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An R-L-C circuit containing a 52Omega re...

An R-L-C circuit containing a `52Omega` resistor , a 230 mH inductor, and a 8.8`mu`F capacitor is driven by an AC voltage source that has an amplitude of 150 V and frequency f = 80 Hz . How much average power is dissipated by this circuit?

A

78.6 W

B

Zero

C

19.6 W

D

24.8 W

Text Solution

Verified by Experts

The correct Answer is:
A

`Z=sqrt((52)^(2)+[230xx10^(-3)xx2pixx80-1/(2pixx80xx8.8xx10^(-6))]^(2))`
`=122Omega`
`P=(V_(rms))/Z^(2). R=((150)/(122))^(2)(52)= 78.6`W
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