The ohmic drop of a transformer is 1% while the reactance drop is 5% o...
To solve this problem, we need to understand the concept of voltage regulation in transformers. The voltage regulation of a transformer refers to the change in output voltage when the load on the transformer changes.
The voltage regulation can be calculated using the following formula:
Voltage Regulation = (V_no-load - V_full-load) / V_full-load * 100
Where:
V_no-load is the output voltage when there is no load connected to the transformer.
V_full-load is the output voltage when the transformer is operating at full load.
In this problem, we are given that the ohmic drop is 1% and the reactance drop is 5% of the voltage. Let's calculate the voltage regulation for both power factor leading and power factor lagging conditions.
1. Power Factor Leading:
In this case, the actual voltage drop in the transformer will be the sum of the ohmic drop and the reactance drop. So the total voltage drop will be 1% + 5% = 6% of the voltage.
Voltage Regulation = 6%
2. Power Factor Lagging:
In this case, the actual voltage drop in the transformer will be the difference between the ohmic drop and the reactance drop. So the total voltage drop will be 1% - 5% = -4% of the voltage.
Voltage Regulation = -4%
Therefore, the voltage regulation of the transformer at 0.8 power factor leading is 6% and at 0.8 power factor lagging is -4%.
Now let's look at the options given:
a) 2.2% and -3.8%
b) -3.4% and 4.6%
c) -2.2% and 3.8%
d) 3.4% and -4.6%
From our calculations, we can see that the correct answer is option c) -2.2% and 3.8%.