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Power in a three-phase star connected balanced inductive load is measure by two wattmeter method. The phase voltage and phase current are 200 V and 10 A, respectively. The power-factor of load is 0.5. The readings P1 and P2 of the two wattmeter’s are
  • a)
     P1 = 3 kW, P2 = 6 kW
  • b)
     P1 = 0 kW, P2 = 6 kW
  • c)
     P1 = 2 kW, P2 = 6 kW
  • d)
     P1 = 0 kW, P2 = 3 kW
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Power in a three-phase star connected balanced inductive load is measu...
Given that,
Phase voltage (Vph) = 200 V
Phase current (Iph) = 10 A
Power factor = cos ϕ = 0.5
⇒ ϕ = cos-1 (0.5) = 600
In two wattmeter method,
W1 = VLIL cos (30 + ϕ)
And
W2 = VLIL cos (30 – ϕ)
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Most Upvoted Answer
Power in a three-phase star connected balanced inductive load is measu...
The power factor (PF) is given by the formula:

PF = (P1 - P2) / (P1 + P2)

We know that the power factor is 0.5, so we can substitute this value into the formula:

0.5 = (P1 - P2) / (P1 + P2)

Multiplying both sides of the equation by (P1 + P2), we get:

0.5(P1 + P2) = P1 - P2

Expanding the left side of the equation, we get:

0.5P1 + 0.5P2 = P1 - P2

Rearranging the equation, we get:

P1 + 2P2 = 2P1

Subtracting P1 from both sides, we get:

P2 = P1

Therefore, the readings of the two wattmeters (P1 and P2) are equal.
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Power in a three-phase star connected balanced inductive load is measure by two wattmeter method. The phase voltage and phase current are 200 V and 10 A, respectively. The power-factor of load is 0.5. The readings P1and P2of the two wattmeter’s area)P1= 3 kW, P2= 6 kWb)P1= 0 kW, P2= 6 kWc)P1= 2 kW, P2= 6 kWd)P1= 0 kW, P2= 3 kWCorrect answer is option 'D'. Can you explain this answer?
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