Electric flux density and confusion about units

[sunil36]

My general understanding of electric flux density is 'electric flux per unit area'. This gives the SI unit N/C. But According the formula of electric flux density, D=eplison*E, the SI unit is C/m^2. How come the dimension in both cases not matching if both are true?

 

[Ibix]

I think there's some terminological confusion. If you're planning on calling $\vec D$ the flux density then the corresponding flux is the flux of the displacement field, $\Phi_D=\int \vec D\cdot d\vec S$. That's related to the flux we discussed in your other thread, $\Phi_E=\int \vec E\cdot d\vec S$, as $\Phi_D=\varepsilon \Phi_E$. I think that should sort out the units.