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The electric field along the axis of a uniformly charged

Physics for Scientists and Engineers with Modern Physics | 9th Edition | ISBN: 9781133954057 | Authors: Raymond A. Serway John W. Jewett ISBN: 9781133954057 230

Solution for problem 40 Chapter 23

Physics for Scientists and Engineers with Modern Physics | 9th Edition

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Physics for Scientists and Engineers with Modern Physics | 9th Edition | ISBN: 9781133954057 | Authors: Raymond A. Serway John W. Jewett

Physics for Scientists and Engineers with Modern Physics | 9th Edition

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Problem 40

The electric field along the axis of a uniformly charged disk of radius R and total charge Q was calculated in Example 23.9. Show that the electric field at distances x that are large compared with R approaches that of a particle with charge Q 5 spR2. Suggestion: First show that x/(x 2 1 R2)1/2 5 (1 1 R2/x 2)21/2 and use the binomial expansion (1 1 d)n < 1 1 nd, when d ,, 1.

Step-by-Step Solution:
Step 1 of 3

Chapter4:Two-DimensionalKinematics Ittakes1numbertospecifyapositionona1-dimensionalline,2numbers fora2-dimensionalspace,and3numbersfora3-dimensionalspace. Tocreateacoordinatesystemin2-dimensionstakeapointattheoriginand definetwoperpendiculardirectionstoorientthesystem. *curlynotaionwithmagnitudeanddirectionasthetwonumber s;itispolar planesystem Paraenthesisnotationwithtwonumbersascompoents;Cartesian coordinates. Anythingmovingalongacurvedpathhasaninstantaneousvelocityvector whosedirectionistangenttothecurve,ateachpoint ofthepath,andwhose magnitufeistheinstantaneousspeedoftheobjectalongthepath. Accelerationistherateofchangeofvelocity,notspeed. -accelerationincludesc

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Chapter 23, Problem 40 is Solved
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Textbook: Physics for Scientists and Engineers with Modern Physics
Edition: 9
Author: Raymond A. Serway John W. Jewett
ISBN: 9781133954057

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The electric field along the axis of a uniformly charged