The symmetrical load below is connected to a three-phase network. A line current of 25A has been measured. The load resistors have a value of 18 Ω. What is the line voltage of the three-phase network?

The line voltage of the three phase network is 346.41 V

Explanation:

Star Connected Load

Resistance, R₁ = R₂ = R₃ = 18 Ω

For a star connected load, the line current = the phase current, that is we have

Whereby the the voltage across each resistance = is given by the relation;

= × R

Hence;

= = × R  = 25 × 8 = 200 V

Therefore we have;

The line voltage, = √3 × = √3 × 200 = 346.41 V.

Hence, the line voltage of the three phase network = 346.41 V.

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explanation: