Answer:
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
[tex]I_L = 25 \, A = I_{Ph}[/tex]
Whereby the the voltage across each resistance = [tex]V_R[/tex] is given by the relation;
[tex]V_R[/tex] = [tex]I_{Ph}[/tex] × R
Hence;
[tex]V_{Ph}[/tex] = [tex]V_R[/tex] = [tex]I_{Ph}[/tex] × R = 25 × 8 = 200 V
Therefore we have;
The line voltage, [tex]V_{L}[/tex] = √3 × [tex]V_{Ph}[/tex] = √3 × 200 = 346.41 V.
Hence, the line voltage of the three phase network = 346.41 V.
