Find the electric field everywhere of an infinite uniform line charge with total charge Q. Sol. Using Gauss's Law: DE - dA = EA = Since, its the line charge we use the area of a cylinder surrounding the line charge E*2T L= But all the charged get enclosed by the cylinder area, so Genc =Q Deriving, we get: E (1/2 πεο IrL)

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter6: Gauss's Law
Section: Chapter Questions
Problem 65P: A long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit...
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Find the electric field everywhere of an infinite uniform line charge with total charge Q.
Sol.
Using Gauss's Law:
DE - dÀ =
EA =
Since, its the line charge we use the area of a cylinder surrounding the line charge
E*2T
L=
But all the charged get enclosed by the cylinder area, so
denc = Q
Deriving, we get:
E= (1/2 TE0 )*(
IrL)
Transcribed Image Text:Find the electric field everywhere of an infinite uniform line charge with total charge Q. Sol. Using Gauss's Law: DE - dÀ = EA = Since, its the line charge we use the area of a cylinder surrounding the line charge E*2T L= But all the charged get enclosed by the cylinder area, so denc = Q Deriving, we get: E= (1/2 TE0 )*( IrL)
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