An engineering equation for corona devices

Engineers who either design or apply any charge-generating device are faced with characterizing the charge output of their device. This charge output per unit time is the net current output of the device. Such devices are referred to as corona-generating devices, corona chargers, or simply corona devices, and unfortunately they do not follow Ohm´s Law; instead these devices display a nonlinear IV or current-voltage curve. This article deals with the development of a nonlinear IV equation that allows the characterization of the device over a large voltage range. To obtain the equation the unipolar charge injection equation is modified to account for the potential necessary to create charge injection. For a gas this potential is shown to be equal to the corona onset potential. The resulting equation is applied to some data discussed by Schaffert in his book on electrophotography and to new data from corona wires at high positive potential. Good agreement is obtained both near and away from the onset potential. The equation suggests that in the charge injection region the resistance is linearly related to the length of the injection region. The new corona data supports this hypothesis. The data also indicates the charge development region is fixed for a given geometry