An ac series circuit consists of a voltage source of frequency f = 60 Hz and...

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Question

An ac series circuit consists of a voltage source of frequency f = 60 Hz and...

An ac series circuit consists of a voltage source of frequency f = 60 Hz and voltage amplitude V, a resistor of resistance 163 ohms and a capacitor of capacitance C= 6.2x10^-6 F.

What must the source voltage amplitude V be for the average electrical power consumed in the resistor to be 529 watts? There is no inductance in the circuit.

Answer is 1200 V.

Please show work. Thank you in advance! Will Thumbs up! Please help!

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Answer 1

Answer #1

Voltage, V = sqrt[2W {(R^2 + (1/wC)^2)/R}]

V = sqrt[2 x 529{163^2 + (1/2 pi x 60 x 6.2 x 10^-6)^2)/163}]

V = 1186 V ~ 1200 V

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Answer 2

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