The electric field inside an insulating infinite length solid cylinder

JesseAbberton · May 14, 2026

TL;DR: Suppose there is a cylinder with infinity length and a radius R. At distance R/2, we have to find the electric field present inside. Confirmation needed regarding the method.

We are given volumetric charge density as ## \rho ## and we have to find the field at the distance R/2. Is my procedure valid?

Handwritten Gauss's law derivation for the field inside a uniformly charged infinite solid cylinder, with a sketch of the cylinder and a Gaussian cylinder of radius R/2, ending with E = ρR/4ε₀.

kuruman · May 14, 2026

Looks good.

The electric field inside an insulating infinite length solid cylinder

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