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GATE 2025 IN – Question 45

Measurements · Electrical bridges · 2 marks · Multiple choice

The bridge in Figure (a) has the equivalent circuit in Figure (b). The values of $R_1$, $R_2$, and $V_C$ are

Diagram for GATE 2025 IN question 45
  1. R1 = 6 kΩ, R2 = 3 kΩ, and VC = 9 V
  2. R1 = 3 kΩ, R2 = 6 kΩ, and VC = 4.5 V
  3. R1 = 2 kΩ, R2 = 2 kΩ, and VC = 9 V
  4. R1 = 2 kΩ, R2 = 2 kΩ, and VC = 4.5 V

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Correct answer: (C) R1 = 2 kΩ, R2 = 2 kΩ, and VC = 9 V

Explanation

Unloaded node voltages are VH=18×6/(3+6)=12 V and VL=18×3/(6+3)=6 V.

Their midpoint/common-mode voltage is 9 V, with ±3 V offsets.

With the supply shorted, each node sees 3k||6k=2 kΩ.

Therefore **R1=R2=2 kΩ, VC=9 V, C**.