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Find the electric field in all regions for a coazial wire composed of a solid cylinder and a cylindrical shell, both with uniform volumetric charge distributions.

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Step 1

Let us consider the coaxial cable wire of length L

The solid cylinder within the hollow cylinder is the actual configuration

solid cylinder radius=a

volume of the solid cylinder, 

v=πa2LLet the uniform volumetric charge distribution be ρ (constant)The volume of the hollow wire, V=πc2-b2LHere also the volumetric charge distribution will be ρNow let us consider the Gaussian surface of radius r This r will be different for different regions.case 1: r acase 2: arbcase 3: brccase 4: rc

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