A cylindrical capacitor consists of a long wire that has a

Chapter , Problem 44

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A cylindrical capacitor consists of a long wire that has a radius a length and a charge The wire is enclosed by a coaxial outer cylindrical shell that has an inner radius length and charge (a) Find expressions for the electric field and energy density as a function of the distance from the axis. (b) How much energy resides in a region between the conductors that has a radius a thickness and a volume (c) Integrate your expression from Part (b) to find the total energy stored in the capacitor. Compare your result with that obtained by using the formula in conjunction with the known expression for the capacitance of a cylindrical capacitor.

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