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

A thin disk of radius R consists of a uniformly distributed total charge Q. The disk lies a distance D above a grounded perfectly conducting plane. The disk and the plane are parallel. Set the conducting plane in the x-y axis, and the z axis through the center of the disk.

R=0.1 m, the distance D = 2R = 0.2 m, and the charge Q=1/(9E9) Coulomb

Compute the potential along the axis through the center of the charged disk

2. Relevant equations

If it was a single point charge:

V(x,y,z) = 1/4*∏*[itex]\epsilon * [ q/ \sqrt{x^2+y^2+(z-d)^2} - q/ \sqrt{x^2+y^2+(z+d)^2}[/itex] ]

3. The attempt at a solution

I have a feeling I would solve this using the method of images with an imaginary disc of -q charge below the conducting plane. Would this be the same for the thin disc? With the given value turning it into this?

[itex][ 1/ \sqrt{x^2+y^2+(z-d)^2} - 1/ \sqrt{x^2+y^2+(z+d)^2}[/itex] ]

My second problem is to to calculate numerically the potential everywhere in space above the conducting plane. Could I get any hints as to how to do this?

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# Thin disc above grounded plane

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