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Question

In the circuit shown, resistance R=100Ω , inductance L=2πH and capacitance C=8πμ F are connected in series with an ac source of 200volt and frequency 'f '. If the readings of the hot wire voltmeters V1 and V2 are same then

A
f = 125 Hz
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B
f=250 πHz
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C
current through R is 2A
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D
V1=V2=1000 volt
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Solution

The correct options are
A f = 125 Hz
C current through R is 2A

D V1=V2=1000 volt
V1=V2XL=XC f=12πLC=25 Hz

I0=V0R=200100 X=0 Z=R

I0=2A

V1=V2=I=IωL=2×2π×125×2π=1000volt

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