The electric field along the axis of a uniformly charged disk of radius R and total charge Q is given below. E, = 2xk, o ( + R)/2 Show that the electric field at distances x that are large compared with R approaches that of a partide with charge Q = GTR2. Suggestion: First show that x/(x + R2)1/2 = (1 + R2/x1/2 and use the binomial expansion (1 + 8)n= 1+ nổ when 8 « 1. (Do this on paper. Your instructor may ask you to turn in this work.)
The electric field along the axis of a uniformly charged disk of radius R and total charge Q is given below. E, = 2xk, o ( + R)/2 Show that the electric field at distances x that are large compared with R approaches that of a partide with charge Q = GTR2. Suggestion: First show that x/(x + R2)1/2 = (1 + R2/x1/2 and use the binomial expansion (1 + 8)n= 1+ nổ when 8 « 1. (Do this on paper. Your instructor may ask you to turn in this work.)
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter24: Electric Fields
Section: Chapter Questions
Problem 61PQ: A total charge Q is distributed uniformly on a metal ring of radius R. a. What is the magnitude of...
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