In a certain three-wire Y-connected generator, the phase voltages are 2 kV. The magnitudes of the line voltages are

By Mona Kumari|Updated : June 27th, 2022

In a certain three-wire Y-connected generator, the phase voltages are 2 kV. The magnitudes of the line voltages are

A. 2000 V
B. 6000 V
C. 666 V
D. 3464 V

Answer:  D 3,464 V

In a certain three-wire Y-connected generator, the phase voltages are 2 kV. The magnitudes of the line voltages are 3,464 V.

Solution:

The detailed solution to the question, in a certain three-wire Y-connected generator, the phase voltages are 2 kV. The magnitudes of the line voltages are provided here.

For a star connection,

Line voltages leads the phase voltages by 30º

ERY= √(E2NR+E2NY+2.ENRENYcos60°)

For a balanced supply

ENR=ENY=ENB=E

ELine= √(E2+E2+2.E.Ecos60°)

Eline=3√Ephase

Eline=3√2000=3464

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