Statement of a problem № 42228


A solid conducting sphere of radius R carries a charge Q. Calculate the electric-field energy density at a point a distance r from the center of the sphere for (a) r < R and (b) r > R. (c) Calculate the total electric-field energy associated with the charged sphere. (d) Explain why the result of part (c) can be interpreted as the amount of work required to assemble the charge Q on the sphere. (e) By using Eq. (24.9) and the result of part (c), show that the capacitance of the sphere is as given in Problem 24.67.

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