Collection of equivalent circuit representations of electric-field coupled and magnetic-field coupled transducers

Abstract

Three new lumped element equivalent circuits, one for an electric-field transducer and two for a magnetic-field transducer, are discussed. For completeness and ease of comparison, however, a set of four equivalent circuits, many of which are familiar, is presented for either type. Each circuit correctly predicts the electromechanical terminal pair behavior of the transducer in the frequency neighborhood of an isolated mechanical resonance. In half of the circuits, electromechanical coupling is represented by an ideal transformer while in the other half, an ideal gyrator must be used. As a consequence, in half of the circuits the mechanical domain can be represented by an impedance-type analog, while in the remaining half, a mobility-type analog must be used. Some for the new equivalent circuits are suggested.