Vector potential coil and transformer masahiro daibo, shuzo oshima, yoichi sasaki, and kento sugiyama faculty of engineering, iwate university, morioka 0208551, japan we demonstrate a vectorpotential coil and a vectorpotential transformer that each. Multipole expansion of the magnetic vector potential consider an arbitrary loop that carries a current i. If v is a vector function potential the application of the operator del to it makes any sense, at least in the traditional sense. The connection between inertial forces and the vector potential alexandre a. Comments on what the vector potential measures by ej konopinski. Pdf unravelling the potentials puzzle and corresponding case for.
Its vector potential at point r is just as we did for v, we can expand in a power series and use the series as an approximation scheme. Unravelling the potentials puzzle and corresponding. Quite close to the spirit of faradays inspiration, konopinski s views the vector potential as a store of field momentum available for exchange with the kinetic momentum of charged matter or charges in a conductor 9. It has been shown in a previous paper by konopinski that there are important advantages, particularly to the engineer, in an electromagnetic theory in which the properties, which are customarily associated with the fields, are assigned instead to the source charges, and measured by the potentials. Pdf we collect together several ideas that we have found helpful in teaching the magnetic vector potential a.
Quite close to the spirit of faradays inspiration, konopinskis views the. A current flowing through a wire produce a magnetic field looping around it. If vectorpotential cannot verify that v has a vector potential, it returns the. Let me start with some general properties of the vector potential. Vector potential coil and transformer masahiro daibo, shuzo oshima, yoichi sasaki, and kento sugiyama faculty of engineering, iwate university, morioka 0208551, japan we demonstrate a vector potential coil and a vector potential transformer that each use a long. Therefore, it can be represented as the curl of another vector because it obeys the vector identity r. Thus, inside the solenoid the vector potential is 2 a 1 n r i. On the physical meaning of the gauge conditions of classical. Vector potential coil and transformer masahiro daibo, shuzo oshima, yoichi sasaki, and kento sugiyama faculty of engineering, iwate university, morioka 0208551, japan we demonstrate a vectorpotential coil and a vectorpotential transformer that each use a long. With 67 and 68 inserted into 66, we see that maxwell has obtained the most general integral form of faradays law. This concept is useful, since it is sometimes more convenient to compute the potential and then compute the electric.
What the electromagnetic vector potential describes what the electromagnetic vector potential describes konopinski, e. Konopinski, what the vector potential describes, am. He demonstrates that the vector potential always had physical meaning as. E and b are slowly disappearing from the modern expression of physical laws.
Unravelling the potentials puzzle and corresponding case for the scalar longitudinal electrodynamic wave article pdf available in journal of physics conference series 1251. The previous prescription for expressing electric and magnetic fields in terms of the scalar and vector potentials does not uniquely define the potentials. Formally, given a vector field v, a vector potential is a vector field a such that. Thoughts on the magnetic vector potential article pdf available in american journal of physics 6411. Written the laser field in term so the vector potential a e. The connection between inertial forces and the vector. The full significance of this work has not been generally recognized to date. Nov 20, 2005 if v is a vector function potential the application of the operator del to it makes any sense, at least in the traditional sense. The poynting concept of power flowing through the field, with density e x h, like the electromagnetic momentum vector d x b, appears to be a necessary consequence of. We know from helmholtzs theorem that a vector field is fully specified by its divergence and its curl. The curl of the vector potential gives us the magnetic field via eq. I will try to explain intuition behind it with minimum mathematics. Vector potential definition of vector potential by merriam. Pdf thoughts on the magnetic vector potential researchgate.
Comments on what the electromagnetic vector potential. Again, electric potential should not be confused with electric potential energy. Br ar 0 always the divergence of a curl of a vector field fr is always zero. Magnetic vector potential, a, is the vector quantity in classical electromagnetism defined so that its curl is equal to the magnetic field. The vector potential exists if and only if the divergence of a vector field v with respect to x equals 0. The conventional view is that only the curl of the vector potential has meaning through its connection to the magnetic field, so the vector potential itself has little physical significance. An explicit physical interpretation of the electromagnetic vector potential is here pointed outas field momentum available for exchange with kinetic momenta of charged matter. An introduction to the vector potential iopscience. Vector potential article about vector potential by the free.
The seminal paper on the meaning of the vector potential by e. Radiation integrals and auxiliary potential functions. The inertia property of matter is discussed in terms of a. Electromagnetic energy and power in terms of charges and. Remember that for the scalar potential v we were able to show that v is continuous across the surface in most cases.
Konopinski physics department, indiana university, bloomington, indiana 47401 received 11 july 1977. Vector potential definition is a vector field so distributed in space as to represent by means of its curl some physically important vector. Thanks for contributing an answer to mathematics stack exchange. In what the electromagnetic vector potential describes, e. Konopinski attributes this bias to erroneous notions arising from the gauge concept. This is analogous to a scalar potential, which is a scalar field whose gradient is a given vector field. Recall that a solenoidal field is the curl of some other vector field, e. What the electromagnetic vector potential describes, the. Comments on what the vector potential measures by e. If an internal link led you here, you may wish to change the link to point directly to the intended article. Physics department, indiana university, bloomington, indiana 47401. With 67 and 68 inserted into 66, we see that maxwell has obtained the. Vector potential of vector field matlab vectorpotential.
What the electromagnetic vector potential describes e. The magnetic vector potential is preferred when working with the lagrangian in classical mechanics and quantum mechanics. What the electromagnetic vector potential describes american. In vector calculus, a vector potential is a vector field whose curl is a given vector field. The magnetic vector potential contributed by a length. His paper follows up on eynmans complaint that a bias exists regarding the vector potential 2. What the electromagnetic vector potential describes. If vectorpotential cannot verify that v has a vector potential, it returns the vector with all three components equal to nan. First visualize a simple concept from basic physics. Konopinski, what the electromagnetic vector potential describes, am. Quite close to the spirit of faradays inspiration, konopinskis views the vector potential as a store of field momentum available for exchange with the kinetic momentum of charged matter or charges in a conductor 9. Magnetic scalar potential, the magnetic analogue of electric potential this disambiguation page lists articles associated with the title magnetic potential. However, the divergence of has no physical significance.
This can be done by finding the electric and magnetic fields e andh. A is the essentially uniform magnetic field inside the solenoid which field is essentially zero outside it. An explicit physical interpretation of the electromagnetic vector potential is here pointed outas field momentum available for exchange with kinetic momenta of. Comments on what the vector potential describes by e. It is shown that the vector potential can be quite as directly measurable, without recourse to only quantum. As should be clear from the whole development above, the principle is that the xcomponent of the vector potential arising from a current density j is the same as the electric potential. Indeed, it can be seen that if and, where is an arbitrary scalar field, then the associated electric and magnetic fields are unaffected.
Pdf unravelling the potentials puzzle and corresponding. The vector potential a is useful in solving for the em. Auxiliary vector potential constructing solutions using auxiliary vector potentials the objective of em theory is to find possible em field configurations modes for a given boundary value problem involving wave propagation, radiation, scattering, or absorption. Schep assume f is a vector eld on r3 for the argument below all we need is a star shaped domain with continuous second order partials. Paper open access unravelling the potentials puzzle and. The significance of this work has not been generally recognized to date. Konopinski s analysis demonstrates the fallacy of the generally held view that the vector potential has no physical meaning in classical electromagnetism. But avoid asking for help, clarification, or responding to other answers. Auxiliary vector potential constructing solutions using. Konopinskis analysis demonstrates the fallacy of the generally held view that the vector potential has no physical meaning in classical electromagnetism.
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