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In the circuit shown below, a three-phase star-connected unbalanced load is connected to a balanced three-phase supply of 100√3 V with phase sequence ABC. The star connected load has Z_A = 10 Ω and Z_B = 20∠60° Ω. The value of Z_C in Ω, for which the voltage difference across the nodes n and n' is zero, is
- 20∠−30°
- 20∠30°
- 20∠−60°
- 20∠60°
Correct answer: 20∠30°
Solution
The correct option is 20∠30° because for the voltage difference across nodes n and n' to be zero in a star-connected load, the sum of the phase currents must equal zero. By calculating the phase currents for the given impedances and ensuring they balance out, we find that Z_C must be 20∠30° to achieve this condition.
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