Which of the following statements is NOT correct about active power in an AC circuit?

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SSC JE Electrical 9 Oct 2023 Shift 3 Official Paper-I
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  1. Active power is the power dissipated in the pure inductance.
  2. Active power can be measured in terms of kilo watt.
  3. Active power is the power dissipated in the pure resistance. 
  4. Active power depends on power factor.

Answer (Detailed Solution Below)

Option 1 : Active power is the power dissipated in the pure inductance.
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Detailed Solution

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Power in an electrical circuit

1.) Active Power: 

\(P=VIcos\phi\)

Active power is the power dissipated in the pure resistance. It is measured in terms of kilowatts (kW).

2.) Reactive Power:

\(Q=VIsin\phi\)

Reactive power is the power dissipated in the pure inductor or capacitor. It is measured in terms of Var.

3.) Apparent Power:

\(S=\sqrt{P^2+Q^2}\)

It is measured in KVA.

 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

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