Charge on a grounded conductor w/ method of images

1. Oct 18, 2011

ralqs

Why is it that whenever the method of images is used to solve for the induced charge on a grounded conductor in the presence of a point charge, the total charge is just the same as the image charge?

2. Oct 21, 2011

Naty1

3. Oct 21, 2011

clem

Gauss's law says that $$\oint{\bf E\cdot dA}$$ is given by the total charge inside.
This is either the actual surface charge or the image charge, since they give the same E.