Linear and nonlinear circuits:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
McGraw-Hill
1987
|
| Schriftenreihe: | McGraw-Hill series in electrical engineering : Circuits and systems
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Lösungsband u.d.T.: Ayrom, F.: Solutions manual to accompany Chua, Desoer, Kuh: Linear and nonlinear circuits |
| Beschreibung: | XXI, 839 S. graph. Darst. |
| ISBN: | 0070108986 0071001670 |
Internformat
MARC
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| 100 | 1 | |a Chua, Leon O. |d 1936- |e Verfasser |0 (DE-588)173544630 |4 aut | |
| 245 | 1 | 0 | |a Linear and nonlinear circuits |c Leon O. Chua ; Charles A. Desoer ; Ernest S. Kuh |
| 264 | 1 | |a New York [u.a.] |b McGraw-Hill |c 1987 | |
| 300 | |a XXI, 839 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a McGraw-Hill series in electrical engineering : Circuits and systems | |
| 500 | |a Lösungsband u.d.T.: Ayrom, F.: Solutions manual to accompany Chua, Desoer, Kuh: Linear and nonlinear circuits | ||
| 650 | 4 | |a Electric circuits, Linear | |
| 650 | 4 | |a Electric circuits, Nonlinear | |
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| 689 | 0 | 0 | |a Elektrisches Netzwerk |0 (DE-588)4014214-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Desoer, Charles A. |e Verfasser |4 aut | |
| 700 | 1 | |a Kuh, Ernest S. |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804116510687363072 |
|---|---|
| adam_text | 28 Q 2Cn
LINEAR
AND NONLINEAR
CIRCUITS
Leon O /Chua
Charles A Desoer
Ernest S Kuh
University of California—Berkeley
Nachrirhtentechnische Bibliothek
1? ID
Inv -Nr :
JjO - amp; amp;
McGraw-Hill Book Company
New York St Louis San Francisco Auckland Bogota Hamburg
London Madrid Mexico Milan Montreal New Delhi
Panama Paris Säo Paulo Singapore Sydney Tokyo Toronto
CONTENTS
Preface xix
1 Kirchhoff s Laws l
1 The Discipline of Circuit Theory 1
2 Lumped-Circuit Approximation 2
3 Electric Circuits, Models, and Circuit Elements 4
4 Kirchhoff s Laws 6
4 1 Reference Directions 6
4 2 Kirchhoff’s Voltage Law (KVL) 7
4 3 Kirchhoff’s Current Law (KCL) 10
4 4 Three Important Remarks 12
5 From Circuits to Graphs 12
5 1 The Element Graph: Branch Currents, Branch Voltages, and the
Associated Reference Directions 13
5 2 The Circuit Graph: Digraph 16
5 3 Two-Ports, Multiports, and Hinged Graphs 18
5 4 Cut Sets and KCL 21
6 Matrix Formulation of Kirchhoff’s Laws 23
6 1 Linear Independence 23
6 2 Independent KCL Equations 24
6 3 Independent KVL Equations 26
7 Tellegen’s Theorem 27
7 1 Theorem, Proof, and Remarks 27
7 2 Tellegen’s Theorem and Conservation of Energy 29
7 3 The Relation between Kirchhoff’s Laws and Tellegen’s Theorem 30
7 4 Geometric Interpretation 31
Summary 34
2 Two-Terminal Resistors 45
1 v-i Characteristic of Two-Terminal Resistors 46
1 1 From Linear Resistor to Resistor 46
1 2 The Nonlinear Resistor 50
ix
X CONTENTS
1 3 Independent Sources 56
1 4 Time-Invariant and Time-Varying Resistors 59
2 Series and Parallel Connections 61
2 1 Series Connection of Resistors 62
2 2 Parallel Connection of Resistors 67
2 3 Series-Parallel Connection of Resistors 73
3 Piecewise-Linear Techniques *76
3 1 The Concave and Convex Resistors 78
3 2 Approximation and Synthesis 80
4 dc Operating Points 83
5 Small-Signal Analysis 92
6 Transfer Characteristics 96
Summary 100
3 Multiterminal Resistors 116
1 Resistive Two-Ports 117
11A Linear Resistive Two-Port Example 118
1 2 Six Representations 119
1 3 Physical Interpretations 121
2 Useful Resistive Two-Ports 126
2 1 Linear Controlled Sources 126
