Onsager-Casimir antireciprocity relations for the hall gyrators analysis

Authors:
Dan George Tont;Luige Vladareanu;Gabriela Tont
Affiliations:
Department of Electrical Engineering, Measurements and Electric Power Use, Faculty of Electrical Engineering and Information Technology, University of Oradea, Oradea, Romania;Institute of Solid Mechanics of Romanian Academy, Bucharest, Romania;Department of Electrical Engineering, Measurements and Electric Power Use, Faculty of Electrical Engineering and Information Technology, University of Oradea, Oradea, Romania
Venue:
WSEAS TRANSACTIONS on SYSTEMS
Year:
2009

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Abstract

The paper focuses on the analysis of characteristics of driving point impedance for a lossy gyrator. For a gyrator, the ratio between short-circuit input resistance and open-circuit input resistance is always greater then unity. The antireciprocity of the Hall transducer is a natural phenomenon and its results from investigation of transfer resistances. Is known that for a certain value of magnetic induction, in general, transfer resistances are not equal. In other words, Hall transducer is a passive non-reciprocal circuit. In certain circumstances, however, when Hall plate does have voltage zero, (constructively, electrodes are disposed on the same equipotential surface with zero inductance) transfer resistances are equal in value, but have opposite sign. In these cases we are talking about behavior of Hall transducer as antireciprocal circuit, respectively as a gyrator. Gyrators are a class of antireciprocal resistive two-ports. The findings are concerning and the locus of the input equivalent impedance An assessment of Hall generator behavior regarded as a circuit element and particularly as a gyrator was performed by the means of experimentally validation Onsager-Casimir relation.