Find the electric field everywhere of an infinite uniform line charge with total charge Q.Sol.Using Gauss's Law:PE - dÀ =EA =| E0Since, its the line charge we use the area of a cylinder surrounding the line chargeE*2TL=But all the charged get enclosed by the cylinder area, sodenc = QDeriving, we get:E = (1/2 TE0 )*(/rL)

Gauss law, ∮E⇀.dA⇀=qenc/∈0 where, E-electric field, A-area enclosed, qenc - charge enclosed, ∈0-…

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Find the electric field everywhere of an infinite uniform line charge with total charge Q.

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

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Question

Find the electric field everywhere of an infinite uniform line charge with total charge Q.
Sol.
Using Gauss's Law:
PE - dÀ =
EA =
| E0
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 )*(
/rL)

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