Problem-Solving Guide for Gauss’s Law

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Presentation transcript:

Problem-Solving Guide for Gauss’s Law 1.Use the symmetry of the charge distribution to determine the pattern of the field lines . 2.Choose a Gaussian surface for which E is either parallel to dA perpendicular to dA 3.If E is parallel to dA, then the magnitude E should be constant over this part of the surface. The integral then reduces to a sum over area elements.

Example24.1: spherical shell of radius R has charge Q uniformly distributed over its surface. Find the field at points (a) outsides, and (b) inside the shell.

Example24.2: A nonconducting uniformly charged sphere of radius R has a total charge Q uniformly distributed throughout its volume. Find the field (a ) inside, (b) outside, the sphere.

Example24.3: An infinite line of charge has a linear charge density λ C/m. Find the electric field at a distance r from the line.

Example24.4: Find the field due to an infinite flat sheet of charge with a uniform areal charge density σC/m2

Example24.5: Find the field due to an infinite conducting plate with a uniform surface charge density σC/m2.

Discussion PHYSLET PHYSICS pro: 23.2,24.10,24.5

Exercises of chapter 24 Questions:5,10, Exercises:3,16,21,24, Problem:1,2,6,11,14