Exercise 31.24 An L-R-C series circuit is connected to a120?Hz ac source that ha

Question

Exercise 31.24

An L-R-C series circuit is connected to a120?Hz ac source that has vrms = 74.0V . The circuit has a resistance of 79.0? and an impedance at this frequency of 109? .

Part A

What average power is delivered to the circuit by the source?

Exercise 31.24

An L-R-C series circuit is connected to a120?Hz ac source that has vrms = 74.0V . The circuit has a resistance of 79.0? and an impedance at this frequency of 109? .

Part A

What average power is delivered to the circuit by the source?

Explanation / Answer

Average power Pavg = (Vo^2)/(2*R)

Given that Vrms = 74 V

But Vo = sqrt(2)*Vrms = 1.414*74 = 104.636 V

resisatnce R = 79 ohm

Pavg = (Vo^2)/(2*R) = 104.636^2/(2*79) = 69.3 W

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