GATE EE 2016 Set 2 — Question 46
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Electric Circuits → AC Power & Three-Phase → Balanced Three-Phase Circuits
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Question
In the balanced 3-phase, 50 Hz, circuit shown below, the value of inductance () is 10 mH. The value of the capacitance () for which all the line currents are zero, in millifarads, is ___________.
Correct answer
2.9 to 3.1
Solution
For the line currents to be zero, the equivalent star-connected impedance per phase must be infinite (parallel resonance). The circuit consists of a delta-connected inductor bank () and a star-connected capacitor bank (). Equivalent star inductance . The star-connected capacitor is in parallel with . For resonance:
Given , rad/s. .
.
Given , rad/s. .
.
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