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Q.

In an LCR series circuit, the reading of ideal voltmeters  V1 and  V2 are 202  volt and 15 volts respectively as shown in the figure (the given circuit is inductive in nature). Then

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a

The voltage across resistor is 20 volts.

b

The voltage across inductor is 20 volts

c

The voltage across capacitor is 5 volts

d

The power factor of the circuit is 35

answer is A.

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Detailed Solution

VR2+VL2=V12=(202)2=800......(i)​VL−VC=V2=15   .........(ii)​VR2+(VL−VC)2=25​⇒VR2+225=625⇒VR=20V∴400+VL2=800⇒VL=20V∴VC=5VPower factor=cosϕ=RZ or VRV=2025=45
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In an LCR series circuit, the reading of ideal voltmeters  V1 and  V2 are 202  volt and 15 volts respectively as shown in the figure (the given circuit is inductive in nature). Then