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Measurement of power of a 3-phase balanced load is done using the wattmeter method. If the ratio of the wattmeter readings is 2 : 1 then the power factor of the circuit will be:
- a)0.0
- b)1.0
- c)0.5
- d)0.866
Correct answer is option 'D'. Can you explain this answer?
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Measurement of power of a 3-phase balanced load is done using the watt...
Calculation of Power Factor:
1. **Given Data:**
- Ratio of Wattmeter readings = 2 : 1
2. **Formula:**
- Power factor (PF) = cos(θ) = P/S
3. **Explanation:**
- The ratio of the wattmeter readings is directly proportional to the active power (P) in a 3-phase balanced load circuit.
- Let's assume the wattmeter readings are 2W and W (2:1 ratio).
- The total power (S) in a 3-phase circuit is given by S = √3 * V * I, where V is the line voltage and I is the line current.
- Therefore, the power factor (PF) can be calculated as PF = (2W + W) / (√3 * V * I)
- Simplifying the expression, PF = 3W / (√3 * V * I) = 3 / (√3 * V * I / W)
- As per the given ratio, W = 1 and 2W = 2.
- Substituting the values, PF = 3 / (2 * √3 * V * I) = 0.866
4. **Conclusion:**
- The power factor of the circuit is 0.866 (approximately) when the ratio of wattmeter readings is 2 : 1.
1. **Given Data:**
- Ratio of Wattmeter readings = 2 : 1
2. **Formula:**
- Power factor (PF) = cos(θ) = P/S
3. **Explanation:**
- The ratio of the wattmeter readings is directly proportional to the active power (P) in a 3-phase balanced load circuit.
- Let's assume the wattmeter readings are 2W and W (2:1 ratio).
- The total power (S) in a 3-phase circuit is given by S = √3 * V * I, where V is the line voltage and I is the line current.
- Therefore, the power factor (PF) can be calculated as PF = (2W + W) / (√3 * V * I)
- Simplifying the expression, PF = 3W / (√3 * V * I) = 3 / (√3 * V * I / W)
- As per the given ratio, W = 1 and 2W = 2.
- Substituting the values, PF = 3 / (2 * √3 * V * I) = 0.866
4. **Conclusion:**
- The power factor of the circuit is 0.866 (approximately) when the ratio of wattmeter readings is 2 : 1.
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Community Answer
Measurement of power of a 3-phase balanced load is done using the watt...
Concept:
In a two-wattmeter method,
The reading of first wattmeter (W1) = VL IL cos (30 – ϕ)
The reading of second wattmeter (W2) = VL IL cos (30 + ϕ)
Total power in the circuit (P) = W1 + W2
Total reactive power in the circuit Q = √3(W1−W2)
Power factor = cos ϕ
Calculation:
Given that, W1 / W2 = 2 : 1
ϕ = 30°
ϕ = 30°
cosϕ = 0.866
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Measurement of power of a 3-phase balanced load is done using the wattmeter method. If the ratio of the wattmeter readings is 2 : 1 then the power factor of the circuit will be:a)0.0b)1.0c)0.5d)0.866Correct answer is option 'D'. Can you explain this answer?
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Measurement of power of a 3-phase balanced load is done using the wattmeter method. If the ratio of the wattmeter readings is 2 : 1 then the power factor of the circuit will be:a)0.0b)1.0c)0.5d)0.866Correct answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Measurement of power of a 3-phase balanced load is done using the wattmeter method. If the ratio of the wattmeter readings is 2 : 1 then the power factor of the circuit will be:a)0.0b)1.0c)0.5d)0.866Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Measurement of power of a 3-phase balanced load is done using the wattmeter method. If the ratio of the wattmeter readings is 2 : 1 then the power factor of the circuit will be:a)0.0b)1.0c)0.5d)0.866Correct answer is option 'D'. Can you explain this answer?.
Measurement of power of a 3-phase balanced load is done using the wattmeter method. If the ratio of the wattmeter readings is 2 : 1 then the power factor of the circuit will be:a)0.0b)1.0c)0.5d)0.866Correct answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Measurement of power of a 3-phase balanced load is done using the wattmeter method. If the ratio of the wattmeter readings is 2 : 1 then the power factor of the circuit will be:a)0.0b)1.0c)0.5d)0.866Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Measurement of power of a 3-phase balanced load is done using the wattmeter method. If the ratio of the wattmeter readings is 2 : 1 then the power factor of the circuit will be:a)0.0b)1.0c)0.5d)0.866Correct answer is option 'D'. Can you explain this answer?.
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Measurement of power of a 3-phase balanced load is done using the wattmeter method. If the ratio of the wattmeter readings is 2 : 1 then the power factor of the circuit will be:a)0.0b)1.0c)0.5d)0.866Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Measurement of power of a 3-phase balanced load is done using the wattmeter method. If the ratio of the wattmeter readings is 2 : 1 then the power factor of the circuit will be:a)0.0b)1.0c)0.5d)0.866Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Measurement of power of a 3-phase balanced load is done using the wattmeter method. If the ratio of the wattmeter readings is 2 : 1 then the power factor of the circuit will be:a)0.0b)1.0c)0.5d)0.866Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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