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Question

In a RLC series circuit shown, the readings of voltmeters V1 and V2 are 100V and 120V. Choose the correct statement(s).

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A
Voltage across resistor, inductor and capacitor are 50V,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
Circuit is capacitive in nature.
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Solution

The correct options are
A Voltage across resistor, inductor and capacitor are 50V,86.6V and 206.6V respectively.
B Power factor of the circuit is 513.
C Circuit is capacitive in nature.
V2R+V2L=100 .........(i)
VLVC=120 .............(ii)
V2R+(VLVC)2=130 ...........(iii)
Solving these three equations we get,
VR=50V,VL=86.6V and VC=206.6V
Power factor =cosϕ=RZ=VRV=50130=513
Since VC>VL, circuit is capacitive in nature.

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