(Answered) An insulating solid sphere of radius a has a uniform charge

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An insulating solid sphere of radius a has a uniform charge density and carries a total positive charge Q.

a) Calculate the electric field as a function of radius r from the center of the sphere for r > a.

b) Calculate the electric field at a point inside the sphere as a function of radius r from the center of the sphere for r < a

c) Suppose an alpha particle is sent from infinity at 2.09∗10^9 cm/s towards the center of the sphere, and that Q is +100e. Under these conditions, for what value of a does the alpha particle reach the center of the sphere with zero kinetic energy?

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