1. The problem statement, all variables and given/known data A rather large non conducting slab of area A and thickness d has a charge density given by ρ = αx2. The origin is through the center of the slab. That is, it bisects the slab into two equal volumes of d/2 thickness and with an area A, with -L/2 to the left of x=0 and L/2 to the right of x=0. Suppose there is a large thin plate of UNIFORM charge density sigma on the left side of the aforementioned slab. What is the E field (everywhere) due to this system? Derive an expression for the electric field for the thin plate and then apply the superposition principle. Also give the domains on X for the regions chosen. Note: You will not have just one answer. 3. The attempt at a solution I found the E field everywhere due to the slab & due to the thin plate. Now for the E field everywhere, I should break this problem down into four regions and find the superposition of E field in these regions (due to slab and plate): x<-d/2 -d/2 < x < 0 0<x<d/2 x>d/2 Is this correct?