The full load voltage drop in a 1-phase transformer is 2% and 4% respe...
Z = 4.47; cosθ = percentage x/percentage z = 4/4.47 = 0.89.
View all questions of this testThe full load voltage drop in a 1-phase transformer is 2% and 4% respe...
Explanation:
The full load voltage drop in a 1-phase transformer can be divided into two components: voltage drop due to resistance and voltage drop due to leakage reactance.
Voltage drop due to resistance:
Resistance is the primary cause of voltage drop in a transformer. When a load is connected to the secondary side of the transformer, the current flows through the winding resistance, which causes a voltage drop. The magnitude of this voltage drop is proportional to the current flowing through the winding and the resistance of the winding.
Voltage drop due to leakage reactance:
Leakage reactance is another factor that contributes to the voltage drop in a transformer. Leakage reactance is caused by the magnetic flux that does not link with both the primary and secondary windings. This flux leakage induces a voltage drop across the winding reactance. The magnitude of this voltage drop is proportional to the current flowing through the winding and the reactance of the winding.
Total voltage drop:
The total voltage drop in a transformer is the sum of the voltage drop due to resistance and the voltage drop due to leakage reactance.
Given that the full load voltage drop in the transformer is 2% and 4% respectively due to resistance and leakage reactance, we can write the following equation:
Total voltage drop = Voltage drop due to resistance + Voltage drop due to leakage reactance
2% = Voltage drop due to resistance
4% = Voltage drop due to leakage reactance
Since the voltage drop is zero at a power factor of 0.9 lagging, it means that the voltage drop due to resistance and the voltage drop due to leakage reactance cancel each other out at a power factor of 0.9 lagging. This is because the impedance of the transformer is a combination of resistance and reactance, and at a power factor of 0.9 lagging, the reactive power component is such that it cancels out the resistive power component.
Therefore, the correct answer is option C, 0.9 lagging.