Jefimenko's equations

solution for electric field and magnetic field due to a distribution of moving electric charges and electric current in space

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Jefimenko's equations

Summary

Jefimenko's equations ranks in the top 2% of general entities by monthly Wikipedia readership (525 views/month).^[1]

Key Facts

Jefimenko's equations is a type of Maxwell's equations^[2].
Jefimenko's equations's maintained by WikiProject is recorded as WikiProject Mathematics^[3].

Body

Definition and Type

Jefimenko's equations is a type of Maxwell's equations^[2].

Why It Matters

Jefimenko's equations ranks in the top 2% of general entities by monthly Wikipedia readership (525 views/month).^[1] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.^[4]

⭐ Popularity Graph

1/100 long tail

🌐 Wiki Languages

13 / 423 langs

📈 Wikipedia Views · last 247h

551/mo 980/yr

🔗 Readers Also Explored · clickstream

Oleg D. Jefimenko

117

Liénard–Wiechert potential

Quick Facts

Subclass of Maxwell's equations

Properties

Defining formula \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}', \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}'

Maintained by wikiproject WikiProject Mathematics

Named after Oleg D. Jefimenko

External References (2)

Freebase id /m/0b576h

Microsoft academic id (discontinued) 87631724

🌐 Available in 12 languages

enJefimenko's equations arمعادلات جيفمنكو esEcuaciones de Jefimenko faمعادلات جفیمنکو frÉquations de Jefimenko itEquazioni di Jefimenko jaジェフィメンコ方程式 ko예피멘코 방정식 ptEquações de Jefimenko ruУравнения Ефименко ukРівняння Єфименка zh傑斐緬柯方程式

🏷️ Also known as

en Jefimenko's equations ar معادلات جفمنكو de Jefimenko-Gleichungen es Ecuaciones de Jefimenko fa معادلات جفیمنکو fr Équations de Jefimenko it Equazioni di Jefimenko ja ジェフィメンコ方程式 ko 예피멘코 방정식 pt Equações de Jefimenko ru Уравнения Джефименко ru Уравнения Ефименко uk Рівняння Єфименка zh 傑斐緬柯方程式 zh 杰斐缅柯方程 zh-hans 杰斐缅柯方程式

🔗 Connections

Maintained by wikiproject 1

WikiProject Mathematics

Subclass of 1

Maxwell's equations

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

Aggregate / graph-position facts

[1] ↑ Jefimenko's equations ranks in the top 2% of general entities by monthly Wikipedia readership (525 views/month).. Wikimedia Foundation. dumps.wikimedia.org.
[4] ↑ Jefimenko's equations has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.. Wikidata sitelinks. wikidata.org.

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Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA

4ort.xyz Knowledge Graph. (2026). Jefimenko's equations. Retrieved April 10, 2026, from https://4ort.xyz/entity/jefimenko-s-equations

MLA

“Jefimenko's equations.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/jefimenko-s-equations.

BibTeX

@misc{4ortxyz_jefimenko-s-equations_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Jefimenko's equations}}, year = {2026}, url = {https://4ort.xyz/entity/jefimenko-s-equations}, note = {Accessed: 2026-04-10}}

LLM prompt

According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Jefimenko's equations — https://4ort.xyz/entity/jefimenko-s-equations (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/jefimenko-s-equations · Last refreshed: April 10, 2026

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

15d ago · Infovarius · 2026-08-16 view diff on Wikidata ↗

Aliases → —

Named after → Q4177346

Maintained by wikiproject → WikiProject Mathematics

Subclass of → —

+ 1 other property edited (see Wikidata diff for full list)

"/* wbcreateclaim-create:1| */ [[Property:P138]]: [[Q4177346]], import w/ [[Wikidata:Wwwyzzerdd|🧙 Wwwyzzerdd for Wikidata]]"

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