Notes on the Design of 4-Terminal Resistance Standards for Alternating Currents (Classic Reprint) - Softcover

Silsbee, Francis B.

Softcover

ISBN 10: 1527773043 ISBN 13: 9781527773042

Publisher: Forgotten Books, 2017

Synopsis

Excerpt from Notes on the Design of 4-Terminal Resistance Standards for Alternating Currents

In considering problems involving the characteristics of 4-terminal resistors, two very general principles are often of great value. The first of these is the reciprocal theorem5 which states that if current is passed through terminals 3 and 4 and the resulting electromotive force, is observed at terminals 1 and 2 the resistance and inductance will have the same numerical values as if the converse Choice of terminals had been made and the electromotive force had been observed at 3 and 4 when current was passing through 1 and 2. This theorem is exceedingly convenient in discussing the inductance of complicated groups of conductors, since that pair of terminals can be considered as current terminals which yields the simplest set of stream lines and equipotential surfaces.

The second useful conception is that of regarding the two possible current paths (that through 1 and 2 and that through 3 and 4) as separate and distinct circuits, which can be called the current cir cuit and the potential circuit, respectively. The self-inductance of the complete resistor then becomes the same as the mutual induc tance between the two circuits so visualized. The fact that through out part of their volumes the two circuits coincide in space does not affect the argument. When regarded as a mutual inductance, it is easier to see that the total inductance is the algebraic sum of the mutual actions of the several parts of the one circuit upon those of the other. The effect of an external stray field on the resistor can be considered as a mutual inductance between the potential circuit and the circuit which produces the external field.

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Edition details

• Publisher: Forgotten Books
• Publication date: 2017
• Language: English
• ISBN 10: 1527773043
• ISBN 13: 9781527773042
• Binding: Paperback
• Number of pages: 43