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the notion useful ce from a ze of the ic field ults for x axis such that the x axis ich disk. ( Figure 1) The disk centered at x = 0 has positive charge density n, and the disk centered at a = a has negative charge density-n, where the charge density is charge per unit area. Part A What is the magnitude E of the electric field at the point on the x axis with x coordinate a/2? Express your answer in terms of ŋ, R, a, and the permittivity of free space €0. View Available Hint(s) IVE ΑΣΦ ?

the notion useful ce from a ze of the ic field ults for x axis such that the x axis ich disk. ( Figure 1) The disk centered at x = 0 has positive charge density n, and the disk centered at a = a has negative charge density-n, where the charge density is charge per unit area. Part A What is the magnitude E of the electric field at the point on the x axis with x coordinate a/2? Express your answer in terms of ŋ, R, a, and the permittivity of free space €0. View Available Hint(s) IVE ΑΣΦ ?

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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Frequently in physics, one makes simplifying approximations. A common one in electricity is the notion of infinite charged sheets. This approximation is useful when a problem deals with points whose distance from a finite charged sheet is small compared to the size of the sheet. In this problem, you will look at the electric field from two finite sheets and compare it to the results for infinite sheets to get a better idea of when this approximation is valid. Figure + < 1 of 1 VX Consider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis such that the x axis runs through the center of each disk. ( Figure 1) The disk centered at x = 0 has positive charge density n, and the disk centered at x = a has negative charge density -n, where the charge density is charge per unit area. Part A What is the magnitude E of the electric field at the point on the x axis with x coordinate a/2? Express your answer in terms of n, R, a, and the permittivity of free space €0. ► View Available Hint(s) E = α V ◄ ΑΣΦ В B Y P d O Submit Previous Answers € n T Ω Ф S Ꮎ X E K Y 2 3 X ? μ
Transcribed Image Text:Frequently in physics, one makes simplifying approximations. A common one in electricity is the notion of infinite charged sheets. This approximation is useful when a problem deals with points whose distance from a finite charged sheet is small compared to the size of the sheet. In this problem, you will look at the electric field from two finite sheets and compare it to the results for infinite sheets to get a better idea of when this approximation is valid. Figure + < 1 of 1 VX Consider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis such that the x axis runs through the center of each disk. ( Figure 1) The disk centered at x = 0 has positive charge density n, and the disk centered at x = a has negative charge density -n, where the charge density is charge per unit area. Part A What is the magnitude E of the electric field at the point on the x axis with x coordinate a/2? Express your answer in terms of n, R, a, and the permittivity of free space €0. ► View Available Hint(s) E = α V ◄ ΑΣΦ В B Y P d O Submit Previous Answers € n T Ω Ф S Ꮎ X E K Y 2 3 X ? μ
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Electric field on the axis of charged disc 

E = σ/2ε₀[1 - {x/(x²+R²)1/2 }]

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