Research ArticleOpen AccessGoogle Scholar indexed
Electrostatic and Magnetostatic Forces That Arise from Electrostatic and Magnetostatic Pressures
Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, CDMX, México
Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, CDMX, México
área de Física Teórica y Materia Condensada, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana Unidad Azcapotzalco, México D. F., México
- 1 Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, CDMX, México
- 2 Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, CDMX, México
- 3 área de Física Teórica y Materia Condensada, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana Unidad Azcapotzalco, México D. F., México
Journal of Electromagnetic Analysis and Applications·Volume 11 (2019)·Pages 25–40·Published 29 March 2019·DOI10.4236/jemaa.2019.113003
Copy link · social · email
Abstract
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.
KeywordsPolarizable Electric and Magnetic MediaElectric and Magnetic PressuresElectromagnetic Force DensitiesMacroscopic Maxwell EquationsBalance Equations of Electromagnetic Momentum
- 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
- 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
- Maxwell, J.C. (2005) Elementary Treatise on Electricity. 2nd Edition, Mineola New York, Dover.
- Becker, R. (1982) Electromagnetic Field and Interactions. Mineola.
- Stratton, J.A. (1941) Electromagnetic Theory. McGraw-Hill, New York.
- Panofsky, W.K.H. and Phillips, M. (1962) Classical Electricity and Magnetism. 2nd Edition, Addison-Wesley, Reading.
- 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
- 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
- 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
- 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
- Griffiths, D.J. (1999) Introduction to Electrodynamics. 3nd Edition, Prentice-Hall.
- Wangsness, R.K. (1986) Electromagnetic Theory. 2nd Edition, John Wiley and Sons, New York.
- Reitz, J.R., Milford, F.J and W. Christy, R.W. (1993) Foundations of Electromagnetic Theory. 4th Edition, Addison-Wesley, Reading.
- Purcell, E.M. and Morin, D.J. (2013) Electricity and Magnetism. 3rd Edition, Cambridge, New York.
- Jackson, J.D. (1998) Classical Electrodynamics. 3rd Edition, Wiley and Sons, New York.
- 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.
- 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.