Consider an infinitely long cylinder of radius R a. The cylinder carries a non-u
ID: 2134588 • Letter: C
Question
Consider an infinitely long cylinder of radius R a. The cylinder carries a non-uniform volume charge density tau that is inversely proportional to the distance from the axis of the cylinder tau = alpha/r where alpha is the proportionality constant (in units of C/m 2) and r is the distance from the axis of the cylinder. Based on the value of the charge density given, what is the symmetry of this problem? Apply Gauss's law to calculate the electric field 1) at any point inside the cylinder and 2) at any point outside the cylinder. Hint: the differential volume element in cylindrical coordinates is dV = rdrd theta dz. To calculate the total charge from the charge density in a cylinder of radius R and length L , remember that theta goes from 0 to 2 pi, r goes from 0 to R, and z goes from 0 to L.Explanation / Answer
http://web.mit.edu/8.02t/www/materials/ExamPrep/exam1/exam1_conflict_solutions.pdf