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

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

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

symmetry argument clearly as well as choice for Gaussian surface used 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 cylindrical capacitor.

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Expert Solution

genius_generous answered 1 year ago

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