Error Analysis
The resistance R = V/I where V = (100 ± 5) V and I = (10 ± 0.2) A. What is the percentage error in R?
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About This Question
- Subject
- physics
- Chapter
- units and measurements
- Topic
- error analysis
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
7%
- Rule for Combination of Errors: For a quotient Z=A/B, the relative error is the sum of relative errors: RΔR=VΔV+IΔI.
- Error in Voltage (V):
- % Error in V=1005×100=5%.
- Error in Current (I):
- % Error in I=100.2×100=2%.
- Summation:
- Total percentage error in R=5%+2%=7%.
- Result: The uncertainty in resistance measurement is 7%.
This medium difficulty physics question is from the chapter units and measurements, covering the topic of error analysis. It appeared in the 2025 exam.
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