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Part II Problem. (10 Marks) 1. An infinitely long, insulating cylinder of radius R has a uniform charge density σ. a) Calculate using Gauss's law the position-dependent electric field inside and outside the cylinder. Draw the amplitude of the electric field in dependence of the distance from the axis of the cylinder. b) Calculate the position-dependent potential (i.e. the potential difference between a point and infinity) both inside and outside the cylinder. Draw the potential in dependence of the distance from the axis of the cylinder. R

Part II Problem. (10 Marks) 1. An infinitely long, insulating cylinder of radius R has a uniform charge density σ. a) Calculate using Gauss's law the position-dependent electric field inside and outside the cylinder. Draw the amplitude of the electric field in dependence of the distance from the axis of the cylinder. b) Calculate the position-dependent potential (i.e. the potential difference between a point and infinity) both inside and outside the cylinder. Draw the potential in dependence of the distance from the axis of the cylinder. R

College Physics
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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Part II Problem. (10 Marks) 1. An infinitely long, insulating cylinder of radius R has a uniform charge density σ. a) Calculate using Gauss's law the position-dependent electric field inside and outside the cylinder. Draw the amplitude of the electric field in dependence of the distance from the axis of the cylinder. b) Calculate the position-dependent potential (i.e. the potential difference between a point and infinity) both inside and outside the cylinder. Draw the potential in dependence of the distance from the axis of the cylinder. R
Transcribed Image Text:Part II Problem. (10 Marks) 1. An infinitely long, insulating cylinder of radius R has a uniform charge density σ. a) Calculate using Gauss's law the position-dependent electric field inside and outside the cylinder. Draw the amplitude of the electric field in dependence of the distance from the axis of the cylinder. b) Calculate the position-dependent potential (i.e. the potential difference between a point and infinity) both inside and outside the cylinder. Draw the potential in dependence of the distance from the axis of the cylinder. R
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