A voltage is measured as 15.0 V with an uncertainty of ±0.3 V. What is the fract

Practice Questions

Q1
A voltage is measured as 15.0 V with an uncertainty of ±0.3 V. What is the fractional error in the voltage measurement?
  1. 0.02
  2. 0.03
  3. 0.01
  4. 0.05

Questions & Step-by-Step Solutions

A voltage is measured as 15.0 V with an uncertainty of ±0.3 V. What is the fractional error in the voltage measurement?
  • Step 1: Identify the measured value, which is 15.0 V.
  • Step 2: Identify the absolute error, which is ±0.3 V.
  • Step 3: Use the formula for fractional error: fractional error = (absolute error / measured value).
  • Step 4: Substitute the values into the formula: fractional error = 0.3 / 15.0.
  • Step 5: Calculate the result: 0.3 divided by 15.0 equals 0.02.
  • Fractional Error – The fractional error is the ratio of the absolute error to the measured value, indicating the relative uncertainty in a measurement.
  • Uncertainty in Measurements – Understanding how to express and calculate uncertainty is crucial in experimental physics and engineering.
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