Question

. 110 points) An infinitely long cable is made up of nested concentricity Copper conductor with net charge zero and radia. The next largest inder uniform charge density and outer radiussh. The outermost lideri charge tero and outer radiusec. s made up of nested concentric kinders. The innermost cylinders est cylinder is a nylon Insulator with a er is an aluminum conductor with net Infinitely long cylinder net charge rero Insulator with dep conductor with net charger a) [8 points) Calculate the charge density residing on the inner wall of the outermost conductor. Points will be awarded for each key step you show correctly, because if you were programming a computer to solve this problem, you'd have to explicitly tell the computer what to do (since computer programs don't know how to skip steps). b) [2 points) Calculate the charge density residing on the outer wall of the outermost conductor,

Answer 1

Sol - Greven charge density of cylinder of eradius is . For calculation priopose we are cons length 1 of the ha infinitely long cylinder Now charge within the nylon cylinder, q=Sh di = es se sds dy dz Ssds s dosaz S (6²a2) ane - TIS ₂ (bh-ahl Thus charge density residing on the inner wall of the outermost conductor (2.0.). (a) Jinner- q CA is inner surface area of I aluminium conductor of length e - TI 4. (6²-0²) l - . (6²-a²) 2 tl be 26 A (6) Similarity Souton T & ₂ (6 tahl - 2 тесі b (bha ²) 20