Dynamic Error in Measurement

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Questions and Answers

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?

<p>Yes, the measured value of an unknown quantity can be less than the true value.</p> Signup and view all the answers

What is the purpose of calculating the relative static error?

<p>The purpose of calculating the relative static error is to express the error as a percentage of the true value.</p> Signup and view all the answers

What is the main difference between the measured value and the true value of a measurand?

<p>The measured value may be more or less than the true value.</p> Signup and view all the answers

Why is it important to calculate the relative static error in addition to the absolute static error?

<p>To express the error as a percentage of the true value.</p> Signup and view all the answers

What does a positive relative static error indicate?

<p>That the measured value is greater than the true value.</p> Signup and view all the answers

What is the purpose of calculating the percentage error?

<p>To express the relative static error as a percentage.</p> Signup and view all the answers

What is the relationship between the absolute static error and the relative static error?

<p>The relative static error is the absolute static error expressed as a percentage of the true value.</p> Signup and view all the answers

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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.

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