Question

the unit of the permittivity of free space, Eo is

Answer 1

The permittivity of free space (a vacuum) is a physical constant equal to approximately 8.85 x 10-12 farad per meter (F/m).

Answer 2

To Find :

The unit of the permittivity of free space, $E_o$ .

Solution :

We know , force between two charges is given by :

$F=\dfrac{1}{4\pi\epsilon_o}\dfrac{q_1q_2}{r^2}$

Therefore ,

$\epsilon_o=\dfrac{1}{4\pi F}\dfrac{q_1q_2}{r^2}$

We know , units of Force is N , charge is C and r is m .

Therefore , units of $\epsilon_o$ is $C^2\ N^{-1}\ m^{-2}$ .

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Units and measurements

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