12. A very long cylinder with Radius R has charge distributed throughout its volume and on...

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12. A very long cylinder with Radius R has charge distributed throughout its volume and on its surface. The volume charge density depending on the distance s from the axis of the cylinder as p = po where po is just a constant. The charge on the surface is uniform- the surface charge density oo is constant (a) Use Gauss's Law to find the electric field (s<R) and outside (s>R) the cylinder. Note: be clear about your choice of Gaussian surface, the flux through these surfaces, and how much charge they contain (b) Show tht the electric field has the correct discontinuity at the surface of the cylinder (s-R) 13. Find the total electric fiux through a closed cylinder containing a line charge along its axis with linear charge density A = A9(1-) if the cylinder and the line charge extend from x=0 to x=h. the 12. A very long cylinder with Radius R has charge distributed throughout its volume and on its surface. The volume charge density depending on the distance s from the axis of the cylinder as p = po where po is just a constant. The charge on the surface is uniform- the surface charge density oo is constant (a) Use Gauss's Law to find the electric field (s<R) and outside (s>R) the cylinder. Note: be clear about your choice of Gaussian surface, the flux through these surfaces, and how much charge they contain (b) Show tht the electric field has the correct discontinuity at the surface of the cylinder (s-R) 13. Find the total electric fiux through a closed cylinder containing a line charge along its axis with linear charge density A = A9(1-) if the cylinder and the line charge extend from x=0 to x=h. the

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