25:
721:
1749:
1618:
1317:
1624:
1520:
1511:
1137:
953:
1189:
619:
864:
1405:
1451:
1038:
The statcoulomb is defined as follows: If two stationary objects each carry a charge of 1 statC and are 1 cm apart in vacuum, they will electrically repel each other with a force of 1
1744:{\displaystyle \mathrm {1~C} \times {\sqrt {\frac {4\pi \times 10^{9}}{\epsilon _{0}}}}=\mathrm {3.7673\times 10^{10}~statC} \qquad {\text{(as unit of }}\Phi _{\mathbf {D} }{\text{).}}}
1456:
306:
146:
992:
freely switch between coulombs and statcoulombs within a formula or equation, as one would freely switch between centimetres and metres. One can, however, find a
1791:
1055:
871:
552:
1613:{\displaystyle \mathrm {1~C} ~{\overset {\frown }{=}}~\mathrm {3.7673\times 10^{10}~statC} \qquad {\text{(as unit of }}\Phi _{\mathbf {D} }{\text{).}}}
1357:
343:(C) as its unit of electric charge. The conversion between the units coulomb and the statcoulomb depends on the context. The most common contexts are:
731:
1409:
981:
dimensionally equivalent to , unlike the statcoulomb. In fact, it is impossible to express the coulomb in terms of mass, length, and time alone.
1312:{\displaystyle q={\sqrt {4\pi \epsilon _{0}\times \mathrm {10^{-9}~kg{\cdot }m^{3}{\cdot }s^{-2}} }}\approx \mathrm {3.33564\times 10^{-10}~C} }
800:
525:. The coulomb is an extremely large charge rarely encountered in electrostatics, while the statcoulomb is closer to everyday charges.
533:
The statcoulomb is defined such that if two stationary spherically symmetric objects each carry a charge of 1 statC and are
1007:" when describing the charge of objects. In other words, if a physical object has a charge of 1 C, it also has a charge of
737:
466:
97:
1786:
69:
662:
766:
439:
The symbol "≘" ('corresponds to') is used instead of "=" because the two sides are not interchangeable, as discussed
116:
54:
76:
137:
50:
336:
248:
218:
83:
46:
1342:
1027:
470:
461:
when expressed in the unit metre/second, with a small uncertainty. In the context of electric flux, the
65:
1513:
Therefore, the conversion factor for flux and the conversion factor for charge differ by a ratio of 4
35:
1350:) has units of charge: statC in CGS and coulombs in SI. The conversion factor can be derived from
1767:
39:
1506:{\displaystyle \Phi _{\mathbf {D} }\equiv \int _{S}\mathbf {D} \cdot \mathrm {d} \mathbf {A} }
669:
is based; see below.) We can be more specific in light of the definition above: Substituting
654:
8:
966:
319:
That is, it is defined so that the CGS-ESU quantity that the proportionality constant in
298:
90:
1132:{\displaystyle F={\frac {q_{1}^{\text{SI}}q_{2}^{\text{SI}}}{4\pi \epsilon _{0}r^{2}}}}
996:
between coulombs and statcoulombs in different contexts. As described below, "1 C
948:{\displaystyle F={\frac {q_{1}^{\text{SI}}q_{2}^{\text{SI}}}{4\pi \epsilon _{0}r^{2}}}}
1321:
Therefore, an object with a CGS charge of 1 statC has a charge of approximately
744:
658:
302:
156:
784:
748:
542:
320:
348:
1351:
988: statC" is misleading: the units on the two sides are not consistent. One
788:
546:
458:
310:
142:
1042:. From this definition, it is straightforward to find an equivalent charge in
1780:
1338:
393:
440:
710:
522:
614:{\displaystyle F={\frac {q_{1}^{\text{G}}q_{2}^{\text{G}}}{r^{2}}},}
24:
1770:, the correspondence given is not exact, although it is very close.
