Find the electric field everywhere of an infinite uniform line charge with total charge Q. Sol. Using Gauss's Law: EA = Since, its the line charge we use the area of a cylinder surrounding the line charge E*2T | E0 But all the charged get enclosed by the cylinder area, so denc = Q Deriving, we get: E = (1/2 TE0 )*( IrL) %3D

University Physics Volume 2
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ISBN:9781938168161
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Chapter6: Gauss's Law
Section: Chapter Questions
Problem 11CQ: Is the term in Gauss's law the electric field produced by just the charge inside the Gaussian...
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Find the electric field everywhere of an infinite uniform line charge with total charge Q.
Sol.
Using Gauss's Law:
dA=
EA =
|| E0
Since, its the line charge we use the area of a cylinder surrounding the line charge
E*2 T
| E0
L=
But all the charged get enclosed by the cylinder area, so
denc = Q
%3D
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: dA= EA = || E0 Since, its the line charge we use the area of a cylinder surrounding the line charge E*2 T | E0 L= But all the charged get enclosed by the cylinder area, so denc = Q %3D Deriving, we get: E = (1/2 TE0 )*(| IrL)
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