10 Questions
What is the formula for calculating the absolute static error?
Absolute static error = Measured value - True value
What is the formula for calculating the relative static error?
Relative static error = (Absolute static error / True value) × 100
What is the significance of a positive relative static error?
A positive relative static error indicates that the measured value is greater than the true value.
Can the measured value of an unknown quantity be less than the true value?
Yes, the measured value of an unknown quantity can be less than the true value.
What is the purpose of calculating the relative static error?
The purpose of calculating the relative static error is to express the error as a percentage of the true value.
What is the main difference between the measured value and the true value of a measurand?
The measured value may be more or less than the true value.
Why is it important to calculate the relative static error in addition to the absolute static error?
To express the error as a percentage of the true value.
What does a positive relative static error indicate?
That the measured value is greater than the true value.
What is the purpose of calculating the percentage error?
To express the relative static error as a percentage.
What is the relationship between the absolute static error and the relative static error?
The relative static error is the absolute static error expressed as a percentage of the true value.
Study Notes
Types of Errors
- Dynamic Error: The difference between the true value of a time-varying quantity and the output value indicated by the instrument, assuming no static error.
Static Error
- Static Error or Absolute Static Error: The difference between the measured value and the true value of the measurand.
- Relative Static Error: The ratio of the static error to the true value, expressed as a percentage.
- % Error: (Static Error / True Value) × 100
Characteristics of Errors
- The measured value of the unknown quantity may be more than or less than the true value of the measurand.
- Limiting or guarantee errors are also types of errors that occur in measurement.
Error Types
- Dynamic Error: the difference between the true value of a time-varying quantity and the output value indicated by the instrument, assuming no static error.
Static Error
- Also known as absolute static error
- Calculated as: Measured Value - True Value
- The measured value of the unknown quantity may be more or less than the true value of the measurand.
Relative Static Error
- Calculated as: (Measured Value - True Value) / True Value
- Expressed as a percentage: ((Measured Value - True Value) / True Value) × 100
Limiting or Guarantee Errors
- No further explanation provided in the text.
Learn about dynamic error, which occurs when there's a difference between the true value of a time-varying quantity and the output value indicated by an instrument. This quiz covers the concept of dynamic error in measurement and its importance in instrumentation.
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