6. A long aluminum cylinder of radius R is charged so that it has a uniform charge per unit length on its surface of 2. a) Find the electric field inside and outside the cylinder. b) Find the electric potential inside and outside the cylinder if the potential at distance 100R is zero. c) Plot electric field and electric potential as a function of distance from the center of the rod.
6. A long aluminum cylinder of radius R is charged so that it has a uniform charge per unit length on its surface of 2. a) Find the electric field inside and outside the cylinder. b) Find the electric potential inside and outside the cylinder if the potential at distance 100R is zero. c) Plot electric field and electric potential as a function of distance from the center of the rod.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Expert Solution
Step 1
Given:
The radius of the cylinder is R.
The charge per unit length is .
Let l is the length of the cylinder, r is the radius of the imagine Gaussian surface and q is the charge enclosed.
The expression for charge enclosed is:
Part (a)
The electric field inside the cylinder is zero as the charge inside the Gaussian surface is zero.
Thus, the electric field inside the cylinder is:
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