Question

A solid spherical charge insulator of radius R carries a uniform charge density of p. A)...

A solid spherical charge insulator of radius R carries a uniform charge density of p.

A) Derive an equation for the electric field as a function of the radical position inside the sphere using electric flux and a Gaussian surface of variable radius.

B) Derive an equation for the electric field as a function of the radial position outside the sphere.

C) Multiply your results from parts A and B with some test charge, are these results consistent with
coulombs law?

D) Sketch a graph of your results from parts A and B.

E) Redraw the graph if it was a conductor of the same shape and size, carrying the same total charge.
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