The resistance of the three arms of the balanced wheat stone bridge is 50 ohms. The resistance in the 4 ohm range is:

Correct answer: B. 50 ohm

  • A. 25 ohm
  • B. 50 ohm
  • C. 75 ohm
  • D. 100 ohm

Explanation

In a balanced Wheatstone bridge, the ratio of the resistances in one arm is equal to the ratio of the resistances in the other arm, expressed as X = (R * Q) / P. With all three known resistances being 50 ohms, the unknown resistance X also calculates to be 50 ohms, thereby maintaining the balance. The other options do not satisfy this relationship and would unbalance the bridge.

This question appeared on the ETEA MDCAT 2006 paper, which you can sit online with every answer explained.

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About Resistance and Resistivity

Resistance measures opposition to current in a conductor and follows R = V/I for an ohmic conductor, while resistivity is an intrinsic property of the material. Questions use R = ρL/A, examine effects of length, cross-sectional area and temperature, and distinguish resistance, resistivity, conductance and conductivity.

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