Email this article Some cases of explicit expression of the resulting field strength of magnets placed in the field of external sources
- Authors: Dyakin V.V.1, Kudryashova O.V.1, Raevskii V.Y.1
-
Affiliations:
- M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences
- Issue: No 7 (2024)
- Pages: 14-27
- Section: Electromagnetic methods
- URL: https://journals.rcsi.science/0130-3082/article/view/262215
- DOI: https://doi.org/10.31857/S0130308224070027
- ID: 262215
Cite item
Open Access
Access granted
Subscription Access
Abstract
Formulas for calculating of the resulting magnetic field strength of magnets with a given magnetization distribution or given field of external sources are presented. We have collected exactly those cases where a user who does not have much experience in the field of computational mathematics and programming can perform calculations using these formulas. Namely, in these cases formulas for tension are mostly expressed in final form through elementary functions or require the use of one of the standard subroutines available in the library of any programming language. Such formulas can serve both as reference material and for solving corresponding problems with suitable real objects, as well as for determining optimal strategies and the optimal set of input parameters when using universal software packages and assessing the error of the results obtained.
About the authors
V. V. Dyakin
M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences
Author for correspondence.
Email: kudryashova_ov@imp.uran.ru
Russian Federation, 620108 Yekaterinburg, Sofya Kovalevskaya Str., 18
O. V. Kudryashova
M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences
Email: kudryashova_ov@imp.uran.ru
Russian Federation, 620108 Yekaterinburg, Sofya Kovalevskaya Str., 18
V. Y. Raevskii
M.N. Mikheev Institute of Metal Physics of the Ural Branch of the Russian Academy of Sciences
Email: ravskii@mail.ru
Russian Federation, 620108 Yekaterinburg, Sofya Kovalevskaya Str., 18
References
- Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. O problemah ispol’zovaniya paketov universal’nyh programm dlya resheniya zadach magnitostatiki // Defektoskopiya. 2018. № 11. P. 23—34.
- Pechenkov A N., Shcherbinin V.E. Nekotorye pryamye i obratnye zadachi tekhnicheskoj magnitostatiki. Ekaterinburg: Izd-vo UrO RAN, 2004. 177 p.
- Savel’ev I.V. Sbornik voprosov i zadach po obshchej fizike. M.: Nauka, 1988. 288 p.
- Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. Tochnye formuly napryazhennosti magnitnogo polya vnutri i vne odnorodnogo ellipsoidal’nogo magnetika vo vneshnem odnorodnom v oblasti magnetika pole // Defektoskopiya. 2022. № 2. P. 51—63.
- Netrebko N.V., Nikolaev I.P., Polyakova M.S., Shmal’gauzen V.I. Elektrichestvo i magnetizm. M.: Izd-vo VMiK MGU, 2006. 327 p.
- Meledin G.V., Cherkasskij V.S. Elektrodinamika v zadachah. Chast’ 1. Novosibirsk: Izd. NGU, 2003, 227 p.
- Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. Primenenie osnovnogo uravneniya magnitostatiki k zadacham magnitnoj tolshchinometrii. Chast’ 2. // Defektoskopiya. 2014. № 10. P. 3—17.
- Grechko L.G, Sugakov V.I., Tomasevich O.F., Fedorchenko A.M. Sbornik zadach po teoreticheskoj fizike. M.: Vysshaya shkola, 1984. 319 p.
- Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. Obratnaya zadacha magnitostatiki v polyah nasyshcheniya // Defektoskopiya. 2019. № 10. P. 35—44.
- Matveev A.N. Elektrichestvo i magnetizm. M.: Vysshaya shkola, 1983. 463 p.
- Tatur T.A. Osnovy teorii elektromagnitnogo polya. M.: Vysshaya shkola, 1989. 271 p.
- Nerazrushayushchij kontrol’ i diagnostika. Pod red. Klyueva V.V. M.: Mashinostroenie, 1995. 487 p.
- Antonov L.I., Dedenko L.G., Matveev A.N. Metodika resheniya zadach po elektrichestvu. M.: Izd-vo MGU, 1982. 168 p.
- Dyakin V.V. Matematicheskie osnovy klassicheskoj magnitostatiki. Ekaterinburg: RIO UrO RAN, 2016. 403 p.
- Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. Odin podhod k resheniyu osnovnogo uravneniya magnitostatiki dlya sluchaya neodnorodnyh magnetikov // Teoreticheskaya i matematicheskaya fizika. 2016. T. 187. № 1. P. 88—103.
- Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. K resheniyu zadachi magnitostatiki v sluchae zavisimosti magnitnoj pronicaemosti ot koordinat // Defektoskopiya. 2015. № 9. P. 38—48.
- Ahiezer A.I. Obshchaya fizika. Elektricheskie i magnitnye yavleniya. Kiev: Naukova dumka, 1981. 471 p.
- Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. Raschet napryazhennosti magnitnogo polya vnutri i vne beskonechnogo cilindra, pomeshchennogo v proizvol’noe vneshnee pole // Defektoskopiya. 2024. № 3. P. 33—46.
- Dyakin V.V., Kudryashova O.V., Raevskij V.Ya. Raschet napryazhennosti magnitnogo polya ot polubeskonechnogo cilindra, pomeshchennogo v proizvol’noe vneshnee pole // Defektoskopiya. 2023. № 5. P. 32—44.
- Hizhnyak N.A. Integral’nye uravneniya makroskopicheskoj elektrodinamiki. Kiev: Naukova dumka, 1986. 279 p.
Supplementary files
