22_InstSolManual_PDF_Part9

# 22_InstSolManual_PDF_Part9 - 5 30 V v 5 v 2 5 6.65 3 10 3...

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22.21. Set Up: The resonance angular frequency is the angular frequency for which the reactance of the inductor equals the reactance of the capacitor. Solve: (a) says and (b) The resonance frequency is the frequency calculated in part (a), 21.22. Set Up: The minimum value of Z is R and it has this value at the resonance frequency, since at the resonance frequency Solve: (a) (b) 22.23. Set Up: At resonance, Solve: (a) (b) Reflect: At the resonance frequency and the impedance Z has its maximum value, Since at resonance I has its maximum value. 22.24. Set Up: The resonance angular frequency is and At the resonance frequency and Solve: (a) (b) (c) , the same value as in part (b). 22.25. Set Up: At resonance, Solve: (a) (b) Reflect: The voltage amplitude for the capacitor is more than a factor of 10 times greater than the voltage amplitude of the source. V 5 1 550 V 5.41 3 10 3 V 2 1 400 V 2 5 40.7 V. X C 5 1 v C 5 1 1 1.54 3 10 4 rad / s 21 0.0120 3 10 2 6 F 2 5 5.41 3 10 3 V . V 5 IZ 5 1 V C X C 2 Z 5 1 V C X C 2 R . v 0 5 1 " LC 5 1 "1 0.350 H 21 0.0120 3 10 2 6 F 2 5 1.54 3 10 4 rad / s Z 5 R . V 5 IZ . V C 5 IX C . v 0 5 1 " LC . Z 5 "1 115 V 2 2 1 1 30 V2 120 V 2 2 5 146 V X C 5 1 v C 5 120 V . X L
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Unformatted text preview: 5 30 V . v 5 v / 2 5 6.65 3 10 3 rad / s. Z 5 "1 115 V 2 2 1 1 120 V 2 30 V 2 2 5 146 V X C 5 1 v C 5 1 1 2.66 3 10 4 rad / s 21 1.25 3 10 2 6 F 2 5 30 V X L 5 v L 5 1 2.66 3 10 4 rad / s 21 4.50 3 10 2 3 H 2 5 120 V . v 5 2 v 5 2.66 3 10 4 rad / s. v 5 1 "1 4.50 3 10 2 3 H 21 1.26 3 10 2 6 F 2 5 1.33 3 10 4 rad / s. Z 5 R 5 115 V Z 5 R . X L 5 X C " R 2 1 1 X L 2 X C 2 2 . Z 5 X C 5 1 v C X L 5 v L . v 5 1 " LC . I 5 V Z , Z 5 R . X L 5 X C Z 5 R 5 138 V L 5 1 C v 2 5 1 1 10.5 3 10 2 6 F 21 1525 rad / s 2 2 5 0.0410 H 5 41.0 mH Z 5 R . v 5 Å 1 LC . Z min 5 R 5 75.3 V v 5 v 5 1 " LC 5 1 "1 21.2 3 10 2 3 H 21 7.50 3 10 2 6 C 2 5 2.51 3 10 3 rad / s X L 5 X C . Z 5 " R 2 1 1 X L 2 X C 2 2 . v 5 4.47 3 10 3 rad / s. v 5 1 " LC 5 1 "1 10.0 3 10 2 3 H 21 5.00 3 10 2 6 F 2 5 4.47 3 10 3 rad / s. v L 5 1 v C X L 5 X C X C X L Alternating Current 22-9...
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