What is the unit of electric flux in terms of the base units of SI?

The correct answer is Option (3) → \( \mathrm{kg\,m^3\,s^{-3}\,A^{-1}} \)

Electric flux is the electric field times the area through which it passes, \( \Phi_E = E\,A \), so its unit is \( \mathrm{N\,C^{-1}\,m^2} \). Write each unit in SI base units:

    \( 1\,\mathrm{N} = 1\,\mathrm{kg\,m\,s^{-2}} \)
    \( 1\,\mathrm{C} = 1\,\mathrm{A\,s} \)

    \( \displaystyle \mathrm{N\,C^{-1}} = \frac{\mathrm{kg\,m\,s^{-2}}}{\mathrm{A\,s}} = \mathrm{kg\,m\,s^{-3}\,A^{-1}} \)

    \( \displaystyle \mathrm{N\,C^{-1}\,m^2} = \mathrm{kg\,m\,s^{-3}\,A^{-1}} \times \mathrm{m^2} = \mathrm{kg\,m^3\,s^{-3}\,A^{-1}} \)

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