coulomb per square metre

coulomb per square metre

SI coherent derived unit whose name and symbol includes an SI coherent derived unit with a special name and symbol
Name Symbol Quantity Base units
coulomb per square metre C/m2 surface charge density,
electric flux density,
electric displacement
m−2 s A
The coulomb per cubic metre, symbol C/m3, is the SI coherent derived unit of electric charge density.
Definition c-2 ΔνCs2 e
1 \mspace{4mu} \text{C} / \text{m}^2 \mspace{6mu} = \dfrac{(299 \mspace{4mu} 792 \mspace{4mu} 458)^2}{(9 \mspace{4mu} 192 \mspace{4mu} 631 \mspace{4mu} 770)^2(1.602 \mspace{4mu} 176 \mspace{4mu} 634 \times 10^{-19})} \mspace{6mu} \dfrac{{\Delta \nu _{Cs}}^2 \mspace{4mu} e}{c^2}\\ \\ \\ 1 \mspace{4mu} \text{C} / \text{m}^2 \mspace{6mu} \approx 6.638 \mspace{4mu} 214 \mspace{4mu} 541 \mspace{4mu} 476 \mspace{4mu} 228 \mspace{4mu} 501 \times10^{15} \mspace{6mu} c^{-2} \mspace{4mu} {\Delta \nu _{Cs}}^2 \mspace{4mu} e

Surface charge density

In electromagnetism, surface charge density, σ, is the amount of electric charge per unit area.

Using SI coherent units,

\sigma \ = \ \dfrac{Q}{A}

where:

  • σ is the charge density in coulombs per square metre, symbol C m-2,
  • Q is the electric charge in coulombs, symbol C,
  • A is the area in square metres, symbol m2.

1 \ \text{C} \ \text{m}^{-2} \ = \ \dfrac{1 \ \text{C}}{1 \ \text{m}^2}

Surface charge density can be either positive or negative, since electric charge can be either positive or negative.