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18_Ch 21 College Physics ProblemCH21 Alternating Current Circuits and Electromagnetic Waves

18_Ch 21 College Physics ProblemCH21 Alternating Current Circuits and Electromagnetic Waves

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218 CHAPTER 21 (a) At resonance, 0 -6 1 3.00 H 1 000 3.00 10 F C L L L L C LC ω = = = = = = × X X Thus, 2 2 0 Z R = + = R , rms rms 120 V 4.00 A 30.0 V I Z = = = ( ) ( ) and 2 4.00 A 30.0 480 W Ω = 2 av rms I R = = P (b) At 0 2 1 ω ω = ; ( ) 0 1 500 2 L L X X ω = = , ( ) 0 2 2 00 C C X X ω 0 = = ( ) ( ) ( ) 2 2 2 2 30.0 500 2 000 1 500 L C Z R X X = + = + Ω − = and rms 120 V 0.080 0 A 1 500 I = = ( so ) ( ) 2 2 av rms 0.080 0 A 30.0 0.192 W I R = = Ω = P (c) At 0 1 4 ω ω = ; ( ) 0 1 250 4 L L X X ω = = , ( ) 0 4 4 00 C C X X ω 0 = = , and 3 750 Z = rms 120 V 0.032 0 A 3 750 I = = so
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