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Permeability (electromagnetism)

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3330: 43: 1901: 1911:
The following table should be used with caution as the permeability of ferromagnetic materials varies greatly with field strength and specific composition and fabrication. For example, 4% electrical steel has an initial relative permeability (at or near 0 T) of 2,000 and a maximum of 38,000 at T
1720:
magnetization because only a small fraction of the spins will be oriented by the field. This fraction is proportional to the field strength and this explains the linear dependency. The attraction experienced by ferromagnets is non-linear and much stronger so that it is easily observed, for instance,
3367:
A useful tool for dealing with high frequency magnetic effects is the complex permeability. While at low frequencies in a linear material the magnetic field and the auxiliary magnetic field are simply proportional to each other through some scalar permeability, at high frequencies these quantities
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Permeability varies with a magnetic field. Values shown above are approximate and valid only at the magnetic fields shown. They are given for a zero frequency; in practice, the permeability is generally a function of the frequency. When the frequency is considered, the permeability can be
3698: 1739: 3846: 4329: 3471: 1912:= 1 and different range of values at different percent of Si and manufacturing process, and, indeed, the relative permeability of any material at a sufficiently high field strength trends toward 1 (at magnetic saturation). 4294: 1365: 1637:
in opposition of an externally applied magnetic field, thus causing a repulsive effect. Specifically, an external magnetic field alters the orbital velocity of electrons around their atom's nuclei, thus changing the
3914: 3545: 1896:{\displaystyle {\begin{aligned}\mathbf {B} (\omega )&={\begin{vmatrix}\mu _{1}&-i\mu _{2}&0\\i\mu _{2}&\mu _{1}&0\\0&0&\mu _{z}\end{vmatrix}}\mathbf {H} (\omega )\end{aligned}}} 1468: 1242: 1744: 1685:
which occurs only in the presence of an externally applied magnetic field. Paramagnetic materials are attracted to magnetic fields, hence have a relative magnetic permeability greater than
1118: 1562: 3716: 1406: 1501: 4305: 3494: 1733:) the magnetic permeability response to an alternating electromagnetic field in the microwave frequency domain is treated as a non-diagonal tensor expressed by: 3534: 3514: 932: 912: 892: 600: 4369: 3378: 573: 1660:
that a substance exhibits only in the presence of an externally applied magnetic field. It is generally a quite weak effect in most materials, although
984:
or the permeability of free space, is the proportionality between magnetic induction and magnetizing force when forming a magnetic field in a classical
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without it. Thus the total magnetization will drop to zero when the applied field is removed. Even in the presence of the field, there is only a small
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Understanding permeability as the ratio of the magnetic flux density to the magnetic field, the ratio of the phasors can be written and simplified as
585: 4049: 1296: 4739: 3693:{\displaystyle \mu ={\frac {B}{H}}={\frac {B_{0}e^{j\left(\omega t-\delta \right)}}{H_{0}e^{j\omega t}}}={\frac {B_{0}}{H_{0}}}e^{-j\delta },} 1274:
appears directly (in the SI Maxwell's equations) as a factor that relates total electric currents and time-varying electric fields to the
836: 605: 1421: 615: 1208: 440: 4592: 4198: 4130: 4030: 455: 450: 77: 3861: 2104: 3982:
The permeability of austenitic stainless steel strongly depends on the history of mechanical strain applied to it, e.g. by
465: 999:
proportionality factor that indicates the degree of magnetization of a material in response to an applied magnetic field.
4467: 1008: 935: 67: 335: 1174:. The concept of permeability is then nonsensical or at least only applicable to special cases such as unsaturated 1090: 1076:
The concept of permeability arises since in many materials (and in vacuum), there is a simple relationship between
829: 595: 72: 1708:, paramagnets do not retain any magnetization in the absence of an externally applied magnetic field, because 4188: 610: 315: 3841:{\displaystyle \mu ={\frac {B_{0}}{H_{0}}}\cos(\delta )-j{\frac {B_{0}}{H_{0}}}\sin(\delta )=\mu '-j\mu ''.} 4744: 1521: 475: 215: 82: 4455: 205: 2780: 2315: 1382: 768: 643: 540: 515: 435: 1278:
field they generate. In order to represent the magnetic response of a linear material with permeability
268: 4006:
Magnetic Permeability, and Analogues in Electro-static Induction, Conduction of Heat, and Fluid Motion
1476: 4636:
B. D. Cullity and C. D. Graham (2008), Introduction to Magnetic Materials, 2nd edition, 568 pp., p.16
4564: 4045: 3963: 3338: 1057: 822: 783: 310: 300: 240: 235: 175: 4242:"Nickel Alloys-Stainless Steels, Nickel Copper Alloys, Nickel Chromium Alloys, Low Expansion Alloys" 4162: 4099:
G.W.C. Kaye & T.H. Laby, Table of Physical and Chemical Constants, 14th ed, Longman, "Si Steel"
320: 753: 255: 4724: 2464: 2429: 2390: 2349: 1690: 1512: 992: 633: 160: 150: 145: 4214: 1178:. Not only do these materials have nonlinear magnetic behaviour, but often there is significant 758: 728: 4713: 4269: 1639: 1575: 1260: 1129: 996: 580: 350: 125: 4702: 4582: 4348: 4108: 4005: 3479: 1643: 1368: 678: 365: 355: 305: 295: 4503: 4708: 4071: 3369: 1046: 1027: 1020: 947: 803: 703: 668: 420: 285: 185: 170: 105: 4647: 4431: 3919:
which provides a measure of how much power is lost in material versus how much is stored.
1408:, is the ratio of the permeability of a specific medium to the permeability of free space 1084:
at any location or time, in that the two fields are precisely proportional to each other:
42: 8: 4419: 3948: 3348: 1508: 1179: 1031: 763: 743: 738: 545: 530: 415: 385: 280: 210: 4383: 4075: 3351:
a relative permeability below 1 is needed (corresponding to a negative susceptibility).
3329: 4718: 4616: 3928: 3707: 3519: 3499: 2814: 2281: 917: 897: 877: 638: 378: 180: 140: 4468:
https://www.micrometalsarnoldpowdercores.com/products/materials/sendust-high-frequency
3851:
The ratio of the imaginary to the real part of the complex permeability is called the
3333:
Magnetisation curve for ferromagnets (and ferrimagnets) and corresponding permeability
460: 19:
This article is about the magnetic constant. For the analogous electric constant, see
4588: 4194: 4026: 981: 698: 3466:{\displaystyle H=H_{0}e^{j\omega t}\qquad B=B_{0}e^{j\left(\omega t-\delta \right)}} 1704:. It typically requires a sensitive analytical balance to detect the effect. Unlike 4443: 4079: 3281: 2847: 2255: 1730: 1163: 943: 850: 798: 713: 673: 663: 550: 505: 488: 405: 340: 110: 34: 4407: 4395: 4138: 4241: 733: 658: 653: 520: 395: 360: 220: 120: 4648:"Determination of dielectric properties of insitu concrete at radar frequencies" 1367:. The magnetization in turn is a contribution to the total electric current—the 773: 4669: 3943: 3356: 3308: 1709: 1705: 1661: 1634: 1012: 872: 862: 693: 688: 510: 400: 325: 275: 225: 198: 155: 130: 100: 93: 1642:
in the direction opposing the external field. Diamagnets are materials with a
4733: 4580: 3953: 3938: 3710:, the complex permeability can be translated from polar to rectangular form, 1673: 1360:{\displaystyle \mathbf {M} =\left(\mu _{0}^{-1}-\mu ^{-1}\right)\mathbf {B} } 1283: 1175: 1053: 966: 858: 808: 793: 778: 718: 430: 345: 330: 245: 230: 135: 3368:
will react to each other with some lag time. These fields can be written as
4539: 3983: 3958: 3933: 3852: 1625: 1144: 1132:(also known as permeability of free space) is a physical constant, denoted 1069: 958: 939: 788: 683: 648: 590: 525: 445: 410: 290: 165: 20: 865:. Permeability is typically represented by the (italicized) Greek letter 4515: 866: 708: 560: 390: 52: 4479: 4456:
https://www.micrometalsarnoldpowdercores.com/products/materials/sendust
1686: 1182:, so there is not even a single-valued functional relationship between 425: 4083: 2073: 1916:
Magnetic susceptibility and permeability data for selected materials
1682: 1657: 748: 723: 535: 57: 1374: 1198:
and slightly changing the fields, it is still possible to define an
4562: 3109: 3042: 3023: 2905: 2872: 2166: 2136: 500: 495: 115: 4062:
Kales, M. L. (1953). "Modes in Wave Guides Containing Ferrites".
