A 2700 ohm resistor and a 1.1uF capacitor are conn

Question

A 2700 ohm resistor and a 1.1uF capacitor are connected in series across a generator (60 Hz, 120 V). Determine the average power consumed in the circuit. a.) 3W b.) 9W c.) 10W d.) 7W

Arun · Accepted Answer

Dear Sarthak X_C = 1/(2&pi; f C) = 1/(2&pi; 60Hz * 1.1 * 10^[-6]) = 2411&Omega; Z = √ (R^2 + X_C^2) = √ ([2700&Omega;]^2 + [2411&Omega;]^2) = 3620&Omega; I = V_S/Z = 120V/3620&Omega; = 33.1mA Now there are three powers in this circuit. Real power across resistor, reactive power across capacitor and apparent power source delivers. Real P = I^2 R = (33.1mA)^2 * 2700&Omega; = 2.97W --- this is probably your answer Reactive Q_C = I^2 X_C = (33.1mA)^2 * 2411&Omega; = 2.65VAR Apparent S = I^2 Z = (33.1mA)^2 * 3620&Omega; = 3.98V&bull;A Regards Arun (askIITians forum expert)

Electric Current> A 2700 ohm resistor and a 1.1uF capacitor...

A 2700 ohm resistor and a 1.1uF capacitor are connected in series across a generator (60 Hz, 120 V). Determine the average power consumed in the circuit. a.) 3W b.) 9W c.) 10W d.) 7W

Sarthak Khandelwal , 7 Years ago

Arun

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Electric Current> A 2700 ohm resistor and a 1.1uF capacitor...

A 2700 ohm resistor and a 1.1uF capacitor are connected in series across a generator (60 Hz, 120 V). Determine the average power consumed in the circuit. a.) 3W b.) 9W c.) 10W d.) 7W

Sarthak Khandelwal , 7 Years ago

Arun

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