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  • Need clarity, kindly explain! 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

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

  • Option 1)

    0.4

  • Option 2)

    0.5

  • Option 3)

    0.8

  • Option 4)

    1.0

 

Answers (1)

best_answer

VR = 80 V, VC = 40V, VL = 100V 

Power factor, cos\phi =\frac{R}{Z}=\frac{V_{R}}{\sqrt{V_{R}^{2}+(V_{L}-V_{C})^{2}}}

= \frac{80}{\sqrt{(80)^{2}+(100-40)^{2}}}=\frac{80}{100}=0.8


Option 1)

0.4

this is the incorrect option

Option 2)

0.5

this is the incorrect option

Option 3)

0.8

this is the correct option

Option 4)

1.0

this is the incorrect option

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Plabita

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