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Consider a cylindrical capacitor made out of two \"long\" metal cylindrical shells of length L. The...

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Physics

Consider a cylindrical capacitor made out of two \"long\" metalcylindrical shells of length L. The outer one has a radius R andthe inner one has a radius r. Now Q Coulombs of charge are removedfrom the outer cylinder and moved to the inner cylinder.

-Using Gauss's Law, derive an expression for the field in thegap between cylindrical shells. Please state the

symmetry argument clearly as well as choice for Gaussian surfaceused and why.

-Now that you have the field, take a unit positive charge for a\"walk\" from one cylinder to the other and find the work done,

and thus calculate the capacitance of the cylindricalcapacitor.

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