A point charge is placed a distance d > R from the center of an equally charged,

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A point charge is placed a distance d > R from the center of an equally charged, isolated, conducting sphere of radius R.

a) Inside of what distance from the surface of sphere in the point charge attracted rather than repelled by charged sphere.

b) What is the limiting value of the force of attraction when the point charge is located at a distance "a" (where a=d-r) from the surface of the sphere if a<2.

c) What are the results for parts a and b if the charge on the sphere is twice (half) as large as the point charge, but still the same sign?

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