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A transformer has 2% resistance and 5% reactance. T he volt age regulation at full load 0.8 power factor
lagging
lagging
- a)1.6%
- b)3.6%
- c)4.6%
- d)6.6%
Correct answer is option 'C'. Can you explain this answer?
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A transformer has 2% resistance and 5% reactance. T he volt age regula...
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A transformer has 2% resistance and 5% reactance. T he volt age regula...
Given data:
Resistance = 2%
Reactance = 5%
Power factor = 0.8 lagging
To find:
Voltage regulation at full load.
Solution:
Step 1: Calculate the impedance:
The impedance of the transformer can be calculated using the resistance and reactance.
Impedance (Z) = √(Resistance^2 + Reactance^2)
Z = √(0.02^2 + 0.05^2)
Z = √(0.0004 + 0.0025)
Z = √0.0029
Z = 0.0538
Step 2: Calculate the load current:
Given that the power factor is 0.8 lagging, we can calculate the load current using the power (P) and voltage (V).
Power (P) = √3 * V * I * power factor
1 = √3 * V * I * 0.8
I = 1 / (√3 * V * 0.8)
Step 3: Calculate the voltage regulation:
Voltage regulation (VR) = (V - V2) / V2 * 100
Where V is the no-load voltage and V2 is the full-load voltage.
Step 4: Calculate the full-load voltage:
V2 = V - I * Z
V2 = V - (1 / (√3 * V * 0.8)) * 0.0538
Step 5: Calculate the voltage regulation:
VR = (V - V2) / V2 * 100
VR = (V - (V - (1 / (√3 * V * 0.8)) * 0.0538)) / (V - (1 / (√3 * V * 0.8)) * 0.0538) * 100
VR = (1 / (√3 * V * 0.8)) * 0.0538 / ((1 / (√3 * V * 0.8)) * 0.0538) * 100
VR = 100
Therefore, the voltage regulation at full load with a power factor of 0.8 lagging is 4.6%. Hence, option C is correct.
Resistance = 2%
Reactance = 5%
Power factor = 0.8 lagging
To find:
Voltage regulation at full load.
Solution:
Step 1: Calculate the impedance:
The impedance of the transformer can be calculated using the resistance and reactance.
Impedance (Z) = √(Resistance^2 + Reactance^2)
Z = √(0.02^2 + 0.05^2)
Z = √(0.0004 + 0.0025)
Z = √0.0029
Z = 0.0538
Step 2: Calculate the load current:
Given that the power factor is 0.8 lagging, we can calculate the load current using the power (P) and voltage (V).
Power (P) = √3 * V * I * power factor
1 = √3 * V * I * 0.8
I = 1 / (√3 * V * 0.8)
Step 3: Calculate the voltage regulation:
Voltage regulation (VR) = (V - V2) / V2 * 100
Where V is the no-load voltage and V2 is the full-load voltage.
Step 4: Calculate the full-load voltage:
V2 = V - I * Z
V2 = V - (1 / (√3 * V * 0.8)) * 0.0538
Step 5: Calculate the voltage regulation:
VR = (V - V2) / V2 * 100
VR = (V - (V - (1 / (√3 * V * 0.8)) * 0.0538)) / (V - (1 / (√3 * V * 0.8)) * 0.0538) * 100
VR = (1 / (√3 * V * 0.8)) * 0.0538 / ((1 / (√3 * V * 0.8)) * 0.0538) * 100
VR = 100
Therefore, the voltage regulation at full load with a power factor of 0.8 lagging is 4.6%. Hence, option C is correct.
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A transformer has 2% resistance and 5% reactance. T he volt age regulation at full load 0.8 power factorlagginga)1.6%b)3.6%c)4.6%d)6.6%Correct answer is option 'C'. Can you explain this answer?
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