Physics

Find the dimensions of electricity permittivity. 


ANSWER

$$[A^2M^{-1}L^{-3}T^4]$$


SOLUTION
Electrostatic force acting between the charges  $$F = \dfrac{q_1q_2}{4\pi \epsilon_o r^2}$$
$$\implies$$  $$\epsilon_o = \dfrac{q_1q_2}{4\pi Fr^2}$$
Dimensions of electricity permeability  $$\epsilon_o =\dfrac{[AT][AT]}{[MLT^{-2}] [L]^2}$$
$$\implies$$   $$\epsilon_o =[A^2 M^{-1} L^{-3} T^4]$$
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