22_InstSolManual_PDF_Part15 - Alternating Current 22-15"LC...

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22.37. Set Up: The resonance angular frequency is and the resonance frequency is Solve: (a) (or ) depends only on L and C so change these quantities. (b) To double decrease L and C by multiplying each of them by 22.38. Set Up: The capacitance of an air-filled parallel plate capacitor is The inductance of a long solenoid was calculated in Problem 37 of Chapter 21 to be The coil has The resonance frequency is Solve: 22.39. Set Up: Solve: (a) and At angular frequency (b) At angular frequency Reflect: When increases, increases and decreases. When decreases, decreases and increases. 22.40. Set Up: (a) so and reads reads reads reads reads (b) so and reads reads reads reads reads V rms 5 21.2 V. V 5 0 27.6 V 2 11.5 V 0 5 16.1 V. 0 V L ,rms 2 V C ,rms 0 5 V 4 V C ,rms 5 11.5 V. V 3 V L ,rms 5 27.6 V. V 2 V R ,rms 5 13.8 V. V 1 I rms 5 V rms Z 5 21.2 V 307 V 5 0.0691 A. Z 5 " 1 200 V 2 2 1 1 400 V 2 167 V 2 2 5 307 V . X C 5 1 v C 5 833 V 5 5 167 V . X L 5 v L 5 1 5 21 80.0 H 2 5 400 V v 5 1000 rad / s V rms 5 21.2 V. V 5 P V L 2 V C " 2 P 5 0 V L ,rms 2 V C ,rms 0 5 0 2.18 V 2 22.7 V 0 5 20.5 V.
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