19_Chapter 21 HomeworkCH21 Alternating Current Circuits and Electromagnetic Waves

# 19_Chapter 21 HomeworkCH21 Alternating Current Circuits and Electromagnetic Waves

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Alternating Current Circuits and Electromagnetic Waves 219 (e) At 4 0 ω = ; ( ) 0 44 0 0 LL XX == 0 , ( ) 0 1 250 4 CC = =Ω , and 3750 Z = rms 120 V 0.032 0 A 3750 I so ( ) () 2 22 0.032 0 A 30.0 3.07 10 W 30.7 mW = av rms P IR The power delivered to the circuit is a maximum when the rms current is a maximum. This occurs when the frequency of the source is equal to the resonance frequency of the circuit. 21.37 ( ) 00 36 11 21 10.0 10 H 100 10 F f LC ωπ −− == = = ×× 0 0 0 r a d s Thus, 0 0 0 0 r a d s ( )( ) 3 2 000 rad s 10.0 10 H 20.0 L XL × = Ω 6 5.00 2 000 rad s 100 10 F C X C × ( ) 2 2 10.0 20.0 5.00 18.0 LC ZRXX =+− = + Ω −Ω = rms rms 50.0 V 2.77 A 18.0 V I Z 2 2 av rms 2.77 A
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