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15_Ch 21 College Physics ProblemCH21 Alternating Current Circuits and Electromagnetic Waves

# 15_Ch 21 College Physics ProblemCH21 Alternating Current Circuits and Electromagnetic Waves

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Alternating Current Circuits and Electromagnetic Waves 215 (c) 2 L X = + 2 Z R , so ( ) ( ) 2 2 2 2 208 40.0 204 L X Z R = = = and ( ) 204 0.541 H 2 2 60.0 Hz L X L f π π = = = 21.30 (a) ( )( ) 2 2 60.0 Hz 0.100 H 37.7 L L X f π π = = = ( ) ( ) -6 1 1 13 2 2 60.0 Hz 200 10 F C X fC π π = = = × ( ) .3 ( ) ( ) 2 2 20.0 37.7 13.3 L C Z R X X = + = + Ω − 2 2 31.6 = ( ) 2 2 2 2 max max av rms 1 1 100 V 20.0 100 W 2 2 31.6 2 I V I R R R Z = = = = Ω = P and 2 av rms rms rms rms rms rms rms 20.0 cos 0.633 31.6 I R I R power factor R V I V I V Z φ = = = = = = = P (b) The same calculations as shown in Part (a) above, with 50.0 Hz f = , give av 31.4 , 15.9 , 25.3 , 156 W an 0.790 L C X X Z = = = = = P d power factor
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