A process for fabricating an electromagnetic flow meter by encapsulating an electrode with a liquefied plastic. The electrode is fabricated out of an electrically conducting material and with at least a first circumferential indentation that runs orthogonal to the longitudinal expansion of the electrode. The electrode is positioned in a tool and encapsulated with a liquefied plastic, at least in sections, wherein the first indentation is encapsulated, at least in sections, with liquefied plastic. Also, an electromagnetic flow meter for measuring the volumetric flow or mass flow of a medium in a pipe, with a measurement tube, through which the medium flows in the direction of the longitudinal axis, and with a magnetic system that is so embodied as to produce a magnetic field that passes through the measurement tube and runs essentially orthogonal to the longitudinal axis of the measurement tube, and with at least one measurement electrode that couples to the medium, which is arranged essentially orthogonal to the region of the magnetic field in a bore hole in the wall of the measurement tube.