Image charges for planar and spherical boundaries

[Jefferson Yun]

Homework Statement

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With this problem, how should I set image charges so as to satisfy the same boundary condition?
And if possible, could you let me know how can that image charge configuration be deduced?
Thanks for reading.

Homework Equations

The Attempt at a Solution

Well, I first put images charges just at the opposite side of the planar and spherical boundary. But I don't know what to do next.

 

[arpon]

I guess the boundary is like this in 3D, right? :

Do you know how to set up image charge for grounded conducting plane and for grounded conducting sphere?

 

[Jefferson Yun]

I guess the boundary is like this in 3D, right? :
View attachment 107796

I guess the boundary is like this in 3D, right? :
View attachment 107796

Do you know how to set up image charge for grounded conducting plane and for grounded conducting sphere?

Do you know how to set up image charge for grounded conducting plane and for grounded conducting sphere?

No, actually it was 2d. But that situation is confusing as well. Could you let me know how should I set image charges in that situation, if possible?
And I know how to set the image charges for a ground conducting sphere or a plane. I know how to for a hemispherical bump attached on a plane as well.

 

[arpon]

If you know how to set mirror charges for grounded conducting plane and sphere, this picture is enough hint for you.