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Question

Which of the expressions is true for the balanced condition of the following wheatstone bridge?

This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is R X /R 3 = R 2 /R 1

Wheatstone bridge

  • Wheatstone bridge, also known as the resistance bridge, calculates the unknown resistance by balancing two legs of the bridge circuit. One leg includes the component of unknown resistance.
  • A Wheatstone bridge circuit consists of four arms, of which two arms consist of known resistances while the other two arms consist of an unknown resistance and a variable resistance.
  • The circuit also consists of a galvanometer and an electromotive force source.
  • The emf source and the galvanometer are always connected in the opposite branch.

Balance condition of Wheatstone bridge

The product of the opposite branch resistance must be equal.

\(R_1R_x=R_2R_3\)

\({R_x\over R_3}={R_2\over R_1}\)

Under balance conditions, the current through the galvanometer is zero, hence it shows zero deflection.

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