Question

What is meant by electrical capacity of a conductor?
Deduce dimensional formula of $RC$, where $R$ is resistance and $C$ is capacity.

Answer 1

Electrical capacity of the conductor is defined as the capacity of the conductor to store charge on its surface.
We can write $R=\frac{V}{I}$ and $C=\frac{Q}{V}$
$⟹RC=\frac{V}{I}\times \frac{Q}{I}=\frac{Q}{I}$
Since we know that $Q=It$
$⟹RC=\frac{It}{I}=t$
Thus dimensional formula of $RC$ is same as that of time i.e. $\left[T\right]$.