A parallel RC circuit has a resistance of 7 ohm and a capacitive reactance of 10Ω. The applied voltage is 120 V. Calculate the real, reactive, and apparent power and the power factor

Question

A parallel RC circuit has a resistance of 7 ohm and a capacitive reactance of 10[latex]\Omega[/latex]. The applied voltage is 120 V. Calculate the real, reactive, and apparent power and the power factor.

Accepted Answer

[latex]P = V^2/R = 120^2/7 = 2057 W or 2.057 kW[/latex]

[latex]Q = V^2/X = 120^2/10 = 1440 VAR[/latex]

[latex]I_R = V/R = 120/7 = 17.14 A[/latex]

[latex]I_C = V/X_C = 120/10 = 12 A[/latex]

The total current is

[latex]I_T=\sqrt{I^2_R+I_X^2}=\sqrt{17.14^2+12^2}=20.93 A[/latex]

[latex]Z = V/I_T = 120/20.93 = 5.73 \Omega[/latex]

[latex]S = VI_T = 120 imes 20.93 = 2511.6 VA[/latex]

[latex]PF = P/S = 2057/2511.6 = 0.81[/latex]

Question 20.6: A parallel RC circuit has a resistance of 7 ohm and a capaci...

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