Find the electric field everywhere of an infinite uniform line charge with total charge Q. Sol. Using Gauss's Law. EA = EO Since, its the line charge we use the area of a cylinder surrounding the line charge L= But all the charged get enclosed by the cylinder area, so Cenc =Q Deriving we get E= (1/2 TEg M IrL)

University Physics Volume 2
18th Edition
ISBN:9781938168161
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Chapter6: Gauss's Law
Section: Chapter Questions
Problem 22P: Find the electric flux through a rectangular area 3 cm x 2 cm between parallel plates where there is...
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Find the electric field everywhere of an infinite uniform line charge with total charge Q.
Sol.
Using Gauss's Law:
/EO
EA =
Eo
Since, its the line charge we use the area of a cylinder surrounding the line charge
E*2
L=
But all the charged get enclosed by the cylinder area, so
Cenc =Q
Deriving we get:
E= (1/2 TEO 1
IrL)
Transcribed Image Text:Find the electric field everywhere of an infinite uniform line charge with total charge Q. Sol. Using Gauss's Law: /EO EA = Eo Since, its the line charge we use the area of a cylinder surrounding the line charge E*2 L= But all the charged get enclosed by the cylinder area, so Cenc =Q Deriving we get: E= (1/2 TEO 1 IrL)
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