Abstract: The systems of thin coaxial toroidal electrodes and hollow coaxial biconical electrodes are modeled for generating homogeneous electric field. The electrodes are of absolutely equal and opposite potential values, so that the potential of the symmetrical plane is zero. The electrodes dimensions and positions can be chosen so that practically homogeneous electric field can be obtained in central region of the structure. Along the system axis the potential function is expressed as polynomial series and the dimensions of system are determined so that only the linear term in these series is dominant. Thus, the primary cell of N-th kind which has N different degrees of degeneration is determined.
Better results are obtained with primary cell of higher kind. So the primary cell of the second kind provides the larger region with homogeneous electric field than the primary cell of the first kind. Also, better results are obtained with biconical electrode system then with system having two thin toroidal electrodes.
Obtained results show that in the case of basic biconical electrode system (primary cell), the electric field homogeneity is practically independent of the electrode length if length of electrode is great enough. The obtained results satisfy the requirements of high accuracy.
The same electrodes can be used for making systems serving for space protection against the overflow electric fields strength.
Key words: Homogeneous electric field, toroidal electrodes, biconical electrodes system.