The resistance between two contacts in a plane and the capacitance between paraxial cylinders

Abstract

The problem of finding the resistance between two circular contacts on an infinite conducting plane is related to that of the capacity between paraxial cylinders. The general formula for the capacity between two such cylinders is obtained, resulting in a solution for the resistance between any two circular contacts, including the case in which one is inside the circle formed by the other. This approach suggests a new experiment for the undergraduate laboratory using the electrodes and electrolytic tank often found in such laboratories intended for the usual field plotting experiment. The setup for the resistance experiment is described and some results presented.

Rheometry of multi-port spaceborne antennas including mutual antenna capacitances and application to STEREO/WAVES

“…Besides the depiction of potential distributions electrolytic tanks have been used for capacitance measurements [13,14]. Actually there is a close interrelation between these two types of measurements.…”

DC Flashover Dynamic Model of Post Insulator under Non-Uniform Pollution between Windward and Leeward Sides

“…of post insulator, where r0 is the arc root radius; r1 is the rod radius, and the conductivity of the medium between two electrodes is pollution layer conductivity. The resistance between two circular electrodes on an infinite conductive plane can be expressed as follow [21,22]:…”

“…where surface conductivity of pollution layer s σ is given in literature [23] by following relation: The resistance between two circular electrodes on an infinite conductive plane can be expressed as follow [21,22]:…”

“…Secondly, the arc root radius r 0 and residual pollution layer resistance R non (x, I) at this time can be calculated using above initial values. Then the leakage current I is obtained by substituting r 0 and R non (x, I) into Equations (21) and (22). Thirdly, E p and E arc are calculated respectively using Equation (24).…”