PhysicsThe 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

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
0.4
B
0.5
C
0.8
D
1.0

Solution:

Power factor $\cos ϕ = \frac{R}{Z} = \frac{IR}{IZ}$
$\begin{array}{l} \cos ϕ = \frac{IR}{\sqrt{I^{2} R^{2} + {({IX}_{L} - {IX}_{C})}^{2}}} \\ c = \frac{V_{R}}{\sqrt{V_{R}^{2} + {(V_{L} - V_{C})}^{2}}} \\ = \frac{80}{\sqrt{(100 - 40)^{2} + 80^{2}}} = 0.8 \end{array}$

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