A series RLC circuit has an impedance of 120Ω and a resistance of 64Ω. What average power is delivered to this circuit when V_rms = 90 volts? A) 36 W B) 100 W C) 192 W D) 360 W E) 12 W

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Quizplus · Accepted Answer

The average power delivered to an RLC circuit can be calculated using the formula P = V^2 / R, where V is the RMS voltage and R is the resistance. Given V = 90 volts and R = 64Ω, P = (90^2) / 64 = 8100 / 64 = 126.5625 W. However, this calculation mistake led to an incorrect explanation. The correct approach to find the average power delivered to the circuit is by using the formula P = V_rms^2 / Z, where Z is the impedance. Since the impedance is given as 120Ω, not the resistance, the correct formula for power in terms of resistance (R) should be P = (V_rms^2 * R) / Z^2. Substituting the given values, P = (90^2 * 64) / 120^2 = 8100 * 64 / 14400 = 36 W.

A Series RLC Circuit Has an Impedance of 120Ω and a Resistance