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5) Gauss Law is only approximate for finite lines and sheets. In this section you will compare the results of Gauss' Law, calculated for ideal symmetries, with exact calculations using Coulomb’s Law. (If the difference between Gauss’ Law and exact calculation is less than 2%, it's “good enough for Physics 2 and MasteringPhysics.") a. Circular Disk: The electric field on the axis of a circular disk of charge density o is E,(z) = at a distance of z from the disk. Gauss’ Law predicts a field of E,(z) =. At what 2 +1 280 2ɛ0 value of z/R does the prediction of Gauss’ Law differ from Coulomb’s law by 2%? Explain your logic in finding this number.

5) Gauss Law is only approximate for finite lines and sheets. In this section you will compare the results of Gauss' Law, calculated for ideal symmetries, with exact calculations using Coulomb’s Law. (If the difference between Gauss’ Law and exact calculation is less than 2%, it's “good enough for Physics 2 and MasteringPhysics.") a. Circular Disk: The electric field on the axis of a circular disk of charge density o is E,(z) = at a distance of z from the disk. Gauss’ Law predicts a field of E,(z) =. At what 2 +1 280 2ɛ0 value of z/R does the prediction of Gauss’ Law differ from Coulomb’s law by 2%? Explain your logic in finding this number.

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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5) Gauss Law is only approximate for finite lines and sheets. In this section you will compare the results of Gauss' Law, calculated for ideal symmetries, with exact calculations using Coulomb's Law. (If the difference between Gauss' Law and exact calculation is less than 2%, it's “good enough for Physics 2 and MasteringPhysics.") a. Circular Disk: The electric field on the axis of a circular disk of charge density o is E,(z) = 1 at a distance of z from the disk. Gauss’ Law predicts a field of E,(z) At what 280 280 +1 V value of z/R does the prediction of Gauss' Law differ from Coulomb's law by 2%? Explain your logic in finding this number. b. Straight Line: In activity 21D we dragged you through the calculation of the electric field a distance r 1 from center of a line of charge of length L. The result was . E = The prediction for an 2trɛ, infinite line is E At what value of r/L does the prediction of Gauss' Law differ from Coulomb’s law by 2%? Explain your logic in finding this number.
Transcribed Image Text:5) Gauss Law is only approximate for finite lines and sheets. In this section you will compare the results of Gauss' Law, calculated for ideal symmetries, with exact calculations using Coulomb's Law. (If the difference between Gauss' Law and exact calculation is less than 2%, it's “good enough for Physics 2 and MasteringPhysics.") a. Circular Disk: The electric field on the axis of a circular disk of charge density o is E,(z) = 1 at a distance of z from the disk. Gauss’ Law predicts a field of E,(z) At what 280 280 +1 V value of z/R does the prediction of Gauss' Law differ from Coulomb's law by 2%? Explain your logic in finding this number. b. Straight Line: In activity 21D we dragged you through the calculation of the electric field a distance r 1 from center of a line of charge of length L. The result was . E = The prediction for an 2trɛ, infinite line is E At what value of r/L does the prediction of Gauss' Law differ from Coulomb’s law by 2%? Explain your logic in finding this number.
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