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Physics · Ch 10 — Electrostatics

(b) Surface Charge Density

10.10.2

(b) Surface Charge Density

When a total charge q is distributed UNIFORMLY over a surface of area A (Fig. 10.23), the SURFACE CHARGE DENSITY σ\sigma is defined as the charge per unit area: σ=qA.\sigma=\frac{q}{A}. Its SI unit is coulomb per square metre (C/m2\text{C/m}^2). Typical physical examples of a surface charge distribution include charge spread uniformly across a thin conducting disc, or across a piece of synthetic cloth. …

Figure 10.23Fig. 10.23: Surface charge distribution

What this figure shows. A flat, thin surface (drawn as a disc or rectangular sheet) is shown with small '+' (or dot) symbols distributed evenly all across its area, representing a charge q spread continuously and uniformly over the entire surface. A small element of area dA is marked out somewhere on the surface, indicating the small elemental charge dq=σ dAdq=\sigma\,dA used when integrating over a surface charge distribution …