Skin effect in a cylindrical circular conductor with a rectangular pulse shape

The article deals with the case of the skin effect in a conductor with a rectangular shape of the current pulse based on the Maxwell's equations. The study determines the value of the voltage loss in a cylindrical conductor in the case of a sharp skin effect along with obtaining an expression for the effective depth of current penetration for a rectangular pulse of a given duration. Based on the obtained expressions, the study presents a specific example of a sharp skin effect for a cylindrical copper conductor. It is shown that in the case of a sharp skin effect, the requirements for the choice of the conductor material are reduced, while the change in the pulse duration has a low effect. The resulting expressions can also be applied to an annular conductor.