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Spherical Electric Field

A solid insulating sphere of radius R has an electric charge uniformly distributed throughout its volume. The charge per unit volume is p. A) Show that outside the sphere the electric field is given by E = (pR3/3E0r2), where r is the distance from the center of the sphere. B) Show that the field inside the sphere is given by (pr/3E0). C) Draw a graph of the field from r = 0 to r = 3R. (Hint: Use Gauss's law and remember that it is the total charge within the Gaussian surface that contributes to the electric field at that surface.)

Solution Summary

This solution includes calculations, explanation and a graph in an attached Word document.