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A balanced Wheatsone bridge ABCD has the following arm resistances : RAB = 1 kΩ ± 2.1%; RBC = 100 Ω ± 0.5%; RCD is an unknown resistance; RDA = 300Ω ± 0.4%. The value of RCD and its accuracy is 
  • a)
    30 Ω ± 3 Ω
  • b)
    30 Ω ± 0.9 Ω
  • c)
    3000 Ω ± 90 Ω
  • d)
    3000 Ω ± 3 Ω
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A balanced Wheatsone bridge ABCD has the following arm resistances : R...
Under balanced condition, 
RCD = 30  ± 3%
% Error = ±3% 
RCD  = 30  ± 30 x 3/100 = 30  ± 0.9 Ω
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Community Answer
A balanced Wheatsone bridge ABCD has the following arm resistances : R...
Ω, RBC = 2 kΩ, RCD = 2 kΩ, and RDA = 1 kΩ. The bridge is initially balanced with no current flowing through the galvanometer G.

To determine the unknown resistance Rx, we can use the formula for a balanced Wheatstone bridge:

Rx = (RAB * RCD) / (RBC * RDA)

Substituting the given values:

Rx = (1 kΩ * 2 kΩ) / (2 kΩ * 1 kΩ)

Rx = 2 kΩ / 2 kΩ

Rx = 1 kΩ

Therefore, the unknown resistance Rx is 1 kΩ.
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A balanced Wheatsone bridge ABCD has the following arm resistances : RAB = 1 kΩ ± 2.1%; RBC = 100 Ω ± 0.5%; RCD is an unknown resistance; RDA = 300Ω ± 0.4%. The value of RCD and its accuracy isa)30 Ω ± 3 Ωb)30 Ω ± 0.9 Ωc)3000 Ω ± 90 Ωd)3000 Ω ± 3 ΩCorrect answer is option 'B'. Can you explain this answer?
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