Wheatstone bridge application: A classic Wheatstone bridge circuit can be used to determine an unknown resistance by balancing the bridge and reading a known ratio. Decide whether this statement correctly describes a common use of the bridge.

Difficulty: Easy

Correct Answer: Correct

Explanation:


Introduction / Context:
The Wheatstone bridge is a foundational measurement circuit. By adjusting one known resistor (or using a calibrated ratio), the bridge can be balanced so that the detector indicates zero. At balance, a simple proportion relates the unknown resistor to the known elements, enabling precise resistance measurement without directly reading current or voltage across the unknown at nonzero levels.


Given Data / Assumptions:

  • Four-resistor bridge configuration with a sensitive null detector.
  • At balance, no current flows through the detector branch.
  • Resistors are stable during measurement; temperature effects are negligible.


Concept / Approach:
At balance, the ratio of the two arms is equal: R1/R2 = R_unknown/R3 (labeling may vary). Solving gives R_unknown = (R1/R2) * R3. Because the detector sees near-zero current at balance, measurement error due to detector loading is minimized, making the method precise for a wide range of resistances.


Step-by-Step Solution:

Arrange the bridge with three known resistors and one unknown.Adjust one known resistor until the detector shows null.Write the ratio equality for the two bridge arms.Solve for the unknown using the known ratio and resistor value.


Verification / Alternative check:
Compare the result with a direct ohmmeter reading; close agreement validates proper balancing and resistor tolerances.


Why Other Options Are Wrong:

  • Incorrect / AC only / only above 1 kΩ / requires digital meter: The bridge works with DC or AC (for resistive cases) and across broad resistance ranges; a simple galvanometer or null detector is sufficient.


Common Pitfalls:
Miswiring the bridge arms, ignoring lead resistance for low-ohm measurements, or attempting to read the unknown without reaching true null.


Final Answer:
Correct

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