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

An infinite conducting sheet has a hemispherical bubble of radius a. (Refer to the diagram)

2. The attempt at a solution

ok i know the boundary conditions should be (Phi refresents the potential)

And we are working in CGS units... units with which i am not entire comfortable.

Z is the vertical and Y is the horizontal

[itex] \Phi(y, \sqrt{a^2 - y^2}) = 0 [/itex] for [itex] -a\leq y\leq a [/itex]

[itex] \Phi(y,0) = 0 [/itex] where y<= -a and y=> a

Should i be considering the 3D case because it does say bubble...

i know how to do this for a plane and a sphere but this 'mixed' case has got me confused.

i thought of locating a charge at a point (-z0+2a,0) and that satisifes condition 1 but not condition 2

it doesnt work for any point other tan this one so no..

maybe i am not thinking about something and so im stuck!

i think that there would be more than one point charge on th segment y = -z0 +2a

Thanks for your input!

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# Method of images and infinite conducting sheet

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