3241: 2006: 470: 4367: 4382:
According to Ferroxcube (formerly Philips) Soft Ferrites data.
3152: 3082: 2746: 1974: 1156: 1039: 985: 970: 555: 62: 4466:
According to Micrometals-Arnold High Frequency Sendust data.
3201: 2718: 1463:{\displaystyle \mu _{\mathrm {r} }={\frac {\mu }{\mu _{0}}},} 962: 1162:
However, inside strong magnetic materials (such as iron, or
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https://publikationen.bibliothek.kit.edu/1000066142/4047647
4109:
https://publikationen.bibliothek.kit.edu/1000066142/4047647
3359:, corresponding to the in-phase and out of phase response. 2945: 2227: 2042: 1237:{\displaystyle \Delta \mathbf {B} =\mu \Delta \mathbf {H} } 1065: 4581:
Juha Pyrhönen; Tapani Jokinen; Valéria Hrabovcová (2009).
4504:
https://www.mag-inc.com/Products/Powder-Cores/XFlux-Cores
2984: 1633:
is the property of an object which causes it to create a
1128:
is the permeability, which depends on the material. The
4432:
https://www.mag-inc.com/Products/Powder-Cores/MPP-Cores
954: 4430:
According to Magnetics MPP-molypermalloy powder data.
4420:
http://www.ferronics.com/catalog/ferronics_catalog.pdf
3909:{\displaystyle \tan(\delta )={\frac {\mu ''}{\mu '}},} 1773: 4384:
https://www.ferroxcube.com/zh-CN/download/download/21
3864: 3719: 3548: 3522: 3502: 3482: 3381: 1742: 1524: 1479: 1424: 1385: 1299: 1211: 1166:), there is typically no simple relationship between 1093: 920: 900: 880: 4670:"Magnetics Design 2 – Magnetic Core Characteristics" 1696:
The magnetic moment induced by the applied field is
1190:. However, considering starting at a given value of 1151:
would be a scalar, but for an anisotropic material,
4163:""Magnetic Properties of Ferromagnetic Materials", 4020: 3703:so that the permeability becomes a complex number. 1906: 3908: 3840: 3692: 3528: 3508: 3488: 3465: 1895: 1556: 1495: 1462: 1400: 1375:Relative permeability and magnetic susceptibility 1359: 1236: 1112: 926: 906: 886: 861:produced in a material in response to an applied 4731: 4617:"Magnetic properties of materials, surrey.ac.uk" 4444:http://www.mmgca.com/catalogue/MMG-Sailcrest.pdf 4190:Introduction to Magnetism and Magnetic Materials 1026:which is generated around electric currents and 4408:https://www.doe.cz/wp-content/uploads/fonox.pdf 4396:https://www.thierry-lequeu.fr/data/SIFERRIT.pdf 4394:According to Siemens Matsushita SIFERRIT data. 4287: 4454:According to Micrometals-Arnold Sendust data. 4025:(3nd ed.). New York: Wiley. p. 193. 4614: 4442:According to MMG IOM Limited High Flux data. 1379:Relative permeability, denoted by the symbol 1113:{\displaystyle \mathbf {B} =\mu \mathbf {H} } 1052:which acts back on the electrical domain, by 830: 4725:Conductor Bulk Resistivity & Skin Depths 4563:British Stainless Steel Association (2000). 4363: 4361: 4359: 4357: 4215:""Typical material properties of NANOPERM", 1143:are volt-seconds/ampere-meter, equivalently 4630: 4095: 4093: 1261:microscopic formulation of electromagnetism 1009:macroscopic formulation of electromagnetism 991:A closely related property of materials is 946:in 1885. The reciprocal of permeability is 4667: 4418:According to Ferronics Incorporated data. 837: 823: 41: 4610: 4608: 4606: 4604: 4370:"Magnetic Properties of Stainless Steels" 4368:Carpenter Technology Corporation (2013). 4354: 4330:""Permeability of Some Common Materials"" 4322: 4304:. www.vacuumschmeltze.com. Archived from 4016: 4014: 1511:. In terms of relative permeability, the 973:squared (N/A). The permeability constant 4679: 4565:"Magnetic Properties of Stainless Steel" 4406:According to PRAMET Šumperk fonox data. 4264: 4262: 4260: 4258: 4207: 4090: 3328: 1700:in the field strength, and it is rather 1656:Consequently, diamagnetism is a form of 934:in a material. The term was coined by 3362: 1653:(a relative permeability less than 1). 1586:susceptibility, to distinguish it from 586:Electromagnetism and special relativity 4740:Electric and magnetic fields in matter 4732: 4601: 4584:Design of Rotating Electrical Machines 4234: 4157: 4155: 4123: 4011: 1011:, there appear two different kinds of 4295:""Soft Magnetic Cobalt-Iron Alloys", 4255: 4186: 4180: 4061: 2710: 2674: 2639: 2603: 2568: 2532: 2495: 2421: 2381: 2380: 1934: 1557:{\displaystyle \chi _{m}=\mu _{r}-1.} 606:Maxwell equations in curved spacetime 4587:. John Wiley and Sons. p. 232. 4556: 4705:- a chapter from an online textbook 4645: 4570:. Stainless Steel Advisory Service. 4540:"Micrometals Powder Core Solutions" 4516:"Micrometals Powder Core Solutions" 4502:According to Magnetics XFlux data. 4480:"Micrometals Powder Core Solutions" 4372:. Carpenter Technology Corporation. 4169:. C.R Nave Georgia State University 4152: 2576:Al-Si-Fe powder compound (Sendust) 2199:(high permeability strip material) 1509:magnetic permeability of free space 1401:{\displaystyle \mu _{\mathrm {r} }} 957:units, permeability is measured in 13: 1721:in magnets on one's refrigerator. 1431: 1392: 1263:, where there is no concept of an 1226: 1212: 1032:emanates from the poles of magnets 14: 4756: 4696: 4131:""Metglas Magnetic Alloy 2714A", 4046:The International System of Units 1124:where the proportionality factor 936:William Thomson, 1st Baron Kelvin 4719:Magnetic Properties of Materials 4689:, Berlin: Springer-Verlag, 2008. 