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

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

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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

$E_{R Y} = \sqrt[]{E_{N R}^{2} + E_{N Y}^{2} + 2 . E_{N R} E_{N Y} \cos 60 °}$

For a balanced supply

$E_{NR} = E_{NY} = E_{NB} = E$

$E_{L i n e} = \sqrt[]{E^{2} + E^{2} + 2 . E . E \cos 60 °}$

$E_{line} = \sqrt[]{3} . E_{phase}$

$E_{line} = \sqrt[]{3} . 2000 = 3464 V$

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

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

Comments

ESE & GATE EE

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