13_Ch 21 College Physics ProblemCH21 Alternating Current Circuits and Electromagnetic Waves

13_Ch 21 College Physics ProblemCH21 Alternating Current Circuits and Electromagnetic Waves

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Alternating Current Circuits and Electromagnetic Waves 213 21.26 (a) ( )( ) 4 2 2 100 Hz 20.5 H 1.29 10 L Xf L ππ == = × rms rms 200 V 50.0 4.00 A V Z I == =Ω Thus, () 22 50.0 35.0 LC XX ZR −= ± −= ± 35.7 CL 35.7 = ± and or 4 1 1.29 2 fC π 35.7 = ×Ω ± This yields 4 1 2 100 Hz 1.29 C 123 nF or 124 n 35.7 ± F ±²²³´ µ²²³¶· ± ¸¹º²³ ± ±²º¹³¶ (b) 2 2 4 rms rms 4 4.00 A 50.0 1.29 5.15 10 V 51.5 kV coil L coil VI Z I R X ∆= = + = + × = Notice that this is a very large voltage! 21.27 ( )( ) 2 2 50.0 Hz 0.185 H 58.1 L L =Ω 6 11 2 2 50.0 Hz 65.0 10 F C X × 49.0 = ( ) 2 2 40.0 58.1 49.0 ad L C ZRX X =+− = + Ω
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