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Potential of Concentric Cylindrical Insulator and Conducting Shellby hime
Tags: insulator 
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#1
Feb611, 06:54 PM

P: 26

1. The problem statement, all variables and given/known data
An infinitely long solid insulating cylinder of radius a = 3.2 cm is positioned with its symmetry axis along the zaxis as shown. The cylinder is uniformly charged with a charge density ρ = 22 μC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 15 cm, and outer radius c = 20 cm. The conducting shell has a linear charge density λ = 0.41μC/m. A) What is V(c)  V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator? B)Defining the zero of potential to be along the zaxis (x = y = 0), what is the sign of the potential at the surface of the insulator? 2. Relevant equations E.dA=qenclosed/eo=2klambdatotal/r V=integral(E.dr)=2klambdatotal*ln(r) lambda cylinder=7e8C/m lambda shell= 4.1e6C/m lambda total=lambdacylinder+lambdashell= 3.39e7 3. The attempt at a solution for part a: VcVa= 2klambdatotal*(ln(c)ln(a)) = 8 056.39263 for part b: V(a) would be greater than zero because the there would be charge .41e6 C/m accumulating on the outer surface of the insulating shell. is the right way to do it??? please help! 


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