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  4. The potential differences across the resistance, capacitance and inductance are 80 V, 40 V and 100 V respectively in an L-C-R circuit . The power factor of this circuit is

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Q. The potential differences across the resistance, capacitance and inductance are $80\, V$, $40\, V$ and $100\, V$ respectively in an $L-C-R$ circuit . The power factor of this circuit is

NEETNEET 2016Alternating Current

Solution:

$\cos\phi = \frac{V_{R}}{V_{net}} = \frac{V_{R}}{\sqrt{\left(V_{L} - V_{C}\right)^{2} + V_{R^{2}}}} $
$ = \frac{80}{ \sqrt{\left(100-40\right)^{2} + 80^{2}}} = \frac{80}{100} = 0.8$