Предложена математическая модель емкостного преобразователя для излучения ультразвуковых колебаний в металлическое изделие. Получено выражение для расчета поверхностной плотности статического электрического заряда на поверхности металлического образца. Выявлены основные влияющие факторы, определяющие плотность зарядов на поверхности изделия и, соответственно, мощность и диаграмму направленности излучаемого ультразвукового поля. In this article, the mathematical model of the capacitive ultrasonic transducer for emitting ultrasonic vibrations into a conductive product is developed. The first step to evaluate the effect of polarizing the electrostatic field on the formation of Coulomb forces in the surface layer of the metal sample is considered. An electrode is located at a predetermined distance from the metal surface. A closed solution electrostatics problem for a piecewise-homogeneous environment in which the half-filled metal with finite values of electrical conductivity and magnetic permeability is obtained. An expression for the calculation of the surface density of a static electric charge on the surface of the metal sample is obtained. Identified the main influencing factors determining the spatial distribution of the charge density on the surface of products that will form the radiation pattern and the power output of the ultra-sonic field.