GATE EE 2020 Set 1 — Question 58
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Electric Circuits → AC Power & Three-Phase → Balanced Three-Phase Circuits
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Question
Windings 'A', 'B' and 'C' have 20 turns each and are wound on the same iron core as shown, along with winding 'X' which has 2 turns. The figure shows the sense (clockwise/anti-clockwise) of each of the windings only and does not reflect the exact number of turns. If windings 'A', 'B' and 'C' are supplied with balanced 3-phase voltages at and there is no core saturation, the no-load RMS voltage (in V, rounded off to 2 decimal places) across winding 'X' is __________.
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Solution
1.Winding Analysis:
- Windings A, B, and C have turns.
- Winding X has turns.
- From the diagram, windings A and B have the same sense (clockwise), while C has the opposite sense (anti-clockwise).
The total flux linkage in the core limb is proportional to the sum of the MMFs: .
For balanced 3-phase voltages: , , .
.
Magnitude .
3.Secondary Voltage:
.Note: The official answer key marks this question as MTA (Marks To All), likely due to ambiguity in the core limb configuration or winding sense representation.Continue learning with Success Tracker
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