Jefimenko's equations (Q1321084)
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solution for electric field and magnetic field due to a distribution of moving electric charges and electric current in space
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Jefimenko's equations |
solution for electric field and magnetic field due to a distribution of moving electric charges and electric current in space |
Statements
![{\displaystyle \mathbf {E} (\mathbf {r} ,t)={\frac {1}{4\pi \epsilon _{0}}}\int \left[\left({\frac {\rho (\mathbf {r} ',t_{r})}{|\mathbf {r} -\mathbf {r} '|^{3}}}+{\frac {1}{|\mathbf {r} -\mathbf {r} '|^{2}c}}{\frac {\partial \rho (\mathbf {r} ',t_{r})}{\partial t}}\right)(\mathbf {r} -\mathbf {r} ')-{\frac {1}{|\mathbf {r} -\mathbf {r} '|c^{2}}}{\frac {\partial \mathbf {J} (\mathbf {r} ',t_{r})}{\partial t}}\right]\mathrm {d} ^{3}\mathbf {r} '}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ded973cf1f5fcdeb3f500d9a02cec9ba707c997f)
![{\displaystyle \mathbf {B} (\mathbf {r} ,t)={\frac {\mu _{0}}{4\pi }}\int \left[{\frac {\mathbf {J} (\mathbf {r} ',t_{r})}{|\mathbf {r} -\mathbf {r} '|^{3}}}+{\frac {1}{|\mathbf {r} -\mathbf {r} '|^{2}c}}{\frac {\partial \mathbf {J} (\mathbf {r} ',t_{r})}{\partial t}}\right]\times (\mathbf {r} -\mathbf {r} ')\,\mathrm {d} ^{3}\mathbf {r} '}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b6417547659b83400ee172695f1900eb93a74fe0)
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Wikipedia(12 entries)
- arwiki معادلات جيفمنكو
- enwiki Jefimenko's equations
- eswiki Ecuaciones de Jefimenko
- fawiki معادلات جفیمنکو
- frwiki Équations de Jefimenko
- itwiki Equazioni di Jefimenko
- jawiki ジェフィメンコ方程式
- kowiki 예피멘코 방정식
- ptwiki Equações de Jefimenko
- ruwiki Уравнения Ефименко
- ukwiki Рівняння Єфименка
- zhwiki 傑斐緬柯方程式