Calculate the apparent power of a circuit if the circuit has a power factor of 0.8 and the active power of the circuit is 40 W.

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SSC JE Electrical 9 Oct 2023 Shift 3 Official Paper-I
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  1. 50 VA
  2. 100 VA
  3. 75 VA
  4. 40 VA

Answer (Detailed Solution Below)

Option 1 : 50 VA
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Detailed Solution

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Power Triangle

F1 Vinanti Engineering 22.03.23 D5

The power factor is given by:

\(cosϕ={P\over S}\)

where, cosϕ = Power factor

P = Active power

Q = Reactive power

Calculation

Given, cosϕ = 0.8

P = 40 kW

\(S={40\over 0.8}\)

S = 50 VA

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