4351:for 38000 at 1 T figure 5.2 1907:Values for some common materials 1876: 1748: 1724: 1667: 1507: × 10 H/m is the 1496:{\displaystyle \mu _{0}\approx } 1353: 1301: 1230: 1216: 1106: 1095: 4661: 4639: 4574: 4532: 4508: 4496: 4472: 4460: 4448: 4436: 4424: 4412: 4400: 4388: 4376: 4342: 4276:. Hyperphysics.phy-astr.gsu.edu 3976: 3414: 2045:(99.95% pure Fe annealed in H) 1967: 1937: 1619: 1289:that arises in response to the 1267:field, the vacuum permeability 4114: 4102: 4055: 4039: 3999: 3877: 3871: 3807: 3801: 3762: 3756: 2682:Carbonyl iron powder compound 1886: 1880: 1758: 1752: 1689:(or, equivalently, a positive 1002: 1: 4137:. Metglas.com. Archived from 3992: 3341:must have high permeability. 2647:Silicon iron powder compound 1729:For gyromagnetic media (see 1054:curving the motion of charges 611:Relativistic electromagnetism 4021:Jackson, John David (1998). 2540:Nickel iron powder compound 2505:(molypermalloy powder, MPP) 1282:, this instead appears as a 938:in 1872, and used alongside 7: 3922: 2781:Martensitic stainless steel 2713:20 kHz – 500 MHz 2432:(magnesium manganese zinc) 2316:Martensitic stainless steel 1712:causes the spins to become 914:as a function of the field 10: 4761: 4270:""Relative Permeability", 4193:. CRC Press. p. 354. 4064:Journal of Applied Physics 2815:Austenitic stainless steel 2642:50 Hz – 220 MHz 2498:2 MHz – 150 MHz 2424:1 kHz – 400 MHz 1671: 1623: 965:(H/m), or equivalently in 871:. It is the ratio of the 336:Liénard–Wiechert potential 18: 4687:Fundamentals of magnetism 4111:for the 38,000 figure 5.2 4023:Classical Electrodynamics 3964:SI electromagnetism units 2677:50 Hz – 40 MHz 2503:Mo-Fe-Ni powder compound 2385:100 Hz – 4 MHz 1664:exhibit a strong effect. 1058:electromagnetic induction 894:to the magnetizing field 601:Mathematical descriptions 311:Electromagnetic radiation 301:Electromagnetic induction 241:Magnetic vector potential 236:Magnetic scalar potential 4048:, page 132, The ampere. 3969: 2606:50 Hz – 5 MHz 2571:50 Hz – 2 MHz 2535:50 Hz – 3 MHz 2282:Ferritic stainless steel 1200:incremental permeability 16:Ability of magnetization 4709:Permeability calculator 3489:{\displaystyle \delta } 1935:Relative permeability, 1691:magnetic susceptibility 1513:magnetic susceptibility 1155:could be a second rank 1068:-seconds/square meter ( 993:magnetic susceptibility 151:Electrostatic induction 146:Electrostatic discharge 3910: 3842: 3694: 3530: 3510: 3496:is the phase delay of 3490: 3467: 3339:magnetic core material 3334: 1897: 1640:magnetic dipole moment 1576:dimensionless quantity 1558: 1497: 1464: 1402: 1361: 1238: 1130:permeability of vacuum 1114: 928: 908: 888: 581:Electromagnetic tensor 4714:Relative Permeability 4187:Jiles, David (1998). 3911: 3843: 3695: 3531: 3511: 3491: 3468: 3332: 2611:Iron powder compound 2467:(cobalt nickel zinc) 1898: 1644:magnetic permeability 1559: 1498: 1465: 1403: 1369:magnetization current 1362: 1239: 1115: 1047:magnetic flux density 1028:displacement currents 929: 909: 889: 574:Covariant formulation 366:Synchrotron radiation 306:Electromagnetic pulse 296:Electromagnetic field 4675:. Texas Instruments. 3862: 3717: 3546: 3520: 3500: 3480: 3379: 3363:Complex permeability 1740: 1601:susceptibility) and 1522: 1477: 1422: 1383: 1297: 1209: 1091: 980:, also known as the 948:magnetic reluctivity 918: 898: 878: 616:Stress–energy tensor 541:Reluctance (complex) 286:Displacement current 4745:Physical quantities 4668:Dixon, L H (2001). 4615:Richard A. Clarke. 4544:www.micrometals.com 4244:. Nickel-alloys.net 4076:1953JAP....24..604K 3949:Magnetic reluctance 3349:magnetic levitation 1917: 1578:, sometimes called 1330: 1180:magnetic hysteresis 1147:/meter. Typically 1034:. The SI units of 531:Magnetomotive force 416:Electromotive force 386:Alternating current 321:Jefimenko equations 281:Cyclotron radiation 3929:Antiferromagnetism 3906: 3838: 3690: 3526: 3506: 3486: 3463: 3335: 1915: 1893: 1891: 1869: 1554: 1493: 1460: 1398: 1357: 1313: 1234: 1139:. The SI units of 1110: 1060:. The SI units of 924: 904: 884: 873:magnetic induction 857:is the measure of 379:Electrical network 216:Gauss magnetic law 181:Static electricity 141:Electric potential 4619:. Ee.surrey.ac.uk 4594:978-0-470-69516-6 4200:978-0-412-79860-3 4084:10.1063/1.1721335 4032:978-0-471-30932-1 3901: 3793: 3748: 3669: 3642: 3563: 3529:{\displaystyle H} 3509:{\displaystyle B} 3327: 3326: 2352:(manganese zinc) 2009:2714A (annealed) 1714:randomly oriented 1616:susceptibility). 1455: 1164:permanent magnets 1021:magnetizing field 982:magnetic constant 927:{\displaystyle H} 907:{\displaystyle H} 887:{\displaystyle B} 847: 846: 546:Reluctance (real) 516:Gyrator–capacitor 461:Resonant cavities 351:Maxwell equations 4752: 4703:Electromagnetism 4690: 4683: 4677: 4676: 4674: 4665: 4659: 4658: 4656: 4655: 4643: 4637: 4634: 4628: 4627: 4625: 4624: 4612: 4599: 4598: 4578: 4572: 4571: 4569: 4560: 4554: 4553: 4551: 4550: 4536: 4530: 4529: 4527: 4526: 4512: 4506: 4500: 4494: 4493: 4491: 4490: 4476: 4470: 4464: 4458: 4452: 4446: 4440: 4434: 4428: 4422: 4416: 4410: 4404: 4398: 4392: 4386: 4380: 4374: 4373: 4365: 4352: 4346: 4340: 4339: 4337: 4336: 4326: 4320: 4319: 4317: 4316: 4310: 4303: 4291: 4285: 4284: 4282: 4281: 4266: 4253: 4252: 4250: 4249: 4238: 4232: 4231: 4229: 4228: 4223: 4211: 4205: 4204: 4184: 4178: 4177: 4175: 