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I'VAn infinitely long straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The solld wire has a

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I'VAn infinitely long straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The solld wire has a charge per unit length of 2 C/m, and the hollow cylinder has net charge per unit length of +2 2. The inner radius of the cylinder is a, while the outer radius is b. From this information, use Gauss's law to find (a) the charge per unit length on the inner and outer surfaces of the hollow cylinder. (b) the surface charge densities of and c, on the inner and outer surfaces of the hollow cylinder. (Hint: the charge per length ) must be spread out over a cylindrical surface of some length.) (e) the electric field at a radius . between the wire and the inner surface of the cylinder. (d) the electric field at a radius r outside the cylinder. (e) Bonus: calculate the change In electric potential from the outer surface of the shell (radius = 6) to some point outside (radius r, r > b)

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