With the insight provided by a balance equation of electromagnetic momentum, we compare the force on a dielectric slab inside a capacitor with the force on a magnetizable rod inside a solenoid. We conclude that these forces are not exactly analogous, as usually thought. We present a device that is a proper analogy of the case of a dielectric slab inside a capacitor. Our analysis shows the significance of the electrostatic and magnetostatic pressures to the understanding of these effects and shows the conceptual differences between both cases.
References
[1]
Campos-Flores, I., Jiménez-Ramírez, J.L. and Roa-Neri, J.A.E. (2018) How Does Arise the Force on a Dielestric Slab a Parallel Plate Capacitor? Journal of Electromagnetic Analysis and Applications, 10, 131-142.
https://doi.org/10.4236/jemaa.2018.107010
[2]
Campos-Flores, I., Jiménez-Ramírez, J.L. and Roa-Neri J.A.E. (2018) A New Perspective of the Force on a Magnetizable Rod inside a Solenoid. Journal of Electromagnetic Analysis and Applications, 10, 171-183.
https://doi.org/10.4236/jemaa.2018.1010013
[3]
Maxwell, J.C. (2005) Elementary Treatise on Electricity. 2nd Edition, Mineola New York, Dover.
[4]
Becker, R. (1982) Electromagnetic Field and Interactions. Mineola.
[5]
Stratton, J.A. (1941) Electromagnetic Theory. McGraw-Hill, New York.
[6]
Panofsky, W.K.H. and Phillips, M. (1962) Classical Electricity and Magnetism. 2nd Edition, Addison-Wesley, Reading.
[7]
Margulies, S. (1984) Force on a Dielectric Slab Inserted into a Parallel-Plate Capacitor. American Journal of Physics, 52, 515-518. https://doi.org/10.1119/1.13861
[8]
Utreras-Diaz, C. (1988) Dielectric Slab in a Parallel-Plate Condenser. American Journal of Physics, 56, 700-701. https://doi.org/10.1119/1.15504
[9]
Naini, A. and Green, M. (1997) Fringing Fields in a Parallel-Plate Capacitor. American Journal of Physics, 45, 877-879. https://doi.org/10.1119/1.11075
[10]
Dietz, E.R. (2004) Force on a Dielectric Slab: Fringing Field Approach. American Journal of Physics, 72, 1499-1500. https://doi.org/10.1119/1.1764563
[11]
Griffiths, D.J. (1999) Introduction to Electrodynamics. 3nd Edition, Prentice-Hall.
[12]
Wangsness, R.K. (1986) Electromagnetic Theory. 2nd Edition, John Wiley and Sons, New York.
[13]
Reitz, J.R., Milford, F.J and W. Christy, R.W. (1993) Foundations of Electromagnetic Theory. 4th Edition, Addison-Wesley, Reading.
[14]
Purcell, E.M. and Morin, D.J. (2013) Electricity and Magnetism. 3rd Edition, Cambridge, New York.
[15]
Jackson, J.D. (1998) Classical Electrodynamics. 3rd Edition, Wiley and Sons, New York.
[16]
Campos, I., Jiménez, J.L. and López-Mariño, M.A. (2012) Electromagnetic Momentum Balance Equation and the Force Density in Material Media. Revista Brasileira de Ensino de Fisica, 34, 2303.
[17]
Landau, L.D., Lifshitz, E.M. and Pitaevskii, L.P. (1984) Electrodynamics of Continuous Media. Vol. 8 Course if Theoretical Physics, 2nd Edition, Pergamon, Oxford.
[18]
Jiménez, J.L., Campos, I. and, López-Mariño, M.A. (2013) Maxwell Equations in Material Media, Momentum Balance Equations and Force Densities Associated with Them. European Physical Journal Plus, 128, 46.
https://doi.org/10.1140/epjp/i2013-13046-8