4174: 4159: 4150: 4149: 4147: 4146: 4127: 4121: 4118: 4112: 4106: 4100: 4097: 4088: 4087: 4059: 4053: 4043: 4037: 4036: 4018: 4009: 4003: 3986: 3980: 3915: 3913: 3912: 3907: 3902: 3900: 3892: 3884: 3847: 3845: 3844: 3839: 3834: 3820: 3794: 3792: 3791: 3782: 3781: 3772: 3749: 3747: 3746: 3737: 3736: 3727: 3699: 3697: 3696: 3691: 3686: 3685: 3670: 3668: 3667: 3658: 3657: 3648: 3643: 3641: 3640: 3639: 3624: 3623: 3613: 3612: 3611: 3610: 3606: 3580: 3579: 3569: 3564: 3556: 3535: 3533: 3532: 3527: 3515: 3513: 3512: 3507: 3495: 3493: 3492: 3487: 3472: 3470: 3469: 3464: 3462: 3461: 3460: 3456: 3430: 3429: 3413: 3412: 3397: 3396: 3299: 3297: 3290: 3282:Pyrolytic carbon 3272: 3270: 3267: 3260: 3259: 3252: 3250: 3232: 3230: 3227: 3220: 3219: 3212: 3210: 3192: 3190: 3187: 3180: 3179: 3172: 3170: 3163: 3161: 3143: 3141: 3138: 3131: 3130: 3127: 3120: 3118: 3100: 3098: 3091: 3073: 3071: 3068: 3061: 3060: 3053: 3051: 3014: 3012: 3009: 3006: 2999: 2998: 2995: 2975: 2973: 2970: 2967: 2960: 2959: 2956: 2936: 2934: 2931: 2924: 2923: 2916: 2914: 2896: 2894: 2891: 2884: 2883: 2863: 2861: 2848:Neodymium magnet 2838: 2836: 2830: 2828: 2805: 2803: 2797: 2795: 2770: 2768: 2762: 2760: 2736: 2734: 2727: 2712: 2704: 2702: 2696: 2694: 2676: 2669: 2667: 2661: 2659: 2641: 2633: 2631: 2625: 2623: 2605: 2598: 2596: 2590: 2588: 2570: 2562: 2560: 2554: 2552: 2534: 2527: 2525: 2519: 2517: 2497: 2489: 2487: 2481: 2479: 2454: 2452: 2446: 2444: 2423: 2415: 2413: 2407: 2405: 2384: 2383: 2374: 2372: 2366: 2364: 2340: 2338: 2332: 2330: 2306: 2304: 2298: 2296: 2274:At 0.002 T, 1 T 2271: 2269: 2256:Electrical steel 2246: 2244: 2237: 2218: 2216: 2209: 2208: 2187: 2185: 2178: 2177: 2157: 2155: 2148: 2147: 2125: 2123: 2116: 2115: 2094: 2092: 2085: 2084: 2064: 2062: 2055: 2054: 2031: 2029: 2022: 2021: 2018: 1997: 1995: 1992: 1989: 1969: 1939: 1926:volumetric, SI, 1918: 1914: 1902: 1900: 1899: 1894: 1892: 1879: 1874: 1873: 1866: 1865: 1837: 1836: 1825: 1824: 1803: 1802: 1785: 1784: 1751: 1731:Faraday rotation 1563: 1561: 1560: 1555: 1547: 1546: 1534: 1533: 1506: 1502: 1500: 1499: 1494: 1489: 1488: 1469: 1467: 1466: 1461: 1456: 1454: 1453: 1441: 1436: 1435: 1434: 1407: 1405: 1404: 1399: 1397: 1396: 1395: 1366: 1364: 1363: 1358: 1356: 1351: 1347: 1346: 1345: 1329: 1321: 1304: 1243: 1241: 1240: 1235: 1233: 1219: 1119: 1117: 1116: 1111: 1109: 1098: 944:Oliver Heaviside 933: 931: 930: 925: 913: 911: 910: 905: 893: 891: 890: 885: 851:electromagnetism 839: 832: 825: 506:Electric machine 489:Magnetic circuit 451:Parallel circuit 441:Network analysis 406:Electric current 341:London equations 186:Triboelectricity 176:Potential energy 45: 35:Electromagnetism 26: 25: 4760: 4759: 4755: 4754: 4753: 4751: 4750: 4749: 4730: 4729: 4699: 4694: 4693: 4684: 4680: 4672: 4666: 4662: 4653: 4651: 4644: 4640: 4635: 4631: 4622: 4620: 4613: 4602: 4595: 4579: 4575: 4567: 4561: 4557: 4548: 4546: 4538: 4537: 4533: 4524: 4522: 4520:micrometals.com 4514: 4513: 4509: 4501: 4497: 4488: 4486: 4484:micrometals.com 4478: 4477: 4473: 4465: 4461: 4453: 4449: 4441: 4437: 4429: 4425: 4417: 4413: 4405: 4401: 4393: 4389: 4381: 4377: 4366: 4355: 4347: 4343: 4334: 4332: 4328: 4327: 4323: 4314: 4312: 4308: 4301: 4297:Vacuumschmeltze 4293: 4292: 4288: 4279: 4277: 4268: 4267: 4256: 4247: 4245: 4240: 4239: 4235: 4226: 4224: 4221: 4213: 4212: 4208: 4201: 4185: 4181: 4172: 4170: 4161: 4160: 4153: 4144: 4142: 4129: 4128: 4124: 4119: 4115: 4107: 4103: 4098: 4091: 4060: 4056: 4044: 4040: 4033: 4019: 4012: 4004: 4000: 3995: 3990: 3989: 3981: 3977: 3972: 3925: 3893: 3885: 3883: 3863: 3860: 3859: 3827: 3813: 3787: 3783: 3777: 3773: 3771: 3742: 3738: 3732: 3728: 3726: 3718: 3715: 3714: 3708:Euler's formula 3675: 3671: 3663: 3659: 3653: 3649: 3647: 3629: 3625: 3619: 3615: 3614: 3593: 3589: 3585: 3581: 3575: 3571: 3570: 3568: 3555: 3547: 3544: 3543: 3521: 3518: 3517: 3501: 3498: 3497: 3481: 3478: 3477: 3443: 3439: 3435: 3431: 3425: 3421: 3402: 3398: 3392: 3388: 3380: 3377: 3376: 3365: 3309:Superconductors 3295: 3293: 3288: 3268: 3265: 3263: 3257: 3255: 3248: 3246: 3228: 3225: 3223: 3217: 3215: 3208: 3206: 3188: 3185: 3183: 3177: 3175: 3168: 3166: 3165: 3159: 3157: 3139: 3136: 3134: 3128: 3125: 3123: 3116: 3114: 3096: 3094: 3089: 3069: 3066: 3064: 3058: 3056: 3049: 3047: 3010: 3007: 3004: 3002: 2996: 2993: 2991: 2971: 2968: 2965: 2963: 2957: 2954: 2952: 2932: 2929: 2927: 2921: 2919: 2912: 2910: 2892: 2889: 2887: 2881: 2879: 2859: 2857: 2834: 2832: 2826: 2824: 2801: 2799: 2793: 2791: 2766: 2764: 2758: 2756: 2732: 2730: 2725: 2700: 2698: 2692: 2690: 2665: 2663: 2657: 2655: 2629: 2627: 2621: 2619: 2594: 2592: 2586: 2584: 2558: 2556: 2550: 2548: 2523: 2521: 2515: 2513: 2504: 2485: 2483: 2477: 2475: 2450: 2448: 2442: 2440: 2411: 2409: 2403: 2401: 2370: 2368: 2362: 2360: 2336: 2334: 2328: 2326: 2302: 2300: 2294: 2292: 2267: 2265: 2242: 2240: 2235: 2214: 2212: 2206: 2204: 2198: 2183: 2181: 2175: 2173: 2153: 2151: 2145: 2143: 2121: 2119: 2113: 2111: 2090: 2088: 2082: 2080: 2060: 2058: 2052: 2050: 2027: 2025: 2019: 2016: 2014: 1993: 1990: 1987: 1985: 1962: 1954: 1950: 1936: 1932: 1925: 1924:Susceptibility, 1909: 1890: 1889: 1875: 1868: 1867: 1861: 1857: 1855: 1850: 1844: 1843: 1838: 1832: 1828: 1826: 1820: 1816: 1810: 1809: 1804: 1798: 1794: 1786: 1780: 1776: 1769: 1768: 1761: 1747: 1743: 1741: 1738: 1737: 1727: 1676: 1670: 