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Question

What is the significance of the rms value in specifying AC quantities?

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Explanation

**Average power** in resistor P_avg = V_rms I_rms = V_rms²/R = I_rms² R, for 254.6 V peak, V_rms =180 V, R=90 Ω, P=180²/90=360 W, for 226.3 V peak, V_rms=160 V, R=80 Ω, P=320 W, illustrating rms use for power. The rms (root mean square) value of an AC quantity (e.g., voltage or current) is the equivalent DC value that produces the same average power in a resistive load. It accounts for the time-varying nature of AC, making it a standard measure for power calculations. Applying X_L = ωL, X_C = 1/ωC, Z = √(R² + (X_L - X_C)²), I_rms = V_rms/Z, P = V_rms I_rms

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