this question, Figure 2 (see image). Consider the electric field of a disk of radius R and surface charge density σ along the z-axis as: (see image) a) Use this expression to find the electric field of the disk very close to the disk i.e. Z << R such that the disk looks like an infinite plane with surface charge density σ. b) Use a Gaussian cylinder (pill box) to find the electric field of the plate at this limit (Z << R such that the disk looks like an infinite plane), and compare it with your answer from part a.
this question, Figure 2 (see image). Consider the electric field of a disk of radius R and surface charge density σ along the z-axis as: (see image) a) Use this expression to find the electric field of the disk very close to the disk i.e. Z << R such that the disk looks like an infinite plane with surface charge density σ. b) Use a Gaussian cylinder (pill box) to find the electric field of the plate at this limit (Z << R such that the disk looks like an infinite plane), and compare it with your answer from part a.
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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For this question, Figure 2 (see image). Consider the electric field of a disk of radius R and surface charge density σ along the z-axis as:
(see image)
a) Use this expression to find the electric field of the disk very close to the disk i.e. Z << R such that the disk looks like an infinite plane with surface charge density σ.
b) Use a Gaussian cylinder (pill box) to find the electric field of the plate at this limit (Z << R such that the disk looks like an infinite plane), and compare it with your answer from part a.
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