The energetic balance of the two different electrostatic processes: Electrostatic liquid spraying and electrostatic induction for electrical field measuring

In the specialized literature, two previous studies [S. Zhao, G.S.P. Castle, K. Adamiac, The effect of space charge on the performance of an electrostatic induction charging spray nozzle, J. Electrostat., 63 (2005) 261–272; S. Zhao, G.S.P. Castle, K. Adamiac, Comparison of conduction and induction charging in liquid spraying, J. Electrostat., 63 (6–10) (2005) 871–876] aim to clarify, by theoretical and experimental means, the following aspects concerning the charge through conduction and induction: charging mechanism, distribution of electrical field, conversion of energy and effect of spatial charge. This paper presents the energetic balance of the two systems, namely induction and conduction charge systems, with the purpose of establishing the quantitative energetic aspects of the phenomena that take place and, most of all, establishing the contribution to the energetic value of the drops that end up on the target and come from the high voltage source supplying power to the system and from the air flow that contributes to spraying and transporting particles to the target. At the same time, the energetic balance of a device which uses electrostatic induction for measuring electrical field intensity and high voltage is presented for exemplification. The device scheme, the way of functioning, the equivalent electrical schemes and the expression of the electrical current generated by the device as a consequence of the electrostatic induction are presented, and it is demonstrated that the electrical energy of the generated current does not result from the energy stored in the electrical field which is being measured, respectively of the one generating the electrostatic induction, but from the mechanical energy, by conversion, consumed by the motor which sets in motion the mobile part of this device.