Find the electric field everywhere of an infinite uniform line charge with total charge Q. Sol. Using Gauss's Law: Bepsilon subscript 0 EA = | E0 Since, its the line charge we use the area of a cylinder surrounding the line charge E*2T L= | E0 But all the charged get enclosed by the cylinder area, so denc = Q Deriving, we get: E = (1/2 TEO )*( /rL)

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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 dA =
epsilon subscript 0
EA =
Since, its the line charge we use the area of a cylinder surrounding the line charge
E*2TT
L=
But all the charged get enclosed by the cylinder area, so
denc = Q
Deriving, we get:
E = (1/2 TTEO )*(
/rL)
Transcribed Image Text:Find the electric field everywhere of an infinite uniform line charge with total charge Q. Sol. Using Gauss's Law: DE dA = epsilon subscript 0 EA = Since, its the line charge we use the area of a cylinder surrounding the line charge E*2TT L= But all the charged get enclosed by the cylinder area, so denc = Q Deriving, we get: E = (1/2 TTEO )*( /rL)
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