GATE EE 2018 Set 1 — Question 57
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Electric Circuits → AC Power & Three-Phase → Unbalanced Circuits
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Question
A three-phase load is connected to a three-phase balanced supply as shown in the figure. If V, V and V (angles are considered positive in the anti-clockwise direction), the value of R for zero current in the neutral wire is ___________ (up to 2 decimal places).
Correct answer
5.7 to 5.85
Solution
For zero current in the neutral wire, the sum of the currents in the three phases must be zero:Given the phase voltages:
V
V
VThe currents in each phase are:
A
ASumming these currents for zero neutral current:Converting to rectangular form:The value of R is approximately 5.77 .
V
V
VThe currents in each phase are:
A
ASumming these currents for zero neutral current:Converting to rectangular form:The value of R is approximately 5.77 .
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