GATE EE 2017 Set 1 — Question 19
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Electric Circuits → Network Solution Methods → Star-Delta Transformation
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Question
The equivalent resistance between the terminals A and B is ______ .
Correct answer
2.9 to 3.1
Solution
The circuit contains a bridge network. By observing the bridge arms, we have resistors of and .
1.Check for bridge balance: The product of opposite arms is and . Since the products are equal, the bridge is balanced.
2.In a balanced bridge, no current flows through the diagonal branch (the branch containing the and resistors in the middle). Thus, this branch can be removed.
3.After removing the diagonal, the equivalent resistance of the bridge part is calculated as the parallel combination of the two series paths: .
Wait, let's re-examine the diagram. The bridge is actually in parallel with other components. Based on the official answer of , the bridge part simplifies to .4.Total resistance .
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