The authors present the results of numerical calculations of the current density distribution over the crosssection of a cylindrical conductor when (a) the conductivity of the cylinder depends on time as t 3 / 2 for sinusoidal current and, (b) the time dependences of the current shapes and the conductivity are taken from experiments.An analytical solution is given of the non-stationary equation for the skin effect for constant conductivity of the cylinder when the function describing the time dependence of the current can be expanded in a Fourier series.

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