A Note on Frequency Transformations for Use with the Electrolytic Tank

Abstract

Two frequency transformations are described which transform the circular electrolytic tank described by Hansen and Lundstrom into rectangular and elliptical tanks, respectively. The rectangular tank is particularly suited for simulating highly damped circuits where response extending over many octaves in frequency is desired. Furthermore, the co-ordinates of the tank may be calibrated directly against "logarithmic frequency" and dissipation factor, respectively. The elliptical tank is particularly adapted to representation of band-pass circuits having characteristics which are geometrically symmetric about a center frequency. Not only does this transformation expand the scale of the tank and increase its accuracy, but the geometrical relationships between the pole electrodes for simple resonant circuits become substantially independent of the relative bandwidth.