The electric field along the axis of a uniformly charged disk of radius R and total charge Q was calculated the given example. Show that the electric field at distances x that are large compared with R approaches that of a particle with charge Q = σπR2. Suggestion: First show that x/(x2 + R2)1/2 = (1 +R2/x2)-1/2 and use the binomial expansion (1 + δ)n ≈ 1 + nδ, when δ << 1. A disk of radius R has a uniform surface charge density o. Calculate the electric fieldat a point P that lies along the central perpendicular axis of the disk and a distance xfrom the center of the disk (Fig. 23.4).Figure 23.4 (Example 23.3)A uniformly charged disk ofdqradius R. The electric field at anaxial point Pis directed alongthe central axis, perpendicularto the plane of the disk.Rdr

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A disk of radius R has a uniform surface charge density o. Calculate the electric field at a point P that lies along the central perpendicular axis of the disk and a distance x from the center of the disk (Fig. 23.4). Figure 23.4 (Example 23.3) A uniformly charged disk of dq radius R. The electric field at an axial point Pis directed along the central axis, perpendicular to the plane of the disk. R dr

A disk of radius R has a uniform surface charge density o. Calculate the electric field at a point P that lies along the central perpendicular axis of the disk and a distance x from the center of the disk (Fig. 23.4). Figure 23.4 (Example 23.3) A uniformly charged disk of dq radius R. The electric field at an axial point Pis directed along the central axis, perpendicular to the plane of the disk. R dr

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...

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