# reciprocity theorem

## reciprocity theorem

[‚res·ə′präs·əd·ē ‚thir·əm]
Also known as principle of reciprocity.
(acoustics)
The theorem that, in an acoustic system consisting of a fluid medium with boundary surfaces and subject to no impressed body forces, if p1 and p2 are the pressure fields produced respectively by the components of the fluid velocities V1 and V2 normal to the boundary surfaces, then the integral over the boundary surfaces of p1 V2-p2 V1 vanishes.
(electricity)
The electric potentials V1 and V2 produced at some arbitrary point, due to charge distributions having total charges of q1 and q2 respectively, are such that q1 V2= q2 V1.
In an electric network consisting of linear passive impedances, the ratio of the electromotive force introduced in any branch to the current in any other branch is equal in magnitude and phase to the ratio that results if the positions of electromotive force and current are exchanged.
(electromagnetism)
Given two loop antennas, a and b, then Iab / Va = Iba / Vb , where Iab denotes the current received in b when a is used as transmitter, and Va denotes the voltage applied in a ; Iba and Vb are the corresponding quantities when b is the transmitter, a the receiver; it is assumed that the frequency and impedances remain unchanged.
(engineering acoustics)
The sensitivity of a reversible electroacoustic transducer when used as a microphone divided by the sensitivity when used as a source of sound is independent of the type and construction of the transducer.
(physics)
In general, any theorem that expresses various reciprocal relations for the behavior of some physical systems, in which input and output can be interchanged without altering the response of the system to a given excitation.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
A combinatorial reciprocity theorem relates two classes of combinatorial objects via their counting functions, explain Beck and Sanyal.
In this paper, we show that many electromagnetic theorems still exist in this discrete electromagnetic theory with DEC, such as Huygens' principle, reciprocity theorem, Poynting's theorem and uniqueness theorem.
In this paper, the reciprocity theorem is employed to evaluate the rescattered coupling interaction between the plasma-coated target and the rough surface.
Accordingly, some claim that the term "sunshine" better expressed the government's North Korea policy, which contains both the reciprocity theorem and an aid policy.
Generalized monotone triangles: an extended combinatorial reciprocity theorem. arXiv:1207.4437, 2012.
The surface wave is expressed by an integral formulation relying on the elastodynamic reciprocity theorem. This formulation combines bulk waves emitted by the starting event and the Rayleigh wave components of the Green's tensor, calculated in  from the coupling between the P-wave and S-wave component (SV) polarized in the plane of incidence.
We show that the reciprocity theorem leads to a q-integral extension of the classical gamma function.
They then provide a constructive proof of the non-abelian convexity theorem, including the equivariant Darboux theorem, cross-section theorem and Frobenius reciprocity theorem and introduce some elementary examples of the convexity theorem.
 discusses the application of a reciprocity theorem to the cancellation of any T-invariant false effect.
The reciprocity theorem has been used for more than a century to establish interesting and useful relations between different loading states of a body, according to the publisher.
Chapter 3 covers propagation in closed waveguides, including a study of the consequences of the Lorentz' reciprocity theorem as it is applied to closed waveguides.
The reciprocity method is based upon the reciprocity theorem. In the field of electrical networks the following statement can translate the reciprocity theorem: "a given e.m.f.

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