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A thermometer is calibrated from 150°C to 300°C. The accuracy is specified as ± 0.2% of span. What is the maximum static error?
1. ± 0.6°C
2. ± 0.3°C
3. ± 0.03°C
4. ± 0.06°C

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Correct Answer - Option 2 : ± 0.3°C

Concept:

Absolute Error: The deviation of the measured value from the true value (or) actual value is called error. It is also known as a static error.

Static error (E) = Am – At

Am = Measured value

At = True value

It is caused due to measuring device.

Span: It is defined as the difference between the largest and smallest reading of the instrument.

Calculation:

A thermometer is calibrated from 150°C to 300°C

Maximum value = 300°C

Minimum value = 150°C

Span = 300 - 150 = 150°C

Static error = ± 0.2% of span

= ± 0.2% of 150

= ± 0.3°C

 

Relative Static Error: The ratio of absolute error to the true value is called relative static error.

\(R.S.E = \frac{{\left| {{A_m} - {A_t}} \right|}}{{{A_t}}} \times 100\)

Limiting Error:

The maximum allowable error in the measurement is specified in terms of true value, is known as limiting error. It will give a range of errors. It is always with respect to true value, so it is a variable error.

Guaranteed Accuracy Error:

The allowable error in measurement is specified in terms of full-scale value is known as a guaranteed accuracy error. It is a variable error seen by the instrument since it is with respect to full-scale value.

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