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The graphic shows the infinitesimal contributions to the electric field in a point at a distance

above the center of a charged disk with uniform charge density and radius

. In cylindrical coordinates, each contribution is proportional to

, where

and

are the radial and angular coordinates.

Integrating, the electric field is given by

where

is the permittivity of free space and

is a unit vector in the

direction.

The result depends only on the contributions in

, because the angular contributions cancel by symmetry.

When

, the value of

is simply

, which corresponds to the electric field of a infinite charged plane.

Contributed by: Enrique Zeleny

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Axial Electric Field of a Charged Disk