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Method of images for two charges and two planes 
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#1
Oct1109, 03:28 PM

P: 68

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 zaxis 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 zdirection) 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? 


#2
Oct1109, 11:23 PM

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