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GATE 2024 IN – Question 39

Measurements · Electrical bridges · 2 marks · Multiple choice

In the bridge circuit shown in the figure, under balanced condition, the values of R and C respectively, are

Diagram for GATE 2024 IN question 39
  1. 1.010 Ω and 19.802 µF
  2. 9.901 Ω and 0.505 µF
  3. 19.802 Ω and 1.01 µF
  4. 39.604 Ω and 2.02 µF

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Show answer and explanation

Correct answer: (C) 19.802 Ω and 1.01 µF

Explanation

At balance, $(500+j5000)[R-j/(5000C)]=1000^2$. The unknown impedance is $10^6/(500+j5000)=19.802-j198.020$ Ω.

Therefore $R=19.802$ Ω and $C=1/(5000\times198.020)=1.01$ μF.

Answer: **C**.