Induced Charge Density on Sheet of Metal

[sandy.bridge]

Homework Statement

A charge is located a distance 'a' above a sheet of metal. The charge density induced on the sheet of metal is (-2aQ)/(4pi(ρ^2+a^2)^(3/2)).

Since there are no dimensions indicated for this plate, would it be plausible to assume that we are integrating from zero to infinity with the variable being ρ?

 

[Simon Bridge]

Depends on what you want to find.
But sure - that formula looks like the one for an infinite flat sheet of perfect, grounded, conductor.
You could verify it by just doing the math.