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Q.

The power factor of an LR ac circuit is 12 and resistance of the circuit is R. The reactance of a capacitor should be connected in series in this circuit so that the power factor of the circuit will become one..

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answer is 2.

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Detailed Solution

if power factor of a LR circuit is 12 then phase angle is 450cosϕ=RZand    tanϕ=XLR i.e, XL=Rwhen power factor is unity circuit is in resonance XL=Xcbut XL=R so Xcis also equal to R
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The power factor of an LR ac circuit is 12 and resistance of the circuit is R. The reactance of a capacitor should be connected in series in this circuit so that the power factor of the circuit will become one..