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The power factor of a series RL circuit is 12 . If the frequency of the applied ac is doubled, the power factor become. 

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a
13
b
15
c
17
d
111

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detailed solution

Correct option is B

cosϕ=RZ=RR2+L2ω212=R2R2+Xc2  Xc=Rcosϕ1=RR2+(2Xc)2=R5R2


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