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The electric
field of an infinite line charge with a uniform linear charge density can be
obtained by a using Gauss' law. Considering a Gaussian surface in the form of a
cylinder at radius r, the electric field has the same magnitude at every
point of the cylinder and is directed outward. The electric flux is then just
the electric field times the area of the cylinder.
Gauss' Law
The Gauss' law is a
method, widely used to calculate the electric fields form symmetrically charged
objects
The electric flux through an area is defined as
the electric field multiplied by the area of the surface projected in a plane
perpendicular to the field. Gauss's Law is a general law applying to any closed
surface. It is an important tool since it permits the assessment of the amount
of enclosed charge by mapping the field on a surface outside the charge
distribution. For geometries of sufficient symmetry, it simplifies the
calculation of the electric field.
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