# Problem: You have a collection of six 2.1 kΩ resistors. What is the smallest resistance you can make by combining them? Express your answer with the appropriate units.

###### FREE Expert Solution

The smallest resistance is achieved by connecting the resistors in parallel.

Equivalent resistance for resistors in parallel:

$\overline{)\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{eq}}}{\mathbf{=}}\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{1}}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{2}}}{\mathbf{+}}{\mathbf{.}}{\mathbf{.}}{\mathbf{.}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{n}}}}$

###### Problem Details

You have a collection of six 2.1 kΩ resistors. What is the smallest resistance you can make by combining them? Express your answer with the appropriate units.