Electric potential due to a charged cylinder An infinitely longcharged cylinder of radius R with its axis along the z-axis has anRelectric potential V = k In –, where r is the distance between avariable point P(x, y) and the axis of the cylinder (r² = x² + y²)and k is a physical constant. The electric field at a point (x, y)in the xy-plane is given by E = -VV, where VV is the two-dimensional gradient. Compute the electric field at a point (x, y)with r > R.

The electric field is given by gradient of potential : E→=-∇V=∂V∂xi^+∂V∂yj^ Substituting, V=klnRr…

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