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Conductivity and Resistivity

In an AC ci...

Question

In an $A C$ circuit, the reactance is equal to the resistance. The power factor of the circuit will be

A

1

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B

\frac{1}{2}

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C

\frac{1}{\sqrt{2}}

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D

zero

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Solution

The correct option is B $\frac{1}{\sqrt{2}}$
Given that,
Reactance (X) =Resistance (R)
$t a n ϕ$ = $\frac{X}{R}$
So, we have $ϕ$ = $\frac{π}{4}$
Power factor = $c o s ϕ$ = $\frac{1}{\sqrt{2}}$

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