Voltmeter Resolution Calculation

The question asks us to calculate the resolution of a 3-digit 0 - 1 V digital voltmeter. Understanding resolution is crucial in digital measurement systems as it defines the smallest measurable change in the input quantity.

Understanding Digital Voltmeter Resolution

In the context of a digital voltmeter, resolution refers to the smallest increment of voltage that the meter can detect and display. It essentially tells us how fine-grained the measurement can be. For digital instruments, the resolution is often determined by the number of digits in its display or the number of counts it can represent.

• A "3-digit" digital voltmeter means that the display can show numbers from 000 up to 999. This implies that the meter can differentiate between 1000 distinct steps (from 0 to 999).
• The given range is 0 to 1 V. This is the Full Scale Range (FSR) of the digital voltmeter.

Calculating Digital Voltmeter Resolution

To calculate the resolution, we divide the full-scale range by the total number of steps or counts the meter can display.

The formula for resolution is:

\[ \text{Resolution} = \frac{\text{Full Scale Range (FSR)}}{\text{Number of Counts}} \]

Plugging in the values for our digital voltmeter:

\[ \text{Resolution} = \frac{1 \text{ V}}{1000} \]

\[ \text{Resolution} = 0.001 \text{ V} \]

Therefore, the resolution of the 3-digit 0-1 V digital voltmeter is 0.001 V. This means the voltmeter can detect and display voltage changes as small as 0.001 V.