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 ZR , so () ( ) 22 208 40.0 204 L XZ R = −= Ω= Ω and 204 0.541 H 2 2 60.0 Hz L X L f ππ == = 21.30 (a) ( )( ) 2 2 60.0 Hz 0.100 H 37.7 L L Xf π =Ω -6 11 13 2 26 0 . 0 H z2 0 01 0 F C X fC = × .3 2 2 20.0 37.7 13.3 LC ZRXX =+− = + Ω 31.6 = 2 2 2 2 max max av rms 1 0 0 V 20.0 100 W 2 2 31.6 2 IV IR R R Z  = = =   P and 2 av rms rms rm srm s s s 20.0 cos 0.633 31.6 I R power factor R VI 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 X X Z =Ω=Ω =Ω= = P d power factor 21.31 (a) ( ) 2 av rms rms rms rms , rms R IRI IR I
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