How do you calculate the smallest division of an instrument?

The smallest division or resolution of an instrument is typically the smallest change in the measurement that can be detected or resolved. Here's how you can calculate it:

1. Determine the Range:

- Identify the measurement range of the instrument, which represents the minimum and maximum values it can measure.

2. Calculate the Full Scale Value (FSV):

- Subtract the minimum value from the maximum value of the range to find the Full Scale Value.

3. Determine the Number of Divisions:

- Count the number of markings or graduations on the instrument's scale.

4. Calculate Resolution:

- Divide the Full Scale Value (FSV) by the number of divisions.

Resolution = (Full Scale Value) / (Number of Divisions)

Example:

- Consider a voltmeter with a range of 0 to 100 volts and 20 divisions on its scale.

- Full Scale Value (FSV) = 100 volts - 0 volts = 100 volts

- Number of Divisions = 20

- Resolution = (100 volts) / (20 divisions)

- Resolution = 5 volts per division

In this case, the smallest division of the voltmeter is 5 volts, meaning that the voltmeter can resolve and display changes in voltage in increments of 5 volts.