# Potential of Concentric Cylindrical Insulator and Conducting Shell

by hime
Tags: insulator
 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 z-axis 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 z-axis (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=7e-8C/m lambda shell= -4.1e-6C/m lambda total=lambdacylinder+lambdashell= -3.39e-7 3. The attempt at a solution for part a: Vc-Va= 2klambdatotal*(ln(c)-ln(a)) = -8 056.39263 for part b: V(a) would be greater than zero because the there would be charge .41e-6 C/m accumulating on the outer surface of the insulating shell. is the right way to do it??? please help!

 Related Discussions Introductory Physics Homework 7 Introductory Physics Homework 1 Introductory Physics Homework 5 Introductory Physics Homework 5 Introductory Physics Homework 2