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Power Factor

The potential...

Question

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

A

0.8

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B

1.0

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C

0.4

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D

0.5

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Solution

The correct option is A $0.8$
Given, $V_{R} = 80 V, V_{L} = 100 V, V_{C} = 40 V$

As we know,
$tan ϕ = \frac{V_{L} - V_{C}}{V_{R}} = \frac{100 - 40}{80} = \frac{3}{4} \Rightarrow ϕ = 36.86 ° Power factor = cos ϕ = cos 36.86 ° = 0.8$

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