Methods of protecting metals from corrosion and wear are considered. The focus is on protective coatings and electrochemical research. The relevance of using microelectrochemical studies for studying corrosion processes and determining the electrical resistance of microelectrodes is highlighted. The goal is an analytical study of the electrical resistance of microelectrodes of various shapes. The problem of electrical resistance of a microelectrode in the form of an obliquely truncated cone is considered. Numerical integration methods are used for calculations. An analytical expression for the total electrical resistance of such an electrode is found in the form of the sum of a fractional rational function and two integrals. Both the function and the integrals depend on the following parameters: the radius of the smaller base of the cone, its height, the angle of inclination of the cutting plane to the smaller base of the cone, and the angle between the cone’s face and the vertical axis. The problem of minimizing such sums of integrals for the angle of inclination of the cutting plane at specific values of the other parameters is investigated. Two of these integrals turned out to be non-conforming integrals of the second kind, which are not taken in finite squares. The results of calculating the electrical resistance of microelectrodes of different designs are presented. The calculations revealed a sharp decrease in resistance if the cone is truncated with a slanting plane.