A long conducting cylindrical rod of length L with a total charge +q and radius a is surrounded by a long coaxial conducting cylindrical shell of the same length with an inner radius b and an outer radius c containing a total charge of -4q as shown in the figure on the right. The length Lis much larger than a, b, and c. (a) What is the magnitude and direction of the electric field outside the conductors? (b) How much charge are there on the inner wall of the shell? (c) Calculate electric potential difference between the conductors. (d) Obtain an expression for the capacitance C of the conductor in terms of the parameters (a, b, c, and L) of the two conductor -4q system.

A long conducting cylindrical rod of length L with a total charge +q and radius a is surrounded by a long coaxial conducting cylindrical shell of the same length with an inner radius b and an outer radius c containing a total charge of -4q as shown in the figure on the right. The length Lis much larger than a, b, and c. (a) What is the magnitude and direction of the electric field outside the conductors? (b) How much charge are there on the inner wall of the shell? (c) Calculate electric potential difference between the conductors. (d) Obtain an expression for the capacitance C of the conductor in terms of the parameters (a, b, c, and L) of the two conductor -4q system.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 71P: A solid cylindrical conductor of radius a is surrounded by a concentric cylindrical shell of inner...

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