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GATE 2020 BM – Question 37

Measurements and Control Systems · Bridges and Impedance Measurement · 2 marks · Multiple choice

Four initially equal pressure-catheter resistors are arranged as shown. Pressure lengthens R₂,R₄ and increases cross-sectional area of R₁,R₃, producing equal-magnitude resistance changes. Which Wheatstone-bridge connection makes output proportional to an individual resistance change?

Diagram for GATE 2020 BM question 37
  1. I only
  2. II only
  3. Neither I nor II
  4. Both I and II

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Show answer and explanation

Correct answer: (A) I only

Explanation

Lengthening raises R₂,R₄, while increased area lowers R₁,R₃ in the stated geometric model. Connection I places the two increasing and two decreasing gauges in alternating bridge arms, so the two midpoint shifts oppose and add in the measured differential output. In II, the divider ratios change alike and their differential cancels. Therefore I only, A.

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