Optimization of axisymmetric parametric model for electrostatic force balance

A two-dimensional axisymmetric parametric model was developed to calculate the vector value of the small force between the electrodes of a cylindrical capacitor with a given voltage, which is called an electrostatic force balance and studied to establish a force standard traceable to the SI in the range from µN to nN. The reasons for developing this model are (1) to optimize the design of the electrostatic force balance and (2) to improve the accuracy of the force standard. NIST will check this model by calculating the forces with mechanical forces of their prototype electrostatic force balance loaded with deadweights of several mg.