The equation for active power in a three-phase star connected circuit is:

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SSC JE Electrical 15 Nov 2022 Shift 2 Official Paper
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  1. P = VL IL sin ϕ 
  2. P = 3VL IL sin ϕ 
  3. P = 3VL IL cos ϕ 
  4. P = VL IL cos ϕ 

Answer (Detailed Solution Below)

Option 4 : P = VL IL cos ϕ 
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Detailed Solution

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Power in 3ϕ circuit:

Case 1: In star connection

The active power is given by:

The reactive power is given by:

The apparent power is given by:

Case 2: In delta connection

The active power is given by:

The reactive power is given by:

The apparent power is given by:

Here, VL and Iare line voltage and line current

Vp and Ip are phase voltage and phase current

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