Electric field due to an infinite linear charge distribution

First, we shall look for the symmetry of the electric field. The resultant of d

If a long linear charge distribution is kept along x-axis, at any point, field is directed radically away from x-axis. The field has a cylindrical symmetry.

To find electric field, we enclose the distribution in a cylinder of radius r and length /

The flux linked with the cylinder is

By Gauss law, [where λ is linear charge density]

Variation of E with r is also shown graphically here.

First, we shall look for the symmetry of the electric field. The resultant of d

_{1}and d_{2}is along y-axis.If a long linear charge distribution is kept along x-axis, at any point, field is directed radically away from x-axis. The field has a cylindrical symmetry.

To find electric field, we enclose the distribution in a cylinder of radius r and length /

The flux linked with the cylinder is

By Gauss law, [where λ is linear charge density]

Variation of E with r is also shown graphically here.

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