Rogowski profile

Functional representation on a plate capacitor

A Rogowski profile is used to shape electrical electrodes in three dimensions, such as the plates of an electrical capacitor, with the aim of achieving a decreasing curve of the electrical field strength at the edges of the electrodes . Typically, this profile is used in the design of plate capacitors , as it avoids an excessive field at the edges and thus an electrical breakdown in the edge area. Disadvantages are the large construction and the dependence of the profile on the distance between the panels. This means that the distance cannot simply be varied, which, however, is often desirable in the case of high-voltage electrodes.

The first preparatory work on this form was carried out by James Clerk Maxwell , and in work by the namesake Walter Rogowski expanded to the form common today.

The descriptive function, as shown in the adjacent figure with a red gradient, is:

${\displaystyle f(x)=y={\frac {s}{\pi }}\left({\frac {\pi }{2}}+e^{x\pi /s}\right)}$

By mirroring the descriptive function, the plates, shown in black in the adjacent figure, can be formed. With this shape, the highest electric field strength occurs centrally in the middle of the plates and can be changed using the parameter that describes the distance between the plates. ${\displaystyle s}$

See also

• Borda profile

Individual evidence

1. ^ Rogowski profiles . accessed September 18, 2010
2. ↑ James Clerk Maxwell: The Scientific Letters and Papers of James Clerk Maxwell . Ed .: PM Harman. Volume 1 (1846-1862), ISBN 978-0-521-25625-4 (reprint).
3. ^ Walter Rogowski: Archives for electrical engineering . Volume 12 and 16, 1923 and 1926