Electric field from an infinite line of charge. An infinite line of charge with linear charge density +λ is shown in the figure. Use Gauss' Law to find the electric field, E, in terms of €o, λ, II, and r - the distance away from the line of charge. Gaussian Surface We can do this in steps: 1. Draw field lines coming out of the infinite line of charge. 2. Calculate the enclosed charge. You will need to use ratios here. A is the charge per unit length. You will express the charge in terms of the length, L, of the Gaussian Surface. (This will cancel out later). 3. Calculate the flux in terms of the field, E. Do this in segments - the round part of the cylinder and then the two flat circles on the ends. Note that some of these will have zero net flux because the field lines do not go through the surface. For the surface(s) that do have a flux, you will not need to integrate because E is constant at the surface. 4. Use Gauss' Law to solve for E.

Electric field from an infinite line of charge. An infinite line of charge with linear charge density +λ is shown in the figure. Use Gauss' Law to find the electric field, E, in terms of €o, λ, II, and r - the distance away from the line of charge. Gaussian Surface We can do this in steps: 1. Draw field lines coming out of the infinite line of charge. 2. Calculate the enclosed charge. You will need to use ratios here. A is the charge per unit length. You will express the charge in terms of the length, L, of the Gaussian Surface. (This will cancel out later). 3. Calculate the flux in terms of the field, E. Do this in segments - the round part of the cylinder and then the two flat circles on the ends. Note that some of these will have zero net flux because the field lines do not go through the surface. For the surface(s) that do have a flux, you will not need to integrate because E is constant at the surface. 4. Use Gauss' Law to solve for E.

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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