Field due to a Long Uniformly Charged Solid Cylinder

Let be the volumetric charge density and R be the radius of the cylinder

Here, the field is radically away from x-axis having a cylindrical symmetry.

. Now by Gauss law,

By Gauss law

Let be the volumetric charge density and R be the radius of the cylinder

Here, the field is radically away from x-axis having a cylindrical symmetry.

**Case I**: r > R. Consider a Gaussian cylinder of length I and radius r about x-axis. Electric field lines come out radically. Let E be the magnitude of electric field, then. Now by Gauss law,

**Case II**: r < R.By Gauss law

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