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The resolution of a 3½ digit DMM on 1 V and 10 V is :

  • A.0.1 V and 0.01 V
  • B.0.01 V and 0.1 V
  • C.0.001 V and 0.1 V
  • D.0.001 V and 0.01 V

Answer: D

The resolutions are 0.001 V and 0.01 V.

A 3½ digit meter has a maximum count of 1999, so its resolution is one count in the last digit. On the 1 V range the display reads up to 1.999 V, so the smallest step is 0.001 V. On the 10 V range it reads up to 19.99 V, so the smallest step is 0.01 V.

\[ \begin{aligned} \frac{1\ \text{V}}{1000} &= 0.001\ \text{V} \\ \frac{10\ \text{V}}{1000} &= 0.01\ \text{V} \end{aligned} \]

The other options are ten or a hundred times too coarse on one or both ranges.

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