A capacitor is constructed of two coaxial conducting thin

Chapter , Problem 90

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A capacitor is constructed of two coaxial conducting thin cylindrical shells of radii and which have a length Acharge of is on the inner cylinder, and a charge of is on the outer cylinder. The region between the two cylinders is filled with a material that has a dielectric constant (a) Find the potential difference between the cylinders. (b) Find the density of the free charge on the inner cylinder and the outer cylinder. (c) Find the bound charge density on the inner cylindrical surface of the dielectric and on the outer cylindrical surface of the dielectric. (d) Find the total stored energy. (e) If the dielectric will move without friction, how much mechanical work is required to remove the dielectric cylindrical shell?

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