Respuesta :

Answer:

Power factor = 0.83

Explanation:

The power factor is basically a measure of how efficiently power is being used.

  • In case of purely resistive load, the power factor is 1.
  • In case of purely inductive or capacitive load, the power factor is 0.
  • In case of any combination of them the power factor is between 0 and 1.

Power factor can be calculated in many ways for example;

[tex]PF = cos(\theta)[/tex]

Where θ is the angle between voltage and current. in case of resistive load, voltage and current are "in phase" and there is 0 phase difference between them therefore, PF is 1 since cos(0) is 1.

[tex]PF = \frac{P}{S}[/tex]

Where P is real power or also known as true power with units of watts and S is the apparent power with units of Volt ampere VA.

[tex]PF = \frac{R}{Z}[/tex]

Where R is the resistance and Z is the impedance.

[tex]PF= \frac{100}{120}[/tex]

[tex]PF = 0.83[/tex]

Therefore, a circuit having a resistance of 100 Ω and impedance of 120 Ω has a power factor of 0.83.