Knowledge (XXG)

Characteristic admittance

Source 📝

17: 532: 277: 193: 131: 433: 68: 575: 555: 407: 381: 355: 329: 303: 678: 453: 212: 649: 630: 608: 673: 586: 203: 358: 306: 136: 668: 444: 77: 36: 645: 626: 604: 436: 21: 16: 418: 46: 618: 560: 540: 410: 392: 366: 340: 314: 288: 206:. The general expression for the characteristic admittance of a transmission line is: 662: 384: 332: 29: 527:{\displaystyle {\frac {I^{+}}{V^{+}}}=Y_{0}=-{\frac {I^{-}}{V^{-}}}} 272:{\displaystyle Y_{0}={\sqrt {\frac {G+j\omega C}{R+j\omega L}}}} 577:
represent forward- and backward-traveling waves, respectively.
447:
on the line are related by the characteristic admittance as:
43:
between the wires (bottom voltage minus top voltage). If
563: 543: 456: 421: 395: 369: 343: 317: 291: 215: 139: 80: 49: 569: 549: 526: 427: 401: 375: 349: 323: 297: 271: 187: 125: 62: 8: 35:traveling through each wire, and there is a 24:is drawn as two black wires. At a distance 562: 542: 516: 506: 500: 488: 473: 463: 457: 455: 420: 394: 368: 342: 316: 290: 229: 220: 214: 179: 152: 138: 117: 93: 79: 54: 48: 642:Fundamentals Of Applied Electromagnetics 15: 7: 202:is the mathematical inverse of the 361:of the dielectric per unit length, 14: 644:(media ed.). Prentice Hall. 188:{\displaystyle I(x)/V(x)=-Y_{0}} 133:for a wave moving rightward, or 28:into the line, there is current 126:{\displaystyle I(x)/V(x)=Y_{0}} 166: 160: 149: 143: 107: 101: 90: 84: 1: 679:Distributed element circuits 195:for a wave moving leftward. 695: 200:Characteristic admittance 72:characteristic admittance 601:Electrical Power Systems 587:Characteristic impedance 443:The current and voltage 204:characteristic impedance 537:where the superscripts 428:{\displaystyle \omega } 571: 551: 528: 429: 403: 377: 351: 325: 299: 273: 196: 189: 127: 64: 640:Ulaby, F. T. (2004). 623:Microwave Engineering 599:Guile, A. E. (1977). 572: 552: 529: 430: 404: 378: 352: 326: 300: 274: 190: 128: 65: 63:{\displaystyle Y_{0}} 19: 561: 541: 454: 419: 393: 367: 341: 315: 289: 213: 137: 78: 47: 674:Physical quantities 567: 547: 524: 425: 399: 373: 347: 321: 295: 269: 197: 185: 123: 74:of the line, then 60: 37:voltage difference 621:(February 2004). 570:{\displaystyle -} 550:{\displaystyle +} 522: 479: 437:angular frequency 402:{\displaystyle j} 376:{\displaystyle C} 350:{\displaystyle G} 324:{\displaystyle L} 298:{\displaystyle R} 267: 266: 22:transmission line 686: 655: 636: 625:(3rd ed.). 614: 576: 574: 573: 568: 556: 554: 553: 548: 533: 531: 530: 525: 523: 521: 520: 511: 510: 501: 493: 492: 480: 478: 477: 468: 467: 458: 434: 432: 431: 426: 408: 406: 405: 400: 387:per unit length, 382: 380: 379: 374: 356: 354: 353: 348: 335:per unit length, 330: 328: 327: 322: 309:per unit length, 304: 302: 301: 296: 278: 276: 275: 270: 268: 265: 248: 231: 230: 225: 224: 194: 192: 191: 186: 184: 183: 156: 132: 130: 129: 124: 122: 121: 97: 69: 67: 66: 61: 59: 58: 694: 693: 689: 688: 687: 685: 684: 683: 659: 658: 652: 639: 633: 617: 611: 598: 595: 583: 559: 558: 539: 538: 512: 502: 484: 469: 459: 452: 451: 417: 416: 391: 390: 365: 364: 339: 338: 313: 312: 287: 286: 249: 232: 216: 211: 210: 175: 135: 134: 113: 76: 75: 50: 45: 44: 12: 11: 5: 692: 690: 682: 681: 676: 671: 661: 660: 657: 656: 650: 637: 631: 615: 609: 594: 591: 590: 589: 582: 579: 566: 546: 535: 534: 519: 515: 509: 505: 499: 496: 491: 487: 483: 476: 472: 466: 462: 441: 440: 424: 414: 411:imaginary unit 398: 388: 372: 362: 346: 336: 320: 310: 294: 280: 279: 264: 261: 258: 255: 252: 247: 244: 241: 238: 235: 228: 223: 219: 182: 178: 174: 171: 168: 165: 162: 159: 155: 151: 148: 145: 142: 120: 116: 112: 109: 106: 103: 100: 96: 92: 89: 86: 83: 57: 53: 13: 10: 9: 6: 4: 3: 2: 691: 680: 677: 675: 672: 670: 667: 666: 664: 653: 651:0-13-185089-X 647: 643: 638: 634: 632:0-471-44878-8 628: 624: 620: 616: 612: 610:0-08-021729-X 606: 602: 597: 596: 592: 588: 585: 584: 580: 578: 564: 544: 517: 513: 507: 503: 497: 494: 489: 485: 481: 474: 470: 464: 460: 450: 449: 448: 446: 438: 422: 415: 412: 396: 389: 386: 370: 363: 360: 344: 337: 334: 318: 311: 308: 292: 285: 284: 283: 262: 259: 256: 253: 250: 245: 242: 239: 236: 233: 226: 221: 217: 209: 208: 207: 205: 201: 180: 176: 172: 169: 163: 157: 153: 146: 140: 118: 114: 110: 104: 98: 94: 87: 81: 73: 55: 51: 42: 38: 34: 31: 27: 23: 18: 641: 622: 619:Pozar, D. M. 600: 536: 442: 281: 199: 198: 71: 40: 32: 25: 669:Electricity 385:capacitance 359:conductance 663:Categories 593:References 333:inductance 307:resistance 565:− 518:− 508:− 498:− 423:ω 260:ω 243:ω 173:− 581:See also 445:phasors 435:is the 409:is the 383:is the 357:is the 331:is the 305:is the 70:is the 39:phasor 648:  629:  607:  282:where 30:phasor 413:, and 646:ISBN 627:ISBN 605:ISBN 557:and 41:V(x) 33:I(x) 665:: 603:. 20:A 654:. 635:. 613:. 545:+ 514:V 504:I 495:= 490:0 486:Y 482:= 475:+ 471:V 465:+ 461:I 439:. 397:j 371:C 345:G 319:L 293:R 263:L 257:j 254:+ 251:R 246:C 240:j 237:+ 234:G 227:= 222:0 218:Y 181:0 177:Y 170:= 167:) 164:x 161:( 158:V 154:/ 150:) 147:x 144:( 141:I 119:0 115:Y 111:= 108:) 105:x 102:( 99:V 95:/ 91:) 88:x 85:( 82:I 56:0 52:Y 26:x

Index


transmission line
phasor
voltage difference
characteristic impedance
resistance
inductance
conductance
capacitance
imaginary unit
angular frequency
phasors
Characteristic impedance
ISBN
0-08-021729-X
Pozar, D. M.
ISBN
0-471-44878-8
ISBN
0-13-185089-X
Categories
Electricity
Physical quantities
Distributed element circuits

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