GATE EE 2015 Set 1 — Question 40
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Electrical & Electronic Measurements → Bridges & Potentiometers → Wheatstone & Kelvin Bridge
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Question
An unbalanced DC Wheatstone bridge is shown in the figure. At what value of will the magnitude of be maximum?
Correct answer
(A) √((1+x))
Solution
The output voltage of the Wheatstone bridge is given by:To find the value of that maximizes , we differentiate with respect to and set it to zero:Taking the square root on both sides:Thus, the magnitude of is maximum when .
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