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  • Give answer! A circuit has a resistance of 12 ohm and an impedance of 15 ohm. The power factor of the circuit will be

A circuit has a resistance of 12 ohm and an impedance of 15 ohm. The power factor of the circuit will be

  • Option 1)

    1.25

  • Option 2)

    0.125

  • Option 3)

    0.8

  • Option 4)

    0.4

 

Answers (1)

best_answer

As we learnt in 

R.L Circuit Voltage -

V_{R}= IR

V_{L}= {I}X_{L}

- wherein

 

 

Power factor -

\cos \phi = \frac{R}{\sqrt{R^{2}+X_{c}^{2}}}

-

Solution is correct

Capacitive current (C) Current -

{i}'= {i}'_{0}\sin \left ( \omega t+\frac{\pi }{2} \right )

- wherein

 

 

Inductive circuit (L) Current -

{i}'= {i}'_{0}\sin \left ( \omega t-\frac{\pi }{2} \right )

- wherein

Power\; factor\; cos\phi =\frac{R}{Z}=\frac{12}{15}=0.8

 


Option 1)

1.25

This option is incorrect

Option 2)

0.125

This option is incorrect

Option 3)

0.8

This option is correct

Option 4)

0.4

This option is incorrect

Posted by

Aadil

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