Purely resistive loads of 24kW, 18kW and 12kW are connected between the neutral and the red, yellow and the blue respectively of 3 phase, four-wire system. The line voltage is 415. What is the current in each line conductor ?

The phase current in each line conductor are;

Explanation:

Given the following data;

Red phase = 24kW,

Yellow phase = 18kW

Blue phase = 12kW

Line voltage = 415V

For a star connected system, we have;

The phase sequence for RYB is given by;

For the Red phase;

For the Yellow phase;

For the Blue phase;

For the line neutral;

Substituting we have,

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explanation: