Knowledge

Trouton–Rankine experiment

Source 📝

112: 148:
length of the coils depended on their angle with respect to their Aether velocity. Trouton and Rankine therefore believed that the resistance as measured in the rest frame of the experiment should change as the device was rotated. However their careful measurements showed no detectable change in resistance.
147:
configuration which allowed them to precisely measure any change in resistance. The circuit was then rotated 90 degrees about its axis as the resistance was measured. Because the Lorentz–FitzGerald contraction is only in the direction of motion, from the point of view of the "Aether frame" the
134:
in 1903), instead did the calculations using his own interpretation of electrodynamics, calculating the length contraction according to the velocity of the experimental apparatus in the aether frame, but calculating the electrodynamics by applying Maxwell's equations and
143:, he set out to verify this in 1908 by attempting to measure the change of the resistance of a coil as it changed its orientation to the "aether velocity" (the velocity of the lab through the luminiferous aether). This was done by putting four identical coils in a 51:
as well), according to which observers at rest in a certain inertial reference frame, cannot measure their own translational motion by instruments at rest in the same frame. Consequently, also length contraction cannot be measured by co-moving observers. See also
139:
in the lab frame. According to Trouton's view of electrodynamics, the calculations then predicted a measurable effect of the length contraction in the lab frame. Together with
84:) that would explain the almost null result of the Michelson–Morley experiment. The first attempts to measure some consequences of this contraction in the lab frame (the 151:
This showed that if the Lorentz–FitzGerald contraction existed, it was not measurable in the rest frame of the object – only theories containing the complete
293: 460: 116: 101: 21: 80:, independently of each other, proposed a length contraction of the experimental apparatus in the direction of motion (with respect to the 507: 424: 326: 486: 455: 286: 331: 392: 429: 387: 362: 554: 502: 279: 528: 397: 377: 89: 336: 321: 439: 316: 65: 346: 92:(1902, 1904), though the result was negative. By 1908, however, the then-current theories of electrodynamics, 434: 168: 419: 372: 367: 265: 131: 302: 85: 53: 73: 559: 533: 140: 127: 37: 33: 28:) produced a measurable effect in the rest frame of the object, so that the ether would act as a " 44: 523: 152: 105: 201: 93: 8: 266:
Electromagnetic phenomena in a system moving with any velocity smaller than that of light
81: 69: 25: 205: 411: 259: 219: 156: 97: 48: 476: 341: 144: 120: 111: 237:
Laub, Jakob (1910). "Über die experimentellen Grundlagen des Relativitätsprinzips".
209: 104:
is not measurable in a co-moving frame, because these theories were based on the
77: 29: 271: 115:
In the Trouton–Rankine experiment, it was expected that length changes due to
548: 481: 407: 100:(now generally accepted, and lacking any aether at all), predicted that the 214: 189: 136: 88:
of an observer co-moving with the experimental apparatus) were made in the
43:
The outcome of the experiment was negative, which is in agreement with the
223: 119:
would result in detectable changes in the measured voltage across a
187: 24:
of an object according to one frame (as defined by the
546: 301: 190:"On the electrical resistance of moving matter" 287: 20:was an experiment designed to measure if the 236: 294: 280: 239:Jahrbuch der Radioaktivität und Elektronik 32:". The experiment was first performed by 456:Tests of relativistic energy and momentum 213: 110: 393:Lorentz-violating neutrino oscillations 260:On the Electrodynamics of Moving Bodies 547: 68:of 1887 showed that the then-accepted 461:Kaufmann–Bucherer–Neumann experiments 430:Experimental testing of time dilation 388:Antimatter tests of Lorentz violation 363:Modern searches for Lorentz violation 275: 529:Test theories of special relativity 13: 188:Trouton F. T., Rankine A. (1908). 14: 571: 487:Michelson–Gale–Pearson experiment 398:Lorentz-violating electrodynamics 378:Experiments of Rayleigh and Brace 253: 90:Experiments of Rayleigh and Brace 440:Length contraction confirmations 337:de Sitter double star experiment 72:theory needed to be modified. 508:Refutations of emission theory 347:Measurements of neutrino speed 230: 181: 117:Lorentz–FitzGerald contraction 102:Lorentz–FitzGerald contraction 59: 22:Lorentz–FitzGerald contraction 1: 174: 169:History of special relativity 503:Refutations of aether theory 425:Moessbauer rotor experiments 327:Moessbauer rotor experiments 322:Kennedy–Thorndike experiment 7: 555:Tests of special relativity 317:Michelson–Morley experiment 303:Tests of special relativity 162: 86:inertial frame of reference 66:Michelson–Morley experiment 54:Tests of special relativity 10: 576: 383:Trouton–Rankine experiment 123:as the circuit is rotated. 18:Trouton–Rankine experiment 516: 495: 469: 448: 435:Hafele–Keating experiment 406: 355: 309: 534:Standard-Model Extension 420:Ives–Stilwell experiment 373:Trouton–Noble experiment 368:Hughes–Drever experiment 141:Alexander Oliver Rankine 132:Trouton–Noble experiment 130:, (after conducting the 128:Frederick Thomas Trouton 38:Alexander Oliver Rankine 34:Frederick Thomas Trouton 45:principle of relativity 524:One-way speed of light 215:10.1098/rspa.1908.0037 153:Lorentz transformation 124: 106:Lorentz transformation 332:Resonator experiments 262:Einstein's 1905 paper 114: 96:(now superseded) and 268:Lorentz's 1904 paper 94:Lorentz ether theory 449:Relativistic energy 206:1908RSPSA..80..420T 159:, are still valid. 82:luminiferous aether 26:luminiferous aether 412:Length contraction 356:Lorentz invariance 157:special relativity 125: 98:special relativity 49:special relativity 542: 541: 482:Sagnac experiment 477:Fizeau experiment 342:Hammar experiment 145:Wheatstone bridge 121:Wheatstone bridge 567: 296: 289: 282: 273: 272: 247: 246: 234: 228: 227: 217: 200:(420): 420–435. 185: 575: 574: 570: 569: 568: 566: 565: 564: 560:1908 in science 545: 544: 543: 538: 512: 491: 465: 444: 410: 402: 351: 305: 300: 256: 251: 250: 235: 231: 186: 182: 177: 165: 62: 30:preferred frame 12: 11: 5: 573: 563: 562: 557: 540: 539: 537: 536: 531: 526: 520: 518: 514: 513: 511: 510: 505: 499: 497: 493: 492: 490: 489: 484: 479: 473: 471: 467: 466: 464: 463: 458: 452: 450: 446: 445: 443: 442: 437: 432: 427: 422: 416: 414: 404: 403: 401: 400: 395: 390: 385: 380: 375: 370: 365: 359: 357: 353: 352: 350: 349: 344: 339: 334: 329: 324: 319: 313: 311: 310:Speed/isotropy 307: 306: 299: 298: 291: 284: 276: 270: 269: 263: 255: 254:External links 252: 249: 248: 229: 179: 178: 176: 173: 172: 171: 164: 161: 61: 58: 9: 6: 4: 3: 2: 572: 561: 558: 556: 553: 552: 550: 535: 532: 530: 527: 525: 522: 521: 519: 515: 509: 506: 504: 501: 500: 498: 494: 488: 485: 483: 480: 478: 475: 474: 472: 470:Fizeau/Sagnac 468: 462: 459: 457: 454: 453: 451: 447: 441: 438: 436: 433: 431: 428: 426: 423: 421: 418: 417: 415: 413: 409: 408:Time dilation 405: 399: 396: 394: 391: 389: 386: 384: 381: 379: 376: 374: 371: 369: 366: 364: 361: 360: 358: 354: 348: 345: 343: 340: 338: 335: 333: 330: 328: 325: 323: 320: 318: 315: 314: 312: 308: 304: 297: 292: 290: 285: 283: 278: 277: 274: 267: 264: 261: 258: 257: 244: 240: 233: 225: 221: 216: 211: 207: 203: 199: 195: 191: 184: 180: 170: 167: 166: 160: 158: 154: 149: 146: 142: 138: 133: 129: 122: 118: 113: 109: 107: 103: 99: 95: 91: 87: 83: 79: 75: 71: 67: 57: 55: 50: 46: 41: 39: 35: 31: 27: 23: 19: 496:Alternatives 382: 242: 238: 232: 197: 194:Proc. R. Soc 193: 183: 150: 126: 63: 42: 17: 15: 64:The famous 60:Description 549:Categories 245:: 460–461. 175:References 74:FitzGerald 47:(and thus 137:Ohm's law 40:in 1908. 224:19080525 163:See also 517:General 202:Bibcode 155:, like 78:Lorentz 222:  70:aether 220:JSTOR 76:and 36:and 16:The 210:doi 551:: 241:. 218:. 208:. 198:80 196:. 192:. 108:. 56:. 295:e 288:t 281:v 243:7 226:. 212:: 204::

Index

Lorentz–FitzGerald contraction
luminiferous aether
preferred frame
Frederick Thomas Trouton
Alexander Oliver Rankine
principle of relativity
special relativity
Tests of special relativity
Michelson–Morley experiment
aether
FitzGerald
Lorentz
luminiferous aether
inertial frame of reference
Experiments of Rayleigh and Brace
Lorentz ether theory
special relativity
Lorentz–FitzGerald contraction
Lorentz transformation

Lorentz–FitzGerald contraction
Wheatstone bridge
Frederick Thomas Trouton
Trouton–Noble experiment
Ohm's law
Alexander Oliver Rankine
Wheatstone bridge
Lorentz transformation
special relativity
History of special relativity

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.