First slide

Power in a.c. circuit

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 :

Moderate

A

0.8
B

1.0
C

0.4
D

0.5

Solution

$tanϕ= \frac{V_{L} - V_{C}}{V_{R}} = \frac{100 - 40}{80} = \frac{3}{4} or ϕ = 37^{o}$
Power factor = cos $ϕ$ = cos 37° = $\frac{4}{5}$ or 0.8

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