A second order approximation to nonlinear circuit equations as applied to high energy electrical discharge processes

摘要

In high voltage electrical discharge through metal powder, the current has the form of a damped oscillation as in an R-L-C circuit. The resistance, however, varies during the discharge. An analogous effect is found in exploding wires and thermistors. It is shown that the circuit equation can be solved approximately for a suitable variation of the resistance with time. The results are compared with experimental results and with a numerical solution for the case of electrical discharge through commercial steel powder.