2 2 Ideal Transformer 130
2 3 Gyrator 132
3 Nonlinear Resistive Two-Ports 133
4 The npn Bipolar Transistor 137
4 1 v-i Characteristics and Modeling 137
4 2 dc Operating Points and Double Load Lines 142
4 3 Small-Signal Analysis 145
5 The MOS Transistor and the Basic Inverter 150
6 Multiport and Multiterminal Resistors 155
6 1 The Three-Port Ideal Transformer 155
6 2 The Three-Port Circulator 156
6 3 Analog Multiplier 158
Summary 159
4 Operational-Amplifier Circuits 171
1 Device Description, Characteristics, and Model 171
2 OP-AMP Circuits Operating in the Linear Region 177
2 1 Virtual Short Circuits 177
2 2 Inspection Method 178
A Voltage Follower (Buffer) 178
B Inverting Amplifier 179
C Noninverting Amplifier 180
D Resistance Measurement without Surgery 181
E Nonlinear Feedback 182
2 3 Systematic Method 184
CONTENTS Xi
3 OP-AMP Circuits Operating in the Nonlinear Region 187
31+ Saturation and - Saturation Equivalent Circuits 187
3 2 Inspection Method 188
A Comparator (Threshold Detector) 188
B Negative vs Positive Feedback Circuit 190
C Negative-Resistive Converter 192
D Concave and Convex Resistors 195
3 3 Systematic Method 199
4 Comparison with Finite-Gain Model 200
Summary 202
5 General Resistive Circuits 213
1 Node Analysis for Resistive Circuits 214
1 1 Node Equation Formulation: Linear Resistive Circuits 215
1 2 Linear Circuits Containing Two-Terminal Resistors and
Independent Sources 221
1 3 Existence and Uniqueness of Solution 222
1 4 Node Equation Formulation: Nonlinear Resistive Circuits 223
2 Tableau Analysis for Resistive Circuits 225
2 1 Tableau Equation Formulation: Linear Resistive Circuits 226
2 2 Tableau Equation Formulation: Nonlinear Resistive Circuits 230
3 Computer-Aided Solution of Nonlinear Algebraic Equations 232
3 1 The Newton-Raphson Algorithm 233
3 2 Newton-Raphson Discrete Equivalent Circuit 236
4 General Properties of Linear Resistive Circuits 243
4 1 Superposition Theorem 244
4 2 The Thevenin-Norton Theorem 251
4 3 Two-Port Representation Theorem 259
5 General Properties of Nonlinear Resistive Circuits 266
5 1 Substitution Theorem 267
5 2 Loop-Cut-Set Exclusion Property 269
5 3 Consequences of Strict Passivity 271
5 4 Consequences of Strict Mono tonicity 276
Summary 279
6 First-Order Circuits 295
1 Two-Terminal Capacitors and Inductors 295
1 1 q-v and (f -i Characteristics 297
1 2 Time-Varying Capacitors and Inductors 303
2 Basic Properties Exhibited by Time-Invariant Capacitors and Inductors 306
2 1 Memory Property 306
2 2 Continuity Property 309
2 3 Lossless Property 312
2 4 Energy Stored in a Linear Time-Invariant Capacitor or Inductor 316
2 5 Energy Stored in a Nonlinear Time-Invariant Capacitor or Inductor 317
XÜ CONTENTS
3 First-Order Linear Circuits 320
3 1 Circuits Driven by dc Sources 321
A Properties of Exponential Waveforms 322
B Elapsed Time Formula 327
C Inspection Method (First-Order Linear Time-Invariant Circuits
Driven by dc Sources) 327
3 2 Circuits Driven by Piecewise-Constant Signals 329
3 3 Linear Time-Invariant Circuits Driven by an Impulse 334
3 4 Circuits Driven by Arbitrary Signals 336
4 First-Order Linear Switching Circuits 339
5 First-Order Piecewise-Linear Circuits 340
5 1 The Dynamic Route 341
5 2 Jump Phenomenon and Relaxation Oscillation 344
5 3 Triggering a Bistable Circuit (Flip-Flop) 347
Summary 350
7 Second-Order Circuits 363
1 Equation Formulation: Linear Time-Invariant Circuits 364
1 1 Two Standard Forms: x + lax + a lx = us(t) and x = Ax + u(t) 364
1 2 State Equation and State Variables 368
1 3 Linear