GATE EE 2026 Set 1 — Question 57
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Electrical & Electronic Measurements → Bridges & Potentiometers → Wheatstone & Kelvin Bridge
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Question
The resistance values of the Wheatstone bridge shown are:
, , . The battery voltage .
The battery has an internal resistance of and the Galvanometer (G) has a resistance of .
The value of the resistance for balanced condition is _____________
, , . The battery voltage .
The battery has an internal resistance of and the Galvanometer (G) has a resistance of .

Correct answer
750 to 750
Solution
For a Wheatstone bridge to be balanced, the ratio of the resistances in the arms must satisfy:Given , , and , we can solve for :The balance condition is independent of the battery voltage, internal resistance, and galvanometer resistance.
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