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?
0.02
0.03
0.01
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.