1662:superconductors 1652: 1628: 1622: 1607: 1592: 1573: 1542: 1538: 1529: 1525: 1523: 1520: 1519: 1504: 1484: 1480: 1478: 1475: 1474: 1449: 1445: 1440: 1430: 1429: 1425: 1423: 1420: 1419: 1414: 1391: 1390: 1386: 1384: 1381: 1380: 1377: 1352: 1338: 1334: 1322: 1317: 1312: 1308: 1300: 1298: 1295: 1294: 1273: 1229: 1215: 1210: 1207: 1206: 1138: 1105: 1094: 1092: 1089: 1088: 1005: 979: 919: 916: 915: 899: 896: 895: 879: 876: 875: 843: 814: 813: 629: 621: 620: 576: 566: 565: 521:Induction motor 491: 481: 480: 396:Current density 381: 371: 370: 361:Poynting vector 271: 269:Electrodynamics 261: 260: 256:Right-hand rule 221:Magnetic dipole 211:Biot–Savart law 201: 191: 190: 126:Electric dipole 121:Electric charge 96: 24: 17: 12: 11: 5: 4758: 4748: 4747: 4742: 4728: 4727: 4721: 4716: 4711: 4706: 4698: 4697:External links 4695: 4692: 4691: 4678: 4660: 4638: 4629: 4600: 4593: 4573: 4555: 4531: 4507: 4495: 4471: 4459: 4447: 4435: 4423: 4411: 4399: 4387: 4375: 4353: 4341: 4321: 4286: 4254: 4233: 4206: 4199: 4179: 4151: 4122: 4113: 4101: 4089: 4070:(5): 604–608. 4054: 4038: 4031: 4010: 3997: 3996: 3994: 3991: 3988: 3987: 3974: 3973: 3971: 3968: 3967: 3966: 3961: 3956: 3951: 3946: 3944:Ferromagnetism 3941: 3936: 3931: 3924: 3921: 3917: 3916: 3905: 3899: 3896: 3891: 3888: 3882: 3879: 3876: 3873: 3870: 3867: 3849: 3848: 3837: 3833: 3830: 3826: 3823: 3819: 3816: 3812: 3809: 3806: 3803: 3800: 3797: 3790: 3786: 3780: 3776: 3770: 3767: 3764: 3761: 3758: 3755: 3752: 3745: 3741: 3735: 3731: 3725: 3722: 3701: 3700: 3689: 3684: 3681: 3678: 3674: 3666: 3662: 3656: 3652: 3646: 3638: 3635: 3632: 3628: 3622: 3618: 3609: 3605: 3602: 3599: 3596: 3592: 3588: 3584: 3578: 3574: 3567: 3562: 3559: 3554: 3551: 3525: 3505: 3485: 3474: 3473: 3459: 3455: 3452: 3449: 3446: 3442: 3438: 3434: 3428: 3424: 3420: 3417: 3411: 3408: 3405: 3401: 3395: 3391: 3387: 3384: 3364: 3361: 3325: 3324: 3322: 3320: 3317: 3314: 3311: 3305: 3304: 3302: 3300: 3291: 3286: 3284: 3278: 3277: 3275: 3273: 3261: 3253: 3244: 3238: 3237: 3235: 3233: 3221: 3213: 3204: 3198: 3197: 3195: 3193: 3181: 3173: 3155: 3149: 3148: 3146: 3144: 3132: 3121: 3112: 3106: 3105: 3103: 3101: 3092: 3087: 3085: 3079: 3078: 3076: 3074: 3062: 3054: 3045: 3039: 3038: 3036: 3034: 3032: 3029: 3027: 3020: 3019: 3017: 3015: 3000: 2989: 2987: 2981: 2980: 2978: 2976: 2961: 2950: 2948: 2942: 2941: 2939: 2937: 2925: 2917: 2908: 2902: 2901: 2899: 2897: 2885: 2877: 2875: 2869: 2868: 2866: 2864: 2855: 2852: 2850: 2844: 2843: 2841: 2839: 2822: 2819: 2817: 2811: 2810: 2808: 2806: 2789: 2786: 2784: 2777: 2776: 2774: 2771: 2754: 2751: 2749: 2743: 2742: 2740: 2737: 2728: 2723: 2721: 2715: 2714: 2708: 2705: 2688: 2685: 2683: 2679: 2678: 2672: 2670: 2653: 2650: 2648: 2644: 2643: 2637: 2634: 2617: 2614: 2612: 2608: 2607: 2601: 2599: 2582: 2579: 2577: 2573: 2572: 2566: 2563: 2546: 2543: 2541: 2537: 2536: 2530: 2528: 2511: 2508: 2506: 2500: 2499: 2493: 2490: 2473: 2470: 2468: 2461: 2460: 2458: 2455: 2438: 2435: 2433: 2426: 2425: 2419: 2416: 2399: 2396: 2394: 2393:(nickel zinc) 2387: 2386: 2378: 2375: 2358: 2355: 2353: 2346: 2345: 2343: 2341: 2324: 2321: 2319: 2312: 2311: 2309: 2307: 2290: 2287: 2285: 2278: 2277: 2275: 2272: 2263: 2260: 2258: 2252: 2251: 2249: 2247: 2238: 2233: 2231: 2224: 2223: 2221: 2219: 2210: 2202: 2200: 2194: 2193: 2191: 2188: 2179: 2171: 2169: 2163: 2162: 2160: 2158: 2149: 2141: 2139: 2133: 2132: 2129: 2126: 2117: 2109: 2107: 2101: 2100: 2098: 2095: 2086: 2078: 2076: 2070: 2069: 2067: 2065: 2056: 2048: 2046: 2039: 2038: 2035: 2032: 2023: 2012: 2010: 2003: 2002: 2000: 1998: 1983: 1980: 1977: 1971: 1970: 1964: 1959: 1953:Permeability, 1951: 1948: 1933: 1930: 1922: 1908: 1905: 1904: 1903: 1888: 1885: 1882: 1878: 1872: 1864: 1860: 1856: 1854: 1851: 1849: 1846: 1845: 1842: 1839: 1835: 1831: 1827: 1823: 1819: 1815: 1812: 1811: 1808: 1805: 1801: 1797: 1793: 1790: 1787: 1783: 1779: 1775: 1774: 1772: 1767: 1764: 1762: 1760: 1757: 1754: 1750: 1746: 1745: 1726: 1723: 1710:thermal motion 1672:Main article: 1669: 1666: 1650: 1635:magnetic field 1624:Main article: 1621: 1618: 1605: 1590: 1571: 1565: 1564: 1553: 1550: 1545: 1541: 1537: 1532: 1528: 1492: 1487: 1483: 1471: 1470: 1459: 1452: 1448: 1444: 1439: 1433: 1428: 1412: 1394: 1389: 1376: 1373: 1355: 1350: 1344: 1341: 1337: 1333: 1328: 1325: 1320: 1316: 1311: 1307: 1303: 1271: 1256:are parallel. 1246: 1245: 1232: 1228: 1225: 1222: 1218: 1214: 1176:magnetic cores 1136: 1122: 1121: 1108: 1104: 1101: 1097: 1074: 1073: 1043: 1013:magnetic field 1004: 1001: 977: 923: 903: 883: 863:magnetic field 845: 844: 842: 841: 834: 827: 819: 816: 815: 812: 811: 806: 801: 796: 791: 786: 781: 776: 771: 766: 761: 756: 751: 746: 741: 736: 731: 726: 721: 716: 711: 706: 701: 696: 691: 686: 681: 676: 671: 666: 661: 656: 651: 646: 641: 636: 630: 627: 626: 623: 622: 619: 618: 613: 608: 603: 598: 596:Four-potential 593: 588: 583: 577: 572: 571: 568: 567: 564: 563: 558: 553: 548: 543: 538: 533: 528: 523: 518: 513: 511:Electric motor 508: 503: 498: 492: 487: 486: 483: 482: 479: 478: 473: 468: 466:Series circuit 463: 458: 453: 448: 443: 438: 436:Kirchhoff laws 433: 428: 423: 418: 413: 408: 403: 401:Direct current 398: 393: 388: 382: 377: 376: 373: 372: 369: 368: 363: 358: 356:Maxwell tensor 353: 348: 343: 338: 333: 328: 326:Larmor formula 323: 318: 313: 308: 303: 298: 293: 288: 283: 