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Electric Charges And Fields

Question

What is the dimensional formula for ε₀?

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Solution

Electrostatic force is given by - F = \frac{1}{4 {πε}_{0}} \frac{q_{1} q_{2}}{r^{2}}

\Rightarrow

[ε_{0}] = \frac{[q_{1} q_{2}]}{[{Fr}^{2}]} = \frac{[A^{2} T^{2}]}{[{MLT}^{- 2}] [L^{2}]} = [M^{- 1} L^{- 3} T^{4} A^{2}]