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Question

A series LCR circuit is connected to an ac source of frequency f and a voltage v. At this frequency, reactance of the capacitor is 350 ohm while the resistance of the circuit is 180 ohm. Current in the circuit leads the voltage by 540 and power dissipated in the circuit is 140 watt, Therefore, voltage v is

A
250 volt
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B
260 volt
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C
270 volt
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D
280 volt
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Solution

The correct option is C 270 volt
Givenve=350Ωzcos54=Rz=Rcos54amdR=180ΩP=140WI2R=140I=140180Now,v=Izv=1418×Rcos54=1418×180cos54=1018×14cos54=270.12V.
1228291_1137143_ans_2a05b6b47a4046409960a0a82f1236b6.PNG

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