In a R−L−C series circuit shown, the reading of voltmeter V1 and V2 are 100V and 120V respectively. Choose the correct statement.
A
Voltage across resistor, inductor and capacitor are 60V,86.6V and 206.6V respectively
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B
Voltage across resistor, inductor and capacitor are 10V,90V and 30V respectively
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C
Power factor of the circuit is 513
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D
Power factor of the circuit is 713
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Solution
The correct option is C Power factor of the circuit is 513 V2R+V2L=10000....(i) VL−VC=120....(ii) V2R+(VL−VC)2=(130)2=16900....(iii)
On solving VR= 50V, VL=86.6V, VC=206.6V
and cos(ϕ)=VRV=50130=513
As Vc>VL,circuit is capacitive in nature.