Transient Magnetic Field in a Conducting Cylinder

In the paper we determine the transient magnetic field in a conducting cylinder placed in external longitudinal sine-shaped magnetic Pasta Bowl field using the solution of Bessell equation in cylindrical co-ordinates, and also applying integral Laplace transformations, attenuation and diffusion of the SOCKS magnetic field strength in the cylinder.The resulting equations can be used to describe volume density of the power lost in the cylinder and to determine substitute parameters of the inductor-cylindrical work system.