Home
Back
Formula Used:
| From: | To: |
Erroneous Quantity is defined as limiting error, where a specified quantity is taken as true quantity, and maximum deviation quantity is known as the incorrect or erroneous quantity. It represents the maximum possible error in a measurement.
The calculator uses the formula:
Where:
Explanation: The formula calculates the erroneous quantity by adding the percentage error of the true value to the true value itself.
Details: Calculating erroneous quantity is crucial for understanding measurement accuracy, determining tolerance limits, and assessing the reliability of measurement instruments and processes.
Tips: Enter percentage error as a decimal value (e.g., 1.5 for 1.5%) and true value in appropriate units. Both values must be valid numerical values.
Q1: What is the difference between percentage error and erroneous quantity?
A: Percentage error represents the relative error as a percentage of the true value, while erroneous quantity represents the absolute maximum deviation from the true value.
Q2: Can percentage error be negative?
A: Yes, percentage error can be negative indicating the measured value is less than the true value, but for maximum deviation calculations, the absolute value is typically used.
Q3: How is this different from standard error calculation?
A: This calculates the maximum possible error (limiting error) rather than statistical error measurements like standard deviation or standard error.
Q4: When should this calculation be used?
A: This calculation is particularly useful in engineering, quality control, and instrumentation where maximum tolerance limits need to be established.
Q5: Are there limitations to this calculation?
A: This assumes a linear relationship and may not account for all types of measurement errors, particularly systematic errors that vary non-linearly.