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Wien bridge

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At the time of the Wien bridge's invention, bridge circuits were a common way of measuring component values by comparing them to known values. Often an unknown component would be put in one arm of a bridge, and then the bridge would be nulled by adjusting the other arms or changing the frequency of
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The Wien bridge is one of many common bridges. Wien's bridge is used for precision measurement of capacitance in terms of resistance and frequency. It was also used to measure audio frequencies.
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will never be exactly equal, but the equations above show that for fixed values in the
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https://web.archive.org/web/20120223142737/http://www.ecelab.com/wien-bridge.htm
297:{\displaystyle {C_{x} \over C_{2}}={R_{4} \over R_{3}}-{R_{2} \over R_{x}}\,.} 537: 49: 472: 16: 714: 507: 45: 41: 473:"The Measurement of Capacitance in Terms of Resistance and Frequency" 511: 555: 120:
arms are adjusted to the same ratio, then the bridge is balanced.
15: 559: 198:{\displaystyle \omega ^{2}={1 \over R_{x}R_{2}C_{x}C_{2}}} 211: 132: 702: 676: 635: 614: 593: 296: 197: 74:. At some frequency, the reactance of the series 66:The Wien bridge does not require equal values of 448: 471:Ferguson, J. G.; Bartlett, B. W. (July 1928), 571: 8: 88:arm will be an exact multiple of the shunt 578: 564: 556: 56:the voltage source. See, for example, the 290: 282: 272: 266: 255: 245: 239: 228: 218: 212: 210: 186: 176: 166: 156: 146: 137: 131: 414: 459: 444: 432: 370:arms, the bridge will balance at some 307:The equations simplify if one chooses 44:in 1891. The bridge consists of four 7: 421: 24:- sinusoidal power supply voltage, U 489:10.1002/j.1538-7305.1928.tb01234.x 398:Total harmonic distortion analyzer 14: 1: 517:Annalen der Physik und Chemie 477:Bell System Technical Journal 123:The bridge is balanced when: 668:Transformer ratio arm bridge 615:Resistance–Capacitance 449:Ferguson & Bartlett 1928 354:In practice, the values of 757: 500:Radio Engineers' Handbook 538:10.1002/andp.18912801208 20:Wien bridge schematic, U 741:Impedance measurements 403:Wien bridge oscillator 298: 199: 40:that was developed by 29: 524:(12): 689–712, 447:, p. 904 citing 299: 200: 19: 483:(3): 420–437, 209: 130: 648:Carey Foster bridge 530:1891AnP...280..689W 663:Murray loop bridge 374:and some ratio of 294: 195: 30: 28:- measured voltage 723: 722: 689:Anderson's bridge 643:Bridged T circuit 606:Wheatstone bridge 496:Terman, Frederick 288: 261: 234: 193: 58:Wheatstone bridge 748: 580: 573: 566: 557: 540: 503: 491: 463: 457: 451: 442: 436: 430: 424: 419: 337:; the result is 303: 301: 300: 295: 289: 287: 286: 277: 276: 267: 262: 260: 259: 250: 249: 240: 235: 233: 232: 223: 222: 213: 204: 202: 201: 196: 194: 192: 191: 190: 181: 180: 171: 170: 161: 160: 147: 142: 141: 106:arm. If the two 756: 755: 751: 750: 749: 747: 746: 745: 736:Bridge circuits 726: 725: 724: 719: 698: 672: 631: 622:Schering bridge 610: 589: 587:Bridge circuits 584: 547: 506: 494: 470: 467: 466: 458: 454: 443: 439: 431: 427: 420: 416: 411: 394: 387: 380: 350: 343: 336: 329: 322: 313: 278: 268: 251: 241: 224: 214: 207: 206: 182: 172: 162: 152: 151: 133: 128: 127: 119: 112: 105: 96: 87: 80: 27: 23: 12: 11: 5: 754: 752: 744: 743: 738: 728: 