Question

The conductance and inductive susceptance of a circuit have the same
magnitude. The power factor of the circuit is..​

Answer 1

Answer:

What is the power factor of a circuit if the inductive susceptance and conductance have the same value? Solution: 405.

Step-by-step explanation:

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Answer 2

Answer: Power factor of the circuit is  $\frac{1}{\sqrt{2} }$  

Step-by-step explanation:

Conductance of circuit = $\frac{1}{R}$

Inductive susceptance of a circuit = $wL$

According to question,

R = 1/wL

Magnitude of impedance of circuit ⇒ |Z| =  $\sqrt{R^{2} +( \frac{1}{wL} )^{2} }$

|Z| =  $\sqrt{R^{2} +R^{2} }$  = R$\sqrt{2}$

Power Factor =  $\frac{R}{|Z|}$

Power Factor  = R/R$\sqrt{2}$

Power Factor  = $\frac{1}{\sqrt{2} }$ = 0.707

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