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Method of images

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See attachment with diagram.

The method of images as applied to a grounded conducting sphere as shown. The image charge is Q'=-Q R/D located at a=R^2/D. Show that V=0 at an arbitrary point on the surface of the sphere.

Calculate the induced surface charge density sigma(theta) and also evaluate the total induced surface charge.

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Solution Summary

Let's find the electrostatic potential at point P as a sum of potentials from the read charge and the image charge (blue).

Solution Preview

Figure above shows the image charge and the conducting sphere. Let's find the electrostatic potential at point P as a sum of potentials from the read charge and the image charge (blue).

but we know that , hence:
...

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