# How to find the electric field at a point based on a uniformly charged surface

What is the general solution to finding the electric field at a point based on some (or multiple) charged surfaces. I know that we can perform a line/surface integral if a charge is close to a wire or a surface. Furthermore, seeing as the surface is uniformly charged, we can use a Gaussian surface to eliminate the integral and write it as:

$$E_{point} = \frac{\lambda}{2\pi\epsilon_0 R}$$

Where $\lambda$ is the constant charge and $R$ is the distance of that charge from the wire.

Does this formula change when we have a charged surface instead of a wire? And what if there is more than one wire/surface acting on the charge? Are these formulas additive?

• Is the "surface" an infinite charged plain? – Maksim Zholudev Jan 31 '12 at 14:54
• If it is as Maksim asked an infinite charged plain, you can use the method of image charges. The infinite plain will be a mirror, just put another charge of the opposite sign at double the distance from the infinite plain. – WalyKu Feb 18 '15 at 0:19