For an AC circuit, the voltage and the current are given as V = (100 + j10) V and I = (20 − j10) A, respectively. The active power of the circuit is:

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SSC JE Electrical 9 Oct 2023 Shift 3 Official Paper-I
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  1. P = 1000 W
  2. P = 1900 W 
  3. P = 1500 W
  4. P = 1800 W

Answer (Detailed Solution Below)

Option 2 : P = 1900 W 
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Detailed Solution

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Power in AC circuit

The active power is given by:

The reactive power is given by:

The apparent power is given by:

Calculation

Given, V = (100 + j10) V = 100.49∠5.71° 

I = (20 − j10) A = 22.36∠-26.56° 

P = 1900 W 

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