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14_Chapter 21 HomeworkCH21 Alternating Current Circuits and Electromagnetic Waves

14_Chapter 21 HomeworkCH21 Alternating Current Circuits and Electromagnetic Waves

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214 CHAPTER 21 (d) 9.15 bd L C X = = Z X , so ( ) ( )( ) rms rms 2.585 A 9.15 23.6 V bd bd V I Z = = Ω = 21.28 (a) ( ) ( ) 6 1 1 88.4 2 2 60.0 Hz 30.0 10 F C X f C π π = = = × ( ) ( ) 2 2 2 2 50.0 88.4 102 C Z R X = + = + = rms rms 100 V 0.984 A 102 V I Z = = = 1 1 0 88.4 tan tan 60.5 50.0 C X R φ = = = − ( ) ° and cos cos 60.5 0.492 power factor φ = = ° = ( ) ( )( )( ) av rms rms cos 100 V 0.984 A 0.492 V I φ = ∆ = P 48.5 W = (b) ( )( ) 2 2 60.0 Hz 0.300 H 113 L L X f π π = = = ( ) ( ) 2 2 2 2 50.0 113 124 L Z R X = + = + = rms rms 100 V 0.809 A 124 V I Z = = = 1 1 0 113 tan tan 66.1 50.0 C X R φ
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