727: 721: 720: 718: 717: 712: 706: 704: 700: 699: 697: 696: 691: 686: 684:Maxwell bridge 680: 678: 674: 673: 671: 670: 665: 660: 658:Lattice filter 655: 653:Fontana bridge 650: 645: 639: 637: 633: 632: 630: 629: 624: 618: 616: 612: 611: 609: 608: 603: 597: 595: 591: 590: 585: 583: 582: 575: 568: 560: 554: 553: 546: 545:External links 543: 542: 541: 504: 492: 465: 464: 452: 437: 425: 413: 412: 410: 407: 406: 405: 400: 393: 390: 385: 378: 348: 341: 334: 327: 318: 311: 305: 304: 293: 285: 281: 275: 271: 265: 258: 254: 248: 244: 238: 231: 227: 221: 217: 189: 185: 179: 175: 169: 165: 159: 155: 150: 145: 140: 136: 117: 110: 101: 92: 85: 78: 38:bridge circuit 25: 21: 13: 10: 9: 6: 4: 3: 2: 753: 742: 739: 737: 734: 733: 731: 716: 713: 711: 708: 707: 705: 701: 695: 692: 690: 687: 685: 682: 681: 679: 675: 669: 666: 664: 661: 659: 656: 654: 651: 649: 646: 644: 641: 640: 638: 634: 628: 625: 623: 620: 619: 617: 613: 607: 604: 602: 601:Kelvin bridge 599: 598: 596: 592: 588: 581: 576: 574: 569: 567: 562: 561: 558: 552: 549: 548: 544: 539: 535: 531: 527: 523: 520:(in German), 519: 518: 513: 509: 505: 502:, McGraw-Hill 501: 497: 493: 490: 486: 482: 478: 474: 469: 468: 462:, p. 905 461: 456: 453: 450: 446: 441: 438: 435:, p. 904 434: 429: 426: 423: 418: 415: 408: 404: 401: 399: 396: 395: 391: 389: 384: 377: 373: 369: 365: 361: 357: 352: 347: 340: 333: 326: 321: 317: 310: 291: 283: 279: 273: 269: 263: 256: 252: 246: 242: 236: 229: 225: 219: 215: 187: 183: 177: 173: 167: 163: 157: 153: 148: 143: 138: 134: 126: 125: 124: 121: 116: 109: 104: 100: 95: 91: 84: 77: 73: 69: 64: 61: 59: 53: 51: 47: 43: 39: 36:is a type of 35: 18: 710:Diode bridge 694:Hay's bridge 626: 521: 515: 499: 480: 476: 455: 440: 428: 417: 382: 375: 371: 367: 363: 359: 355: 353: 345: 338: 331: 324: 319: 315: 308: 306: 122: 114: 107: 102: 98: 93: 89: 82: 75: 71: 67: 65: 62: 54: 33: 31: 627:Wien bridge 460:Terman 1943 445:Terman 1943 433:Terman 1943 34:Wien bridge 730:Categories 677:Inductance 594:Resistance 409:References 50:capacitors 422:Wien 1891 264:− 135:ω 46:resistors 715:H-bridge 510:(1891), 508:Wien, M. 498:(1943), 392:See also 48:and two 42:Max Wien 636:General 526:Bibcode 97:– 81:– 372:ω 703:Other 366:and 358:and 323:and 205:and 113:and 32:The 534:doi 522:280 485:doi 344:= 2 70:or 732:: 532:, 514:, 479:, 475:, 388:. 351:. 330:= 314:= 60:. 52:. 26:wy 22:we 579:e 572:t 565:v 536:: 528:: 487:: 481:7 386:3 383:R 381:/ 379:4 376:R 368:x 364:2 360:C 356:R 349:3 346:R 342:4 339:R 335:x 332:C 328:2 325:C 320:x 316:R 312:2 309:R 292:. 284:x 280:R 274:2 270:R 257:3 253:R 247:4 243:R 237:= 230:2 226:C 220:x 216:C 188:2 184:C 178:x 174:C 168:2 164:R 158:x 154:R 149:1 144:= 139:2 118:4 115:R 111:3 108:R 103:x 99:C 94:x 90:R 86:2 83:C 79:2 76:R 72:C 68:R

Index


bridge circuit
Max Wien
resistors
capacitors
Wheatstone bridge
Total harmonic distortion analyzer
Wien bridge oscillator
Wien 1891
Terman 1943
Terman 1943
Ferguson & Bartlett 1928
Terman 1943
"The Measurement of Capacitance in Terms of Resistance and Frequency"
doi
10.1002/j.1538-7305.1928.tb01234.x
Terman, Frederick
Wien, M.
"Messung der Inductionsconstanten mit dem "optischen Telephon" (Measurement of Inductive Constants with the "Optical Telephone")"
Annalen der Physik und Chemie
Bibcode
1891AnP...280..689W
doi
10.1002/andp.18912801208
https://web.archive.org/web/20120223142737/http://www.ecelab.com/wien-bridge.htm
v
t
e
Bridge circuits
Kelvin bridge

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