Physics

Problem

The electrostatic force between two point charges

q_1

and

q_2

separated by a distance

r

in vacuum is expressed as

F = \dfrac{1}{4\pi \varepsilon_0}\,\dfrac{q_1 q_2}{r^{2}}.

If electric charge has the dimension

[I T]

, derive the dimensional formula of the permittivity of free space

\varepsilon_0