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This paper presents the results of analyses of the series resonance phenomenon in a system containing supercapacitors. The specific features of such components, especially the diffusion processes, cause their dynamic properties significantly differ from those of typical capacitors. In contrast to other authors work, the presented results were obtained during discharging of super-capacitors through periodically changing resistor. Such procedure corresponds to conditions when supercapacitors can be discharged by periodically changing loads. Analysis of resonance phenomena is a very important task; especially in power supply circuits, where supercapacitors often act as energy storage elements. The tests carried out for selected supercapacitors and frequencies range were verified practically using a specially prepared test system.