(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider two charges, +q each, placed between two grounded plates at a distance d along the z-axis from each plate. thus, the potential V(x,y,-d) = 0 and V(x,y,d) = 0 and the charges are placed at (+R/2,0,0) and (-R/2,0,0) being a distance R apart. Draw the location and magnitude of the image charges needed to solve for the potential in the region between the plates.

2. Relevant equations

I've assumed two charges of -aq (a being a proportionality constant), one placed on the other side of plate a and the other on the opposite side of plate b at distances of h and -h.

3. The attempt at a solution

I'm assuming that one can calculate the potential (in the z-direction) at d and -d from all four charges and equate them to zero by the boundary conditions. At that point, I'm left with the equation a(d^2-(R/2)^2) = d^2 - h^2. If I only have one equation, how can I solve for both a and h? Or am I going about this the wrong way?

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# Method of images for two charges and two planes

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