Electrostatic problem of several arbitrarily charged unequal coaxial disks

摘要

The title problem is treated by a new method which allows a straightforward derivation of a Fredholm system of governing integral equations. An important feature of these equations is the fact that there is no need to solve the system in order to assess certain integral characteristics like, for example, the total charge at each disk. A good accuracy of this assessment is confirmed by a numerical solution of the system of integral equations. Some previously published numerical results are corrected. Several examples are considered.