Aufgabe 08-5
- Tom Liebing
Owned by Tom Liebing
Gegeben ist die untenstehende Schaltung mit einem idealen Operationsverstärker.Â
Die Eingangsspannung lautet ' aria-hidden='true'%3e %3cg transform='translate(167%2c0)'%3e %3cg transform='translate(-11%2c0)'%3e %3cg transform='translate(0%2c-50)'%3e %3cuse xlink:href='%23E1-MJMATHI-75' x='0' y='0'%3e%3c/use%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMATHI-65' x='809' y='-213'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMAIN-3D' x='1280' y='0'%3e%3c/use%3e %3cg transform='translate(2336%2c0)'%3e %3cuse xlink:href='%23E1-MJMATHI-55' x='0' y='0'%3e%3c/use%3e %3cg transform='translate(683%2c-150)'%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMATHI-65' x='0' y='0'%3e%3c/use%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMAIN-30' x='466' y='0'%3e%3c/use%3e %3c/g%3e %3c/g%3e %3cuse xlink:href='%23E1-MJMAIN-22C5' x='4025' y='0'%3e%3c/use%3e %3cg transform='translate(4526%2c0)'%3e %3cuse xlink:href='%23E1-MJMAIN-63'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMAIN-6F' x='444' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMAIN-73' x='945' y='0'%3e%3c/use%3e %3c/g%3e %3cuse xlink:href='%23E1-MJMATHI-3C9' x='6032' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMATHI-74' x='6655' y='0'%3e%3c/use%3e %3c/g%3e %3c/g%3e %3c/g%3e %3c/g%3e %3c/svg%3e)
. Sie kennen die folgenden Zahlenwerte: ' aria-hidden='true'%3e %3cg transform='translate(167%2c0)'%3e %3cg transform='translate(-11%2c0)'%3e %3cg transform='translate(0%2c-42)'%3e %3cuse xlink:href='%23E1-MJMATHI-52' x='0' y='0'%3e%3c/use%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMAIN-31' x='1074' y='-213'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMAIN-3D' x='1491' y='0'%3e%3c/use%3e %3cg transform='translate(2547%2c0)'%3e %3cuse xlink:href='%23E1-MJMATHI-52' x='0' y='0'%3e%3c/use%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMAIN-32' x='1074' y='-213'%3e%3c/use%3e %3c/g%3e %3cuse xlink:href='%23E1-MJMAIN-3D' x='4038' y='0'%3e%3c/use%3e %3cg transform='translate(5094%2c0)'%3e %3cuse xlink:href='%23E1-MJMATHI-52' x='0' y='0'%3e%3c/use%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMAIN-33' x='1074' y='-213'%3e%3c/use%3e %3c/g%3e %3cuse xlink:href='%23E1-MJMAIN-3D' x='6586' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMAIN-31' x='7642' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMATHI-6B' x='8420' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMAIN-3A9' x='8942' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMAIN-3B' x='9664' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMATHI-43' x='11498' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMAIN-3D' x='12536' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMAIN-31' x='13593' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMATHI-3BC' x='14371' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMATHI-46' x='14975' y='0'%3e%3c/use%3e %3c/g%3e %3c/g%3e %3c/g%3e %3c/g%3e %3c/svg%3e)
5.1 Geben Sie für die Schaltung die komplexe Übertragungsfunktion = %5cfrac%7b%5cunderline U_%5cmathrm a%7d%7b%5cunderline U_%5cmathrm e%7d%5cend%7barray%7d%3c/title%3e %3cdefs aria-hidden='true'%3e %3cpath stroke-width='1' id='E1-MJMATHI-66' d='M118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162Z'%3e%3c/path%3e %3cpath stroke-width='1' id='E1-MJMAIN-28' d='M94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250Z'%3e%3c/path%3e %3cpath stroke-width='1' id='E1-MJMATHI-3C9' d='M495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384Z'%3e%3c/path%3e %3cpath stroke-width='1' id='E1-MJMAIN-29' d='M60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749Z'%3e%3c/path%3e %3cpath stroke-width='1' id='E1-MJMAIN-3D' d='M56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153Z'%3e%3c/path%3e %3cpath stroke-width='1' id='E1-MJMATHI-55' d='M107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637Z'%3e%3c/path%3e %3cpath stroke-width='1' id='E1-MJMAIN-5F' d='M0 -62V-25H499V-62H0Z'%3e%3c/path%3e %3cpath stroke-width='1' id='E1-MJMAIN-2013' d='M0 248V285H499V248H0Z'%3e%3c/path%3e %3cpath stroke-width='1' id='E1-MJMAIN-61' d='M137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106Z'%3e%3c/path%3e %3cpath stroke-width='1' id='E1-MJMAIN-65' d='M28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275Z'%3e%3c/path%3e %3c/defs%3e %3cg stroke='currentColor' fill='currentColor' stroke-width='0' transform='matrix(1 0 0 -1 0 0)' aria-hidden='true'%3e %3cg transform='translate(167%2c0)'%3e %3cg transform='translate(-11%2c0)'%3e %3cuse xlink:href='%23E1-MJMATHI-66' x='0' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMAIN-28' x='550' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMATHI-3C9' x='940' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMAIN-29' x='1562' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMAIN-3D' x='2229' y='0'%3e%3c/use%3e %3cg transform='translate(3008%2c0)'%3e %3cg transform='translate(397%2c0)'%3e %3crect stroke='none' width='1021' height='60' x='0' y='220'%3e%3c/rect%3e %3cg transform='translate(60%2c651)'%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMATHI-55' x='0' y='0'%3e%3c/use%3e %3cg transform='translate(-39%2c-346)'%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMAIN-2013'%3e%3c/use%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMAIN-2013' x='268' y='0'%3e%3c/use%3e %3c/g%3e %3cuse transform='scale(0.574)' xlink:href='%23E1-MJMAIN-61' x='945' y='-349'%3e%3c/use%3e %3c/g%3e %3cg transform='translate(76%2c-429)'%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMATHI-55' x='0' y='0'%3e%3c/use%3e %3cg transform='translate(-39%2c-346)'%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMAIN-2013'%3e%3c/use%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMAIN-2013' x='268' y='0'%3e%3c/use%3e %3c/g%3e %3cuse transform='scale(0.574)' xlink:href='%23E1-MJMAIN-65' x='945' y='-349'%3e%3c/use%3e %3c/g%3e %3c/g%3e %3c/g%3e %3c/g%3e %3c/g%3e %3c/g%3e %3c/svg%3e)
 an.
5.2 Wie lautet ' aria-hidden='true'%3e %3cg transform='translate(167%2c0)'%3e %3cg transform='translate(-11%2c0)'%3e %3cuse xlink:href='%23E1-MJMATHI-66' x='0' y='0'%3e%3c/use%3e %3cuse xlink:href='%23E1-MJMAIN-3D' x='828' y='0'%3e%3c/use%3e %3cg transform='translate(1606%2c0)'%3e %3cg transform='translate(397%2c0)'%3e %3crect stroke='none' width='1021' height='60' x='0' y='220'%3e%3c/rect%3e %3cg transform='translate(60%2c651)'%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMATHI-55' x='0' y='0'%3e%3c/use%3e %3cg transform='translate(-39%2c-346)'%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMAIN-2013'%3e%3c/use%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMAIN-2013' x='268' y='0'%3e%3c/use%3e %3c/g%3e %3cuse transform='scale(0.574)' xlink:href='%23E1-MJMAIN-61' x='945' y='-349'%3e%3c/use%3e %3c/g%3e %3cg transform='translate(76%2c-429)'%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMATHI-55' x='0' y='0'%3e%3c/use%3e %3cg transform='translate(-39%2c-346)'%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMAIN-2013'%3e%3c/use%3e %3cuse transform='scale(0.707)' xlink:href='%23E1-MJMAIN-2013' x='268' y='0'%3e%3c/use%3e %3c/g%3e %3cuse transform='scale(0.574)' xlink:href='%23E1-MJMAIN-65' x='945' y='-349'%3e%3c/use%3e %3c/g%3e %3c/g%3e %3c/g%3e %3c/g%3e %3c/g%3e %3c/g%3e %3c/svg%3e)
für ' aria-hidden='true'%3e %3cuse xlink:href='%23E1-STIXWEBNORMALI-1D714' x='156' y='-50'%3e%3c/use%3e %3c/g%3e %3c/svg%3e)
 gegen 0?
5.3 Wie lautet für  gegen unendlich?
Related pages
Institut für Mechatronik im Maschinenbau (iMEK), Eißendorfer Straße 38, 21073 Hamburg