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In the paper, basing on the electromagnetic field analysis in a system with a thin conducting plate, infinitely extended, a set of equations approximately representing the boundary conditions on the plate is presented as well as the scope of their validity is estimated. Developing the idea announced in the eddy current problem is examined in a system with a thin plate having finite surface dimensions and with an external source of any configuration. The problem has been reduced to the Fredholm's equation of the second kind which, for regular‐shaped plates, can be solved in an explicite form Results of calculations are verified by experiment.