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Problem 2: A long coaxial cable (see figure) carries a uniform volume charge density Pl on the inner cylinder (radius a), and a uniform surface charge density p2 on the outer cylindrical shell (radius b) p is negative and is of just the right magnitude that the cable asa whole is electrically neutral a. Find the electric field in each of the three regions: i. inside the inner cylinder (r<a) ii. between the cylinders (a <r<b) iii. outside the cable (r> b) b. Plot E as a function of r. Answers: (a) 0) ^ (ü) P() ii o (b) Plot! 2E

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