1. Using the method of images, consider the problem of a point charge q inside a hollow, grounded, conducting sphere of inner radius a. Find: (a) The potential inside the sphere. Your solution must include a proof that the potential vanishes on all points on the surface of the sphere. (b) The induced surface-charge density on the inside surface of the sphere.

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4. Using the method of images, consider the problem of a point charge q inside a
hollow, grounded, conducting sphere of inner radius a. Find:
(a) The potential inside the sphere. Your solution must include a proof that
the potential vanishes on all points on the surface of the sphere.
(b) The induced surface-charge density on the inside surface of the sphere.
Transcribed Image Text:4. Using the method of images, consider the problem of a point charge q inside a hollow, grounded, conducting sphere of inner radius a. Find: (a) The potential inside the sphere. Your solution must include a proof that the potential vanishes on all points on the surface of the sphere. (b) The induced surface-charge density on the inside surface of the sphere.
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