GATE EC 2014 Set 1 — Question 40
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Network Theory → Circuit Fundamentals & Theorems → Wye-Delta Transformation
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Question
A Y-network has resistances of each in two of its arms, while the third arm has a resistance of . In the equivalent -network, the lowest value (in ) among the three resistances is ________.
Correct answer
29.08 to 29.1
Solution
Let the resistances in the Y-network (star) be , , and .
To find the equivalent -network resistances (), we use the Star-Delta transformation formulas:Calculating each:
To find the equivalent -network resistances (), we use the Star-Delta transformation formulas:Calculating each:
1.
2.
3.
Comparing the three values (), the lowest resistance value is .Continue learning with Success Tracker
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