1332:
859:{\displaystyle F={\frac {q_{1}^{\text{G}}q_{2}^{\text{G}}}{r^{2}}}}
1400:{\displaystyle \Phi _{\mathbf {D} }^{\text{G}}=4\pi Q^{\text{G}}}
1043:
974:
340:
264:
237:
537:
apart, the force of mutual electrical repulsion will be 1
1446:{\displaystyle \Phi _{\mathbf {D} }^{\text{SI}}=Q^{\text{SI}}}
738:
Gaussian units#Major differences between
Gaussian and SI units
518:
528:
1039:
538:
326:
It can be converted to the corresponding SI quantity using
1047:
792:
666:
462:
661:
in CGS must be . (This statement is not true in the
1627:
1523:
1459:
1412:
1360:
1192:
1058:
984:
Consequently, a conversion equation like "1 C =
874:
803:
555:
711:
Dimensional relation between statcoulomb and coulomb
457:is very close to 10 times the numeric value of the
1743:
1612:
1505:
1445:
1399:
1311:
1131:
947:
858:
613:
307:centimetre–gram–second electrostatic units variant
443:. The numerical part of the conversion factor of
1778:
1333:As a unit of electric displacement field or flux
653:is the distance between the charges. Performing
313:systems of units. It is a derived unit given by
1150:= 1 cm = 10 m, and then solving for
323:is a dimensionless quantity equal to 1.
316:1 statC = 1 dyn⋅cm = 1 cm⋅g⋅s.
53:. Unsourced material may be challenged and
779:
767:Learn how and when to remove this message
529:Definition and relation to CGS base units
117:Learn how and when to remove this message
732:not related to the topic of the article
1792:Centimetre–gram–second system of units
1779:
1033:
714:
51:adding citations to reliable sources
18:
657:on Coulomb's law, the dimension of
13:
1725:
1714:
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1708:
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1702:
1635:
1594:
1583:
1580:
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1531:
1494:
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1305:
1264:
1249:
1240:
1237:
663:International System of Quantities
14:
1803:
1730:
1599:
1499:
1486:
1466:
1419:
1367:
719:
541:. This repulsion is governed by
517:due to the relation between the
23:
1718:
1587:
1760:
735: and should be moved to
1:
1341:(specifically, a flux of the
1146:= 1 dyn = 10 N and
747:or discuss this issue on the
337:International System of Units
329:1 newton = 10 dyne
291:electrostatic unit of charge
7:
1343:electric displacement field
1028:electric displacement field
471:electric displacement field
16:CGS unit of electric charge
10:
1808:
1787:Units of electrical charge
649:are the two charges, and
244:
214:
200:
196:
178:
170:
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131:
1753:
1768:2019 revision of the SI
780:General incompatibility
1745:
1614:
1507:
1447:
1401:
1313:
1133:
1015:. Likewise, "1 C
949:
860:
615:
1746:
1615:
1508:
1448:
1402:
1314:
1134:
1026:" when describing an
950:
861:
730:may contain material
704:1 statC = g⋅cm⋅s
701:= 1 cm, we get:
616:
507:⇒ 1 statC/cm ≘ ~
332:1 cm = 10 m
1625:
1521:
1457:
1410:
1358:
1190:
1056:
872:
801:
789:Gaussian unit system
745:improve this section
697:= 1 statC, and
655:dimensional analysis
553:
166:Fr, statC, esu
47:improve this article
1429:
1377:
1097:
1082:
1034:As a unit of charge
973:dimensionless, the
967:vacuum permittivity
913:
898:
842:
827:
594:
579:
547:CGS-Gaussian system
480:1 C/m ≘ ~4π ×
299:unit of measurement
204:CGS base units
191:... is equal to ...
