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When two wattmeter method of measurement of power is used to measure power in abalanced 3-f circuit, if one wattmeter reading is zero, then
  • a)
    power consumed in the circuit is zero
  • b)
    power factor of the circuit is zero
  • c)
    power factor is unity
  • d)
    power factor is 0.5
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
When two wattmeter method of measurement of power is used to measure p...
Explanation:

Two Wattmeter Method:
- The two wattmeter method is used to measure power in a 3-phase balanced circuit.
- In a balanced system, the sum of the readings of the two wattmeters is equal to the total power consumed by the circuit.

Zero Reading in One Wattmeter:
- If one of the wattmeter readings is zero, it indicates that the power factor of the circuit is not unity.
- When one wattmeter reading is zero, the power factor of the circuit can be calculated using the formula:
Power Factor (PF) = (W1 - W2) / (W1 + W2)
where W1 and W2 are the readings of the two wattmeters.

Calculation:
- If one of the wattmeter readings is zero, let's say W2 = 0.
- Substituting this in the formula, we get:
Power Factor (PF) = (W1 - 0) / (W1 + 0) = W1 / W1 = 1
- Therefore, the power factor of the circuit is unity when one wattmeter reading is zero.

Conclusion:
- In the given scenario, when one wattmeter reading is zero, the power factor of the circuit is unity (1).
- The power factor being unity means that the phase angle between voltage and current is zero, indicating a purely resistive load.
- The power consumed in the circuit may not be zero, but the power factor is unity when one wattmeter reading is zero.
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When two wattmeter method of measurement of power is used to measure power in abalanced 3-f circuit, if one wattmeter reading is zero, thena)power consumed in the circuit is zerob)power factor of the circuit is zeroc)power factor is unityd)power factor is 0.5Correct answer is option 'D'. Can you explain this answer?
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