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Question

In a RLC series circuit shown, the reading of voltmeter V1 and V2 are 100 V and 120 V respectively. Choose the correct statement.

A
Voltage across resistor, inductor and capacitor are 60 V,86.6 V and 206.6 V respectively
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B
Voltage across resistor, inductor and capacitor are 10 V,90 V and 30 V 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)
VLVC = 120 ....(ii)
V2R+(VLVC)2=(130)2=16900 ....(iii)
On solving
VR= 50 V, VL=86.6 V, VC=206.6 V
and cos(ϕ)=VRV = 50130 = 513
As Vc>VL, circuit is capacitive in nature.

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