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  4. the power factor of a series L-C-R circuit when at resonance is

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Q. the power factor of a series L-C-R circuit when at resonance is

Rajasthan PMTRajasthan PMT 2007Alternating Current

Solution:

Average power of circuit is given by
$P=E_{ rms } \times i_{ rms } \times \cos \phi$
In a series LCR circuit at resonance voltage and current being in same phase, therefore $\phi=0$.
Hence, power factor $=\cos \phi=\cos 0^{\circ}=1$