Part 1: An L-R-C series circuit is connected to a 120 ? H z ac source that has v

Question

Part 1:

An L-R-C series circuit is connected to a 120

?Hz ac sourcethat has vrms = 79.0V . The circuit has a resistance of 76.0?and an impedance at this frequency of 110? .

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

Part 2:

A resistor with 325? and an inductor are connected in series across an ac source that has voltage amplitude 520V . The rate at which electrical energy is dissipated in the resistor is 234W .

A. What is the impedance

Z of the circuit?

B. What is the amplitude of the voltage across the inductor?

C. What is the power factor?

Explanation / Answer

Part 1

A. Average power, P = Vrms^2/Z

P = 79^2/110 = 56.74 W

Part 2:

A. Vrms = V/1.414 = 520/1.414 = 367.7 V

P = 234 = Vrms^2/ Z

Z = 367.7^2 / 234 = 577.78 ohm

B. Reactance of inductor = (Z^2 - R^2)^.5

X = 477.71 ohm

Voltage across inductor = VX/Z

= 429.93 V

C. Power Factor = X/R = 1.47

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