Method of Images to Study the Charge Distribution in Cases of Potentials Deviating from Coulomb’s Law

DOI: 10.4236/jemaa.2014.64008   PDF   HTML   XML   3,771 Downloads   5,415 Views   Citations

Abstract

The method of images is used to study the charge distribution for cases where Coulomb’s law deviates from the inverse square law. This method shows that in these cases some of the charge goes to the surface, while the remainder charge distributed over the volume of the conductor. In accord with the experimental work, we show that the charge distribution will depend on the photon rest mass and is very sensitive to it; a very small value of the rest of mass of the photon will create deviation from Coulomb’s law.

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Sallabi, A. , Khaliel, J. and Mohamed, A. (2014) Method of Images to Study the Charge Distribution in Cases of Potentials Deviating from Coulomb’s Law. Journal of Electromagnetic Analysis and Applications, 6, 51-56. doi: 10.4236/jemaa.2014.64008.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Neyenhuis, B., Christensen, D. and Durfee, D.S. (2007) Testing Nonclassical Theories of Electromagnetism with Ion Interferometry. Physical Review Letters, 99, 200401. http://dx.doi.org/10.1103/PhysRevLett.99.200401
[2] Tu, L.-C. and Lou, J. (2004) Experimental Tests of Coulomb’s Law and the Photon Rest Mass. Metrologia, 41, S136-S146.
[3] Spencer, R.L. (1990) If Coulomb’s Law Were Not Inverse Square: The Charge Distribution Inside a Solid Conducting Sphere. American Journal of Physics, 58, 385-390. http://dx.doi.org/10.1119/1.16179
[4] Griffiths, D.J. and Uvanovic, D.Z. (2001) The Charge Distribution on a Conductor for Non-Coulombic Potentials. American Journal of Physics, 69, 435-440. http://dx.doi.org/10.1119/1.1339279
[5] Jackson, J.D. (1975) Classical Electrodynamics. 2nd Edition, Wiley, New York.
[6] Griffiths, D.J. (1999) Introduction to Electrodynamics. 3rd Edition, Prentice-Hall, Upper Saddle River.

  
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