1741:
1610:
1503:
1443:
1413:
1397:
1361:
1309:
1129:
1083:
1068:
945:
899:
884:
856:
828:
813:
795:are respectively:
611:
580:
565:
477:) are related by:
426:⇒ 1 statC ≘ ~
377:⇒ 1 statC ≘ ~
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202:
1739:
1722:
1721:(as unit of
1701:
1677:
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1590:(as unit of
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943:
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854:
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777:
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659:electrical charge
606:
592:
577:
402:1 C ≘ ~4π ×
303:electrical charge
271:
270:
179:Conversions
157:electrical charge
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1184:, the result is
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503:10 statC/cm
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59:
27:
19:
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665:upon which the
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349:electric charge
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1123:
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1113:
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1105:
1102:
1090:
1086:
1075:
1071:
1064:
1061:
1052:
1035:
1032:
1018:
1017:corresponds to
999:
998:corresponds to
995:
994:correspondence
991:
980:
972:
962:
939:
935:
929:
925:
921:
918:
906:
902:
891:
887:
880:
877:
868:
851:
847:
835:
831:
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809:
806:
797:
781:
778:
775:
774:
727:
725:
718:
712:
709:
703:
692:
680:
673:= 1 dyn,
644:
632:
625:is the force,
610:
603:
599:
587:
583:
572:
568:
561:
558:
530:
527:
506:
479:
459:speed of light
437:
436:
425:
401:
397:
390:
376:
352:
331:
328:
315:
309:(CGS-ESU) and
269:
268:
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31:
29:
22:
15:
9:
6:
4:
3:
2:
1804:
1793:
1790:
1788:
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1784:
1782:
1769:
1763:
1759:
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1683:
1679:
1671:
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1660:
1656:
1652:
1649:
1646:
1639:
1629:
1620:
1563:
1559:
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1552:
1543:
1540:
1525:
1516:
1490:
1480:
1476:
1472:
1434:
1430:
1388:
1384:
1381:
1378:
1353:
1348:
1344:
1340:
1339:electric flux
1330:
1297:
1294:
1290:
1286:
1283:
1279:
1271:
1268:
1259:
1253:
1244:
1229:
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1222:
1217:
1212:
1208:
1204:
1201:
1196:
1193:
1185:
1172:
1158:
1154:
1121:
1117:
1111:
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1103:
1100:
1088:
1084:
1073:
1069:
1062:
1059:
1051:
1049:
1045:
1041:
1031:
1029:
1024:10 statC
1016:
1013:10 statC
1005:10 statC
997:
993:
989:
987:
982:
978:
976:
970:
968:
961:
937:
933:
927:
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849:
845:
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829:
818:
814:
807:
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796:
794:
790:
786:
785:Coulomb's law
771:
768:
760:
757:February 2013
750:
746:
740:
739:
734:
733:
728:This section
726:
717:
716:
708:
707:as expected.
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668:
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570:
566:
559:
556:
548:
544:
543:Coulomb's law
540:
526:
524:
520:
478:
476:
472:
469:units for an
468:
464:
460:
455: statC/C
442:
422:10 statC
395:
394:electric flux
391:
373:10 statC
350:
346:
345:
344:
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327:
324:
322:
321:Coulomb's law
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210:1 cm⋅g⋅s
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107:December 2009
99:
96:
92:
89:
85:
82:
78:
75:
71:
68: –
67:
66:"Statcoulomb"
63:
62:Find sources:
56:
52:
48:
42:
41:
37:
32:This article
30:
26:
21:
20:
1762:
1621:
1514:
1346:
1336:
1320:
1170:
1156:
1152:
1142:and setting
1141:
1046:. Using the
1037:
985:
983:
959:
957:
783:
763:
754:
743:Please help
736:
729:
706:
698:
686:
674:
670:
650:
638:
626:
622:
532:
516:
474:
438:
353:1 C ≘ ~
334:
325:
318:
305:used in the
294:
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286:
282:
278:
274:
272:
190:
185:
153:Unit of
113:
104:
94:
87:
80:
73:
61:
45:Please help
33:
1352:Gauss's law
513:10 C/m
414: statC
365: statC
283:statcoulomb
138:Unit system
132:statcoulomb
1781:Categories
1766:As of the
866:(Gaussian)
523:centimetre
184:1 Fr
171:Derivation
77:newspapers
1726:Φ
1687:×
1668:ϵ
1653:×
1650:π
1640:×
1595:Φ
1556:×
1544:⌢
1491:⋅
1477:∫
1473:≡
1462:Φ
1415:Φ
1385:π
1363:Φ
1327:10 C
1295:−
1287:×
1280:≈
1269:−
1260:⋅
1245:⋅
1227:−
1218:×
1209:ϵ
1205:π
1108:ϵ
1104:π
1050:equation
924:ϵ
920:π
749:talk page
535:1 cm
432:10 C
386:10 C
339:uses the
297:) is the
34:does not
1044:coulombs
791:and the
741:instead.
