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4. a. Show that the electric field vanishes everywhere inside a uniformly charged hollow sphere. This...

4. a. Show that the electric field vanishes everywhere inside a uniformly charged hollow sphere. This is done as part of example 22.5 in the book.

b. Use this result and a symmetry argument to show that the the field in the equatorial plane of a (hollow) hemisphere is perpendicular to the plane (not just on the axis of rotational symmetry).

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