$2\mathrm{.}4$ Preliminary Assignment

Suppose the capacitor plates have a measured diameter of $(0\mathrm{.}210+-0\mathrm{.}001)m$ and a plate separation of $(0\mathrm{.}020+-0\mathrm{.}001)m.$ Calculate the capacitance $($including uncertainty$)$ of the variable capacitor.

The separation $($d$)$ for the capacitor in Problem $1$ is varied and the capacitance is measured for $5$ separations. These points are recorded in the following table:

$\backslash$table$[[\backslash$table$[[$Separation$],[(+-0\mathrm{.}05cm)$