549:states:
521:and the
311:Gaussian
275:franklin
263:10
257:≘ ~
236:10
227:≘ ~
221:(charge)
143:Gaussian
1284:3.33564
975:coulomb
787:in the
341:coulomb
335:In the
147:CGS-ESU
91:scholar
55:removed
40:sources
1700:
1684:3.7673
1633:
1569:
1553:3.7673
1549:
1536:
1529:
1453:where
1303:
1235:
1030:flux.
990:cannot
965:, the
958:Since
621:where
289:), or
251:(flux)
186:in ...
174:dyn⋅cm
163:Symbol
93:
86:
79:
72:
64:
1754:Notes
969:, is
519:metre
441:below
379:3.335
287:statC
229:3.335
98:JSTOR
84:books
1323:3.34
1040:dyne
1020:3.77
1009:3.00
1001:3.00
955:(SI)
637:and
539:dyne
509:2.65
499:3.77
465:and
428:2.65
418:3.77
392:For
369:3.00
347:For
301:for
273:The
259:2.65
70:news
38:any
36:cite
1337:An
979:not
977:is
971:not
490:580
487:924
484:997
467:CGS
453:580
450:924
447:997
412:580
409:924
406:997
400:):
363:580
360:924
357:997
295:esu
281:),
49:by
1783::
1738:).
1695:10
1691:10
1657:10
1607:).
1564:10
1560:10
1517::
1439:SI
1426:SI
1354::
1329:.
1298:10
1291:10
1223:10
1169:=
1155:=
1094:SI
1079:SI
1048:SI
910:SI
895:SI
793:SI
685:=
667:SI
497:≈
463:SI
416:≈
396:(Φ
381:64
367:≈
279:Fr
249:SI
231:64
219:SI
145:,
1731:D
1715:C
1712:t
1709:a
1706:t
1703:s
1680:=
1672:0
1661:9
1647:4
1636:C
1630:1
1600:D
1584:C
1581:t
1578:a
1575:t
1572:s
1541:=
1532:C
1526:1
1515:π
1500:A
1495:d
1487:D
1481:S
1467:D
1435:Q
1431:=
1420:D
1393:G
1389:Q
1382:4
1379:=
1374:G
1368:D
1347:D
1325:×
1306:C
1272:2
1265:s
1254:3
1250:m
1241:g
1238:k
1230:9
1213:0
1202:4
1197:=
1194:q
1178:2
1171:q
1164:1
1157:q
1153:q
1148:r
1144:F
1139:,
1122:2
1118:r
1112:0
1101:4
1089:2
1085:q
1074:1
1070:q
1063:=
1060:F
1022:×
1011:×
1003:×
986:n
963:0
960:ε
938:2
934:r
928:0
917:4
905:2
901:q
890:1
886:q
879:=
876:F
850:2
846:r
839:G
834:2
830:q
824:G
819:1
815:q
808:=
805:F
770:)
764:(
759:)
755:(
751:.
699:r
693:2
687:q
681:1
675:q
671:F
651:r
645:2
639:q
633:1
627:q
623:F
609:,
602:2
598:r
591:G
586:2
582:q
576:G
571:1
567:q
560:=
557:F
511:×
501:×
493:×
482:2
475:D
473:(
445:2
434:.
430:×
420:×
404:2
398:D
388:.
384:×
371:×
355:2
351::
293:(
285:(
277:(
265:C
261:×
238:C
234:×
120:)
114:(
109:)
105:(
95:·
88:·
81:·
74:·
57:.
43:.
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