Electric field due to an infinite linear charge distribution
First, we shall look for the symmetry of the electric field. The resultant of d
1 and d2 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.
First, we shall look for the symmetry of the electric field. The resultant of d
1 and d2 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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