278: 276:Bremsstrahlung 272: 267: 266: 263: 262: 259: 258: 253: 248: 243: 238: 233: 228: 226:Magnetic field 223: 218: 213: 208: 202: 199:Magnetostatics 197: 196: 193: 192: 189: 188: 183: 178: 173: 168: 163: 158: 153: 148: 143: 138: 133: 131:Electric field 128: 123: 118: 113: 108: 103: 101:Charge density 97: 94:Electrostatics 92: 91: 88: 87: 86: 85: 80: 75: 70: 65: 60: 55: 47: 46: 38: 37: 31: 30: 29:Articles about 15: 9: 6: 4: 3: 2: 4757: 4746: 4743: 4741: 4738: 4737: 4735: 4726: 4722: 4720: 4717: 4715: 4712: 4710: 4707: 4704: 4701: 4700: 4688: 4685:M. Getzlaff, 4682: 4671: 4664: 4649: 4642: 4633: 4618: 4611: 4609: 4607: 4605: 4596: 4590: 4586: 4585: 4577: 4566: 4559: 4545: 4541: 4535: 4521: 4517: 4511: 4505: 4499: 4485: 4481: 4475: 4469: 4463: 4457: 4451: 4445: 4439: 4433: 4427: 4421: 4415: 4409: 4403: 4397: 4391: 4385: 4379: 4371: 4364: 4362: 4360: 4358: 4350: 4345: 4331: 4325: 4311:on 2016-05-23 4307: 4300: 4298: 4290: 4275: 4273: 4265: 4263: 4261: 4259: 4243: 4237: 4220: 4218: 4210: 4202: 4196: 4192: 4191: 4183: 4168: 4166: 4158: 4156: 4141:on 2012-02-06 4140: 4136: 4134: 4126: 4120:by definition 4117: 4110: 4105: 4096: 4094: 4085: 4081: 4077: 4073: 4069: 4065: 4058: 4051: 4047: 4042: 4034: 4028: 4024: 4017: 4015: 4008:, March 1872. 4007: 4002: 3998: 3985: 3979: 3975: 3965: 3962: 3960: 3957: 3955: 3954:Paramagnetism 3952: 3950: 3947: 3945: 3942: 3940: 3939:Electromagnet 3937: 3935: 3932: 3930: 3927: 3926: 3920: 3903: 3897: 3894: 3889: 3886: 3880: 3874: 3868: 3865: 3858: 3857: 3856: 3854: 3835: 3831: 3828: 3824: 3821: 3817: 3814: 3810: 3804: 3798: 3795: 3788: 3784: 3778: 3774: 3768: 3765: 3759: 3753: 3750: 3743: 3739: 3733: 3729: 3723: 3720: 3713: 3712: 3711: 3709: 3704: 3687: 3682: 3679: 3676: 3672: 3664: 3660: 3654: 3650: 3644: 3636: 3633: 3630: 3626: 3620: 3616: 3607: 3603: 3600: 3597: 3594: 3590: 3586: 3582: 3576: 3572: 3565: 3560: 3557: 3552: 3549: 3542: 3541: 3540: 3537: 3523: 3503: 3483: 3457: 3453: 3450: 3447: 3444: 3440: 3436: 3432: 3426: 3422: 3418: 3415: 3409: 3406: 3403: 3399: 3393: 3389: 3385: 3382: 3375: 3374: 3373: 3371: 3360: 3358: 3352: 3350: 3347: 3342: 3340: 3331: 3323: 3321: 3318: 3315: 3312: 3310: 3307: 3306: 3303: 3301: 3292: 3287: 3285: 3283: 3280: 3279: 3276: 3274: 3262: 3254: 3245: 3243: 3240: 3239: 3236: 3234: 3222: 3214: 3205: 3203: 3200: 3199: 3196: 3194: 3182: 3174: 3156: 3154: 3151: 3150: 3147: 3145: 3133: 3122: 3113: 3111: 3108: 3107: 3104: 3102: 3093: 3088: 3086: 3084: 3081: 3080: 3077: 3075: 3063: 3055: 3046: 3044: 3041: 3040: 3037: 3035: 3033: 3030: 3028: 3025: 3022: 3021: 3018: 3016: 3001: 2990: 2988: 2986: 2983: 2982: 2979: 2977: 2962: 2951: 2949: 2947: 2944: 2943: 2940: 2938: 2926: 2918: 2909: 2907: 2904: 2903: 2900: 2898: 2886: 2878: 2876: 2874: 2871: 2870: 2867: 2865: 2856: 2853: 2851: 2849: 2846: 2845: 2842: 2840: 2823: 2821:1.003 – 1.05 2820: 2818: 2816: 2813: 2812: 2809: 2807: 2790: 2787: 2785: 2782: 2779: 2778: 2775: 2772: 2755: 2752: 2750: 2748: 2745: 2744: 2741: 2738: 2729: 2724: 2722: 2720: 2717: 2716: 2709: 2706: 2689: 2686: 2684: 2681: 2680: 2673: 2671: 2654: 2651: 2649: 2646: 2645: 2638: 2635: 2618: 2615: 2613: 2610: 2609: 2602: 2600: 2583: 2580: 2578: 2575: 2574: 2567: 2564: 2547: 2544: 2542: 2539: 2538: 2531: 2529: 2512: 2509: 2507: 2502: 2501: 2494: 2491: 2474: 2471: 2469: 2466: 2463: 2462: 2459: 2456: 2439: 2436: 2434: 2431: 2428: 2427: 2420: 2418:At ≤ 0.25 mT 2417: 2400: 2397: 2395: 2392: 2389: 2388: 2379: 2376: 2359: 2357:350 – 20 000 2356: 2354: 2351: 2348: 2347: 2344: 2342: 2325: 2322: 2320: 2317: 2314: 2313: 2310: 2308: 2291: 2288: 2286: 2283: 2280: 2279: 2276: 2273: 2264: 2262:2000 - 38000 2261: 2259: 2257: 2254: 2253: 2250: 2248: 2239: 2234: 2232: 2230:(99.8% pure) 2229: 2226: 2225: 2222: 2220: 2211: 2203: 2201: 2196: 2195: 2192: 2189: 2180: 2172: 2170: 2168: 2165: 2164: 2161: 2159: 2150: 2142: 2140: 2138: 2135: 2134: 2130: 2127: 2118: 2110: 2108: 2106: 2103: 2102: 2099: 2096: 2087: 2079: 2077: 2075: 2072: 2071: 2068: 2066: 2057: 2049: 2047: 2044: 2041: 2040: 2037:100 kHz 2036: 2033: 2024: 2013: 2011: 2008: 2005: 2004: 2001: 1999: 1984: 1981: 1978: 1976: 1973: 1972: 1965: 1960: 1957: 1952: 1947: 1943: 1929: 1923: 1920: 1919: 1913: 1883: 1870: 1862: 1858: 1852: 1847: 1840: 1833: 1829: 1821: 1817: 1813: 1806: 1799: 1795: 1791: 1788: 1781: 1777: 1770: 1765: 1763: 1755: 1736: 1735: 1734: 1732: 1725:Gyromagnetism 1722: 1719: 1715: 1711: 1707: 1703: 1699: 1694: 1692: 1688: 1684: 1681:is a form of 1680: 1679:Paramagnetism 1675: 1674:Paramagnetism 1668:Paramagnetism 1665: 1663: 1659: 1654: 1649: 1645: 1641: 1636: 1632: 1627: 1617: 1615: 1611: 1604: 1600: 1596: 1595:magnetic mass 1589: 1585: 1581: 1577: 1570: 1551: 1548: 1543: 1539: 1535: 1530: 1526: 1518: 1517: 1516: 1514: 1510: 1490: 1485: 1481: 1457: 1450: 1446: 1442: 1437: 1426: 1418: 1417: 1416: 1411: 1387: 1372: 1370: 1348: 1342: 1339: 1335: 1331: 1326: 1323: 1318: 1314: 1309: 1305: 1292: 1288: 1285: 1284:magnetization 1281: 1277: 1270: 1266: 1262: 1257: 1255: 1251: 1223: 1220: 1205: 1204: 1203: 1201: 1197: 1193: 1189: 1185: 1181: 1177: 1173: 1169: 1165: 1160: 1158: 1154: 1150: 1146: 1142: 1135: 1131: 1127: 1102: 1099: 1087: 1086: 1085: 1083: 1079: 1071: 1067: 1063: 1059: 1055: 1051: 1048: 1044: 1041: 1037: 1033: 1029: 1025: 1022: 1018: 1017: 1016: 1014: 1010: 1000: 998: 997:dimensionless 995:, which is a 994: 989: 987: 983: 976: 972: 968: 964: 960: 956: 951: 949: 945: 941: 937: 921: 901: 881: 874: 870: 869: 864: 860: 859:magnetization 856: 852: 840: 835: 833: 828: 826: 821: 820: 818: 817: 810: 807: 805: 802: 800: 797: 795: 792: 790: 787: 785: 782: 780: 777: 775: 772: 770: 767: 765: 762: 760: 757: 755: 752: 750: 747: 745: 742: 740: 737: 735: 732: 730: 727: 725: 722: 720: 717: 715: 712: 710: 707: 705: 702: 700: 697: 695: 692: 690: 687: 685: 682: 680: 677: 675: 672: 670: 667: 665: 662: 660: 657: 655: 652: 650: 647: 645: 642: 640: 637: 635: 632: 631: 625: 624: 617: 614: 612: 609: 607: 604: 602: 599: 597: 594: 592: 589: 587: 584: 582: 579: 578: 575: 570: 569: 562: 559: 557: 554: 552: 549: 547: 544: 542: 539: 537: 534: 532: 529: 527: 524: 522: 519: 517: 514: 512: 509: 507: 504: 502: 499: 497: 494: 493: 490: 485: 484: 477: 474: 472: 469: 467: 464: 462: 459: 457: 454: 452: 449: 447: 444: 442: 439: 437: 434: 432: 431:Joule heating 429: 427: 424: 422: 419: 417: 414: 412: 409: 407: 404: 402: 399: 397: 394: 392: 389: 387: 384: 383: 380: 375: 374: 367: 364: 362: 359: 357: 354: 352: 349: 347: 346:Lorentz force 344: 342: 339: 337: 334: 332: 329: 327: 324: 322: 319: 317: 314: 312: 309: 307: 304: 302: 299: 297: 294: 292: 289: 287: 284: 282: 279: 277: 274: 273: 270: 265: 264: 257: 254: 252: 249: 247: 246:Magnetization 244: 242: 239: 237: 234: 232: 231:Magnetic flux 229: 227: 224: 222: 219: 217: 214: 212: 209: 207: 204: 203: 200: 195: 194: 187: 184: 182: 179: 177: 174: 172: 169: 167: 164: 162: 159: 157: 154: 152: 149: 147: 144: 142: 139: 137: 136:Electric flux 134: 132: 129: 127: 124: 122: 119: 117: 114: 112: 109: 107: 104: 102: 99: 98: 95: 90: 89: 84: 81: 79: 76: 74: 73:Computational 71: 69: 66: 64: 61: 59: 56: 54: 51: 50: 49: 48: 44: 40: 39: 36: 33: 32: 28: 27: 22: 4686: 4681: 4663: 4652:. Retrieved 4641: 4632: 4621:. Retrieved 4583: 4576: 4558: 4547:. Retrieved 4543: 4534: 4523:. Retrieved 4519: 4510: 4498: 4487:. Retrieved 4483: 4474: 4462: 4450: 4438: 4426: 4414: 4402: 4390: 4378: 4344: 4333:. Retrieved 4324: 4313:. Retrieved 4306:the original 4296: 4289: 4278:. Retrieved 4272:Hyperphysics 4271: 4246:. Retrieved 4236: 4225:. Retrieved 4216: 4209: 4189: 4182: 4171:. Retrieved 4164: 4143:. Retrieved 4139:the original 4132: 4125: 4116: 4104: 4067: 4063: 4057: 4041: 4022: 4001: 3984:cold working 3978: 3959:Permittivity 3934:Diamagnetism 3918: 3853:loss tangent 3850: 3705: 3702: 3538: 3475: 3372:, such that 3366: 3353: 3345: 3343: 3336: 2719:Carbon steel 2289:1000 – 1800 2197:Cobalt-iron 2131:10 kHz 1955: 1945: 1941: 1927: 1910: 1728: 1717: 1713: 1706:ferromagnets 1701: 1697: 1695: 1678: 1677: 1655: 1647: 1631:Diamagnetism 1630: 1629: 1626:Diamagnetism 1620:Diamagnetism 1613: 1609: 1602: 1598: 1594: 1587: 1583: 1579: 1568: 1566: 1472: 1409: 1378: 1290: 1286: 1279: 1275: 1268: 1264: 1258: 1253: 1249: 1247: 1199: 1195: 1191: 1187: 1183: 1171: 1167: 1161: 1152: 1148: 1140: 1133: 1125: 1123: 1081: 1077: 1075: 1061: 1056:and causing 1049: 1035: 1023: 1006: 990: 974: 952: 940:permittivity 867: 855:permeability 854: 848: 591:Four-current 526:Linear motor 411:Electrolysis 291:Eddy current 251:Permeability 250: 171:Polarization 166:Permittivity 21:permittivity 2783:(hardened) 2773:At 0.002 T 2739:At 0.002 T 2707:At 0.001 T 2636:At 0.001 T 2565:At 0.001 T 2492:At 0.001 T 2457:At 0.25 mT 2377:At 0.25 mT 2318:(annealed) 2284:(annealed) 2190:At 0.002 T 2097:At 0.002 T 1982:1, exactly 1966:Frequency, 1567:The number 1030:, and also 1003:Explanation 561:Transformer 391:Capacitance 316:Faraday law 111:Coulomb law 53:Electricity 4734:Categories 4723:RF Cafe's 4654:2011-11-08 4623:2011-11-08 4549:2019-08-17 4525:2019-08-18 4489:2019-08-17 4335:2022-12-09 4315:2013-08-03 4280:2011-11-08 4248:2011-11-08 4227:2011-11-08 4173:2013-12-01 4145:2011-11-08 3993:References 2753:100 – 600 2437:350 – 500 2398:10 – 2300 2323:750 – 950 1646:less than 1614:molar mass 1580:volumetric 628:Scientists 476:Waveguides 456:Resistance 426:Inductance 206:Ampère law 4650:. Ndt.net 4646:NDT.net. 3895:μ 3887:μ 3875:δ 3869:⁡ 3829:μ 3822:− 3815:μ 3805:δ 3799:⁡ 3766:− 3760:δ 3754:⁡ 3721:μ 3683:δ 3677:− 3634:ω 3604:δ 3601:− 3595:ω 3550:μ 3484:δ 3454:δ 3451:− 3445:ω 3407:ω 2616:14 – 100 2581:14 – 160 2545:14 – 160 2510:14 – 550 2472:40 – 125 2128:At 0.5 T 2105:NANOPERM® 2074:Permalloy 2034:At 0.5 T 1961:Magnetic 1884:ω 1859:μ 1830:μ 1818:μ 1796:μ 1789:− 1778:μ 1756:ω 1683:magnetism 1658:magnetism 1549:− 1540:μ 1527:χ 1491:≈ 1482:μ 1447:μ 1443:μ 1427:μ 1388:μ 1340:− 1336:μ 1332:− 1324:− 1315:μ 1248:assuming 1227:Δ 1224:μ 1213:Δ 1103:μ 784:Steinmetz 714:Kirchhoff 699:Jefimenko 694:Hopkinson 679:Helmholtz 674:Heaviside 536:Permeance 421:Impedance 161:Insulator 156:Gauss law 106:Conductor 83:Phenomena 78:Textbooks 58:Magnetism 4217:Magnetec 3923:See also 3898:′ 3890:″ 3832:″ 3818:′ 3110:Sapphire 3043:Hydrogen 3024:Concrete 2906:Aluminum 2873:Platinum 2788:40 – 95 2652:19 – 90 2167:Mu-metal 2137:Mu-metal 1599:specific 809:Wiechert 764:Poynting 654:Einstein 501:DC motor 496:AC motor 331:Lenz law 116:Electret 4133:Metglas 4072:Bibcode 3370:phasors 3357:complex 3346:passive 3337:A good 3242:Bismuth 2711:approx. 2687:4 – 35 2675:approx. 2640:approx. 2604:approx. 2569:approx. 2533:approx. 2496:approx. 2465:Ferrite 2430:Ferrite 2422:approx. 2391:Ferrite 2382:approx. 2350:Ferrite 2007:Metglas 1921:Medium 1718:induced 1293:field: 1259:In the 1042:/meter. 1040:amperes 1007:In the 967:newtons 959:henries 794:Thomson 769:Ritchie 759:Poisson 744:Neumann 739:Maxwell 734:Lorentz 729:Liénard 659:Faraday 644:Coulomb 471:Voltage 446:Ohm law 68:History 4591:  4197:  4029:  3476:where 3289:0.9996 3153:Copper 3095:1.2567 3090:1.0000 3083:Teflon 3026:(dry) 2747:Nickel 1975:Vacuum 1963:field 1958:(H/m) 1698:linear 1473:where 1157:tensor 1070:teslas 986:vacuum 971:ampere 779:Singer 774:Savart 754:Ørsted 719:Larmor 709:Kelvin 664:Fizeau 634:Ampère 556:Stator 63:Optics 4673:(PDF) 4568:(PDF) 4309:(PDF) 4302:(PDF) 4222:(PDF) 3970:Notes 3516:from 3294:1.256 3264:1.256 3256:0.999 3247:−1.66 3224:1.256 3216:0.999 3202:Water 3184:1.256 3176:0.999 3135:1.256 3124:0.999 3065:1.256 3057:1.000 3003:1.256 2992:1.000 2964:1.256 2953:1.000 2928:1.256 2920:1.000 2888:1.256 2880:1.000 2854:1.05 2825:1.260 1986:1.256 1610:molar 1574:is a 1145:henry 963:meter 804:Weber 799:Volta 789:Tesla 704:Joule 689:Hertz 684:Henry 669:Gauss 551:Rotor 4589:ISBN 4195:ISBN 4165:Iron 4050:BIPM 4027:ISBN 3344:For 3207:−8.0 3167:−9.2 3158:−6.4 3137:6368 3115:−2.1 3067:6371 3059:0000 3048:−2.2 2946:Wood 2911:2.22 2858:1.32 2765:7.54 2757:1.26 2731:1.26 2691:5.03 2664:1.13 2656:2.39 2628:1.26 2620:1.76 2593:2.01 2585:1.76 2557:2.01 2549:1.76 2522:6.91 2514:1.76 2484:1.57 2476:5.03 2449:6.28 2410:2.89 2402:1.26 2369:2.51 2335:1.19 2327:9.42 2301:2.26 2293:1.26 2236:5000 2228:Iron 2089:1.25 2043:Iron 2026:1.26 1968:max. 1938:max. 1702:weak 1584:bulk 1252:and 1202:as: 1194:and 1186:and 1170:and 1080:and 1066:volt 1064:are 1045:the 1038:are 1019:the 969:per 961:per 724:Lenz 649:Davy 639:Biot 4080:doi 3866:tan 3796:sin 3751:cos 3706:By 3313:−1 3258:834 3226:627 3218:992 3186:629 3178:994 3164:or 3126:999 3005:637 2994:000 2985:Air 2966:637 2955:000 2930:665 2922:022 2890:970 2882:265 2833:8.8 2800:1.2 2792:5.0 2726:100 2699:4.4 2441:4.4 2361:4.4 2266:5.0 2241:6.3 2213:2.3 2207:000 2182:2.5 2176:000 2152:6.3 2146:000 2120:1.0 2114:000 2083:000 2081:100 2059:2.5 2053:000 2051:200 2020:000 2017:000 1991:061 1988:637 1693:). 1687:one 1612:or 1597:or 1582:or 1515:is 953:In 942:by 849:In 749:Ohm 4736:: 4603:^ 4542:. 4518:. 4482:. 4356:^ 4257:^ 4154:^ 4092:^ 4078:. 4068:24 4066:. 4013:^ 3855:, 3536:. 3319:0 3316:0 3298:10 3271:10 3266:43 3251:10 3231:10 3211:10 3191:10 3171:10 3162:10 3142:10 3129:76 3119:10 3099:10 3072:10 3052:10 3031:1 3013:10 3008:53 2997:37 2974:10 2969:60 2958:43 2935:10 2915:10 2895:10 2862:10 2837:10 2831:– 2829:10 2804:10 2798:– 2796:10 2769:10 2763:– 2761:10 2735:10 2703:10 2697:– 2695:10 2668:10 2662:– 2660:10 2632:10 2626:– 2624:10 2597:10 2591:– 2589:10 2561:10 2555:– 2553:10 2526:10 2520:– 2518:10 2488:10 2482:– 2480:10 2453:10 2447:– 2445:10 2414:10 2408:– 2406:10 2373:10 2367:– 2365:10 2339:10 2333:– 2331:10 2305:10 2299:– 2297:10 2270:10 2245:10 2217:10 2205:18 2186:10 2174:20 2156:10 2144:50 2124:10 2112:80 2093:10 2063:10 2030:10 1996:10 1979:0 1940:, 1552:1. 1415:: 1371:. 1159:. 1072:). 1015:: 988:. 955:SI 950:. 853:, 4657:. 4626:. 4597:. 4552:. 4528:. 4492:. 4338:. 4318:. 4299:" 4283:. 4274:" 4251:. 4230:. 4219:" 4203:. 4176:. 4167:" 4148:. 4135:" 4086:. 4082:: 4074:: 4052:. 4035:. 3904:, 3881:= 3878:) 3872:( 3836:. 3825:j 3811:= 3808:) 3802:( 3789:0 3785:H 3779:0 3775:B 3769:j 3763:) 3757:( 3744:0 3740:H 3734:0 3730:B 3724:= 3688:, 3680:j 3673:e 3665:0 3661:H 3655:0 3651:B 3645:= 3637:t 3631:j 3627:e 3621:0 3617:H 3608:) 3598:t 3591:( 3587:j 3583:e 3577:0 3573:B 3566:= 3561:H 3558:B 3553:= 3524:H 3504:B 3458:) 3448:t 3441:( 3437:j 3433:e 3427:0 3423:B 3419:= 3416:B 3410:t 3404:j 3400:e 3394:0 3390:H 3386:= 3383:H 3296:× 3269:× 3249:× 3229:× 3209:× 3189:× 3169:× 3160:× 3140:× 3117:× 3097:× 3070:× 3050:× 3011:× 2972:× 2933:× 2913:× 2893:× 2860:× 2835:× 2827:× 2802:× 2794:× 2767:× 2759:× 2733:× 2701:× 2693:× 2666:× 2658:× 2630:× 2622:× 2595:× 2587:× 2559:× 2551:× 2524:× 2516:× 2486:× 2478:× 2451:× 2443:× 2412:× 2404:× 2371:× 2363:× 2337:× 2329:× 2303:× 2295:× 2268:× 2243:× 2215:× 2184:× 2154:× 2122:× 2091:× 2061:× 2028:× 2015:1 1994:× 1956:μ 1949:0 1946:μ 1944:/ 1942:μ 1931:m 1928:χ 1887:) 1881:( 1877:H 1871:| 1863:z 1853:0 1848:0 1841:0 1834:1 1822:2 1814:i 1807:0 1800:2 1792:i 1782:1 1771:| 1766:= 1759:) 1753:( 1749:B 1651:0 1648:μ 1608:( 1606:M 1603:χ 1593:( 1591:p 1588:χ 1572:m 1569:χ 1544:r 1536:= 1531:m 1505:π 1503:4 1486:0 1458:, 1451:0 1438:= 1432:r 1413:0 1410:μ 1393:r 1354:B 1349:) 1343:1 1327:1 1319:0 1310:( 1306:= 1302:M 1291:B 1287:M 1280:μ 1276:B 1272:0 1269:μ 1265:H 1254:H 1250:B 1244:. 1231:H 1221:= 1217:B 1196:H 1192:B 1188:H 1184:B 1172:B 1168:H 1153:μ 1149:μ 1141:μ 1137:0 1134:μ 1126:μ 1120:, 1107:H 1100:= 1096:B 1082:B 1078:H 1062:B 1050:B 1036:H 1024:H 978:0 975:μ 922:H 902:H 882:B 868:μ 838:e 831:t 824:v 23:.

Index

permittivity
Electromagnetism
Solenoid
Electricity
Magnetism
Optics
History
Computational
Textbooks
Phenomena
Electrostatics
Charge density
Conductor
Coulomb law
Electret
Electric charge
Electric dipole
Electric field
Electric flux
Electric potential
Electrostatic discharge
Electrostatic induction
Gauss law
Insulator
Permittivity
Polarization
Potential energy
Static electricity
Triboelectricity
Magnetostatics

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