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