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Standard XII

Physics

Voltmeter

The power fac...

Question

The power factor in a circuit connected to an AC. The value of power factor is

unity when the circuit contains an ideal inductance only

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unity when the circuit contains an ideal resistance only

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zero when the circuit contains an ideal resistance only

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unity when the circuit contains an ideal capacitance only

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Solution

The correct option is B unity when the circuit contains an ideal resistance only
$cos ϕ = \frac{R}{Z}$ , where $Z$ is the impedence and
$Z = \sqrt{R^{2} + {(X_{L} - X_{C})}^{2}}$

If there is only resistance then $Z = R \Rightarrow cos ϕ = 1$

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The power factor in a circuit connected to an AC. The value of power factor is

The correct option is B unity when the circuit contains an ideal resistance onlycosϕ=RZ, where Z is the impedence andZ=√R2+(XL−XC)2 If there is only resistance then Z=R⇒cosϕ=1

The correct option is B unity when the circuit contains an ideal resistance only
$cos ϕ = \frac{R}{Z}$ , where $Z$ is the impedence and
$Z = \sqrt{R^{2} + {(X_{L} - X_{C})}^{2}}$

If there is only resistance then $Z = R \Rightarrow cos ϕ = 1$