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The full load voltage drop in a 1-phase transformer is 2% and 4% respectively due to resistance and leakage reactance. Then the voltage drop is maximum at __________
- a)0.45 lagging
- b)0.45 leading
- c)0.9 lagging
- d)0.9 leading
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The full load voltage drop in a 1-phase transformer is 2% and 4% respe...
Z = 4.47; cosθ = percentage r/percentage z = 2/(4.47) = 0.45.
Most Upvoted Answer
The full load voltage drop in a 1-phase transformer is 2% and 4% respe...
Explanation:
The voltage drop in a transformer is a combination of resistance and leakage reactance. The percentage voltage drop due to resistance is given as 2% and the percentage voltage drop due to leakage reactance is given as 4%.
Resistance Voltage Drop:
The resistance voltage drop is caused by the resistance of the winding conductors. This resistance causes a voltage drop in the transformer proportional to the current flowing through it. The percentage voltage drop due to resistance is given as 2%.
Leakage Reactance Voltage Drop:
The leakage reactance voltage drop is caused by the leakage reactance of the transformer. Leakage reactance is the reactance that opposes the flow of current in the transformer windings. The percentage voltage drop due to leakage reactance is given as 4%.
Maximum Voltage Drop:
To determine the maximum voltage drop, we need to consider the phasor relationship between the resistance voltage drop and the leakage reactance voltage drop.
The resistance voltage drop is in-phase with the current, while the leakage reactance voltage drop lags the current by 90 degrees.
When the resistance voltage drop and the leakage reactance voltage drop are in phase opposition, the total voltage drop will be maximum.
0.45 Lagging:
At a power factor of 0.45 lagging, the current lags the voltage by 63.43 degrees. In this case, the resistance voltage drop and the leakage reactance voltage drop are in phase opposition, resulting in the maximum voltage drop.
Therefore, the maximum voltage drop occurs at a power factor of 0.45 lagging.
Conclusion:
The maximum voltage drop in a 1-phase transformer occurs at a power factor of 0.45 lagging.
The voltage drop in a transformer is a combination of resistance and leakage reactance. The percentage voltage drop due to resistance is given as 2% and the percentage voltage drop due to leakage reactance is given as 4%.
Resistance Voltage Drop:
The resistance voltage drop is caused by the resistance of the winding conductors. This resistance causes a voltage drop in the transformer proportional to the current flowing through it. The percentage voltage drop due to resistance is given as 2%.
Leakage Reactance Voltage Drop:
The leakage reactance voltage drop is caused by the leakage reactance of the transformer. Leakage reactance is the reactance that opposes the flow of current in the transformer windings. The percentage voltage drop due to leakage reactance is given as 4%.
Maximum Voltage Drop:
To determine the maximum voltage drop, we need to consider the phasor relationship between the resistance voltage drop and the leakage reactance voltage drop.
The resistance voltage drop is in-phase with the current, while the leakage reactance voltage drop lags the current by 90 degrees.
When the resistance voltage drop and the leakage reactance voltage drop are in phase opposition, the total voltage drop will be maximum.
0.45 Lagging:
At a power factor of 0.45 lagging, the current lags the voltage by 63.43 degrees. In this case, the resistance voltage drop and the leakage reactance voltage drop are in phase opposition, resulting in the maximum voltage drop.
Therefore, the maximum voltage drop occurs at a power factor of 0.45 lagging.
Conclusion:
The maximum voltage drop in a 1-phase transformer occurs at a power factor of 0.45 lagging.
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