Solenoidal vector field

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Solenoidal vector field

Quality:

Solenoidal vector field - In vector calculus a solenoidal vector field is a vector field v with divergence zero at all points in the field:. Article “Solenoidal vector field” in English Wikipedia has 15.4 points for quality (as of July 1, 2025). The article contains 1 references and 6 sections.

This article has the best quality in Greek Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Solenoidal vector field”, its content was written by 43 registered users of English Wikipedia and edited by 246 registered Wikipedia users in all languages.

The article is cited 76 times in English Wikipedia and cited 287 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #8427 in January 2004
  • Global: #22414 in January 2004

The highest popularity rank from 2008:

  • Local (English): #209805 in December 2020
  • Global: #191183 in January 2015

There are 21 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Greek (el)
Σωληνοειδές διανυσματικό πεδίο
27.1104
2Kazakh (kk)
Құйынды өріс
21.248
3Slovenian (sl)
Solenoidalno polje
19.3479
4English (en)
Solenoidal vector field
15.3634
5Persian (fa)
میدان سلونوئیدی
14.1978
6Spanish (es)
Campo solenoidal
11.9727
7Russian (ru)
Соленоидальное векторное поле
9.1725
8Italian (it)
Campo vettoriale solenoidale
7.4351
9Hebrew (he)
שדה וקטורי סולנואידי
6.3226
10Ukrainian (uk)
Соленоїдне векторне поле
6.2129
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Solenoidal vector field" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Solenoidal vector field
703 519
2Italian (it)
Campo vettoriale solenoidale
224 985
3Russian (ru)
Соленоидальное векторное поле
140 221
4Spanish (es)
Campo solenoidal
120 294
5German (de)
Quellfreies Vektorfeld
100 737
6Chinese (zh)
螺線向量場
40 683
7French (fr)
Champ solénoïdal
30 715
8Portuguese (pt)
Campo solenoidal
17 737
9Swedish (sv)
Solenoidalt fält
12 243
10Dutch (nl)
Divergentievrij vectorveld
10 860
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Solenoidal vector field" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Solenoidal vector field
2 001
2Italian (it)
Campo vettoriale solenoidale
397
3Russian (ru)
Соленоидальное векторное поле
305
4Spanish (es)
Campo solenoidal
176
5German (de)
Quellfreies Vektorfeld
146
6Chinese (zh)
螺線向量場
141
7Greek (el)
Σωληνοειδές διανυσματικό πεδίο
108
8French (fr)
Champ solénoïdal
82
9Swedish (sv)
Solenoidalt fält
35
10Portuguese (pt)
Campo solenoidal
33
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Solenoidal vector field" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Solenoidal vector field
43
2German (de)
Quellfreies Vektorfeld
40
3Italian (it)
Campo vettoriale solenoidale
36
4Russian (ru)
Соленоидальное векторное поле
30
5French (fr)
Champ solénoïdal
28
6Swedish (sv)
Solenoidalt fält
11
7Dutch (nl)
Divergentievrij vectorveld
10
8Hebrew (he)
שדה וקטורי סולנואידי
7
9Catalan (ca)
Camp solenoidal
6
10Spanish (es)
Campo solenoidal
5
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Solenoidal vector field" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Camp solenoidal
1
2German (de)
Quellfreies Vektorfeld
0
3Greek (el)
Σωληνοειδές διανυσματικό πεδίο
0
4English (en)
Solenoidal vector field
0
5Spanish (es)
Campo solenoidal
0
6Persian (fa)
میدان سلونوئیدی
0
7French (fr)
Champ solénoïdal
0
8Hebrew (he)
שדה וקטורי סולנואידי
0
9Hindi (hi)
सोलेनोइदल वेक्टर
0
10Armenian (hy)
Սոլենոիդային վեկտորական դաշտ
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Solenoidal vector field" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Solenoidal vector field
76
2German (de)
Quellfreies Vektorfeld
29
3Italian (it)
Campo vettoriale solenoidale
26
4Spanish (es)
Campo solenoidal
23
5Russian (ru)
Соленоидальное векторное поле
22
6Catalan (ca)
Camp solenoidal
16
7Chinese (zh)
螺線向量場
15
8Dutch (nl)
Divergentievrij vectorveld
12
9Swedish (sv)
Solenoidalt fält
12
10Portuguese (pt)
Campo solenoidal
10
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Camp solenoidal
deGerman
Quellfreies Vektorfeld
elGreek
Σωληνοειδές διανυσματικό πεδίο
enEnglish
Solenoidal vector field
esSpanish
Campo solenoidal
faPersian
میدان سلونوئیدی
frFrench
Champ solénoïdal
heHebrew
שדה וקטורי סולנואידי
hiHindi
सोलेनोइदल वेक्टर
hyArmenian
Սոլենոիդային վեկտորական դաշտ
itItalian
Campo vettoriale solenoidale
kkKazakh
Құйынды өріс
nlDutch
Divergentievrij vectorveld
ptPortuguese
Campo solenoidal
roRomanian
Câmp solenoidal
ruRussian
Соленоидальное векторное поле
shSerbo-Croatian
Solenoidalno vektorsko polje
slSlovenian
Solenoidalno polje
svSwedish
Solenoidalt fält
ukUkrainian
Соленоїдне векторне поле
zhChinese
螺線向量場

Popularity rank trends

Best Rank English:
#209805
12.2020
Global:
#191183
01.2015

AI rank trends

Best Rank English:
#8427
01.2004
Global:
#22414
01.2004

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Solenoidal vector field from Wikipedia articles about Divergence, Magnetic field, Helmholtz decomposition, Conservative vector field and Vector potential. Whereas reading the article about Solenoidal vector field people most often go to Wikipedia articles on Helmholtz decomposition, Conservative vector field, Divergence, Sources and sinks and Incompressible fluid.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 10 February 2026

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In English Wikipedia the most popular articles on that day were: Bad Bunny, Jeffrey Epstein, Epstein files, Ilia Malinin, Savannah Guthrie, Ghislaine Maxwell, 2026 Winter Olympics, List of Super Bowl halftime shows, Eileen Gu, Jutta Leerdam.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information