Question

What is the dimensional formulae of capacitance ?

Answer 1

We know that,

the capacitance of a capacitor is given by:

$C=\frac{Q}{V}$

the dimension of Q is $\left[AT\right]$

the dimension of voltage is $\left[M{L}^2{T}^{-3}{A}^{-1}\right]$

Dimensional formula of capacitance is:

$C=\frac{\left[AT\right]}{\left[M{L}^2{T}^{-3}{A}^{-1}\right]}$

$=\left[M^{-1}{L}^{-2}{T}^4{I}^2\right]$