Resistive Voltage Divider Immersed in Potential Gradient Capacitive Compensation

We describe the design of a novel geometry for implementing a resistive voltage divider for use in metrology, in the range of voltages from 0 to 100 V and frequencies from DC to 100 kHz. The resistors are placed inside a three metallic plate structure that not only produces a potential gradient accompanying that of the resistors themselves but also serves as bandwidth compensation and heat sink. The use of no dielectric substrate promises high linearity and very low parasitic effects. This work presents the theoretical background and a simple mathematical model.