATING CURRENT 22 8. A 9....

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Unformatted text preview: ALTERNATING CURRENT 22 8. A 9. D 10. C 11. C 12. B, C, D 13. C, D 14. D 15. D Answers to Multiple-Choice Problems 1. D 2. D 3. A 4. E 5. A 6. D 7. B Solutions to Problems 22.1. Set Up: Irms 5 I / "2 . I is the current amplitude, the maximum value of the current. Solve: I 5 1.50A gives Irms 5 5 1.06 A. "2 Reflect: The current amplitude is larger than the root-mean square current. 1.50 A 22.2. Set Up: The specified value is the root-mean-square current; Irms 5 0.34 A. i 5 I cos v t and Irms 5 I / "2 . (a) Irms 5 0.34 A (b) I 5 "2Irms 5 "2 1 0.34 A 2 5 0.48 A. (c) Since the current is positive half of the time and negative half of the time, its average value is zero. (d) Since Irms is the square root of the average of i 2, the average square of the current is Irms2 5 1 0.34 A 2 2 5 0.12 A 2. 22.3. Set Up: The reactance of an inductor is XL 5 v L 5 2p fL. The reactance of the capacitor is XC 5 The frequency f is in Hz. Solve: (a) X L 5 2p f 5 2p 1 80.0 Hz 2 1 3.00 H 2 5 1.51 3 103 V XL 120 V (b) L 5 5 5 0.239 H 2p f 2p 1 80.0 Hz 2 (c) X C 5 1 1 . 5 vC 2p fC 1 1 5 5 497 V 2p fC 2p 1 80.0 Hz 2 1 4.00 3 1026 F 2 1 1 (d) C 5 5 5 1.66 3 1025 F 5 16.6 mF 2pf XC 2p 1 80.0 Hz 2 1 120 V 2 Reflect: X C decreases when C increases; X L increases when L increases. 22.4. Set Up: The reactance of an inductor is XL 5 v L 5 2p fL. The reactance of a capacitor is XC 5 1 1 5 . vC 2p fC The frequency f is in Hz. (a) At 60.0 Hz, X L 5 2p 1 60.0 Hz 2 1 0.450 H 2 5 170 V . X L is proportional to f so at 600 Hz, X L 5 1700 V . 22-1 ...
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This note was uploaded on 03/06/2009 for the course PHYS 114 taught by Professor Shoberg during the Spring '07 term at Pittsburg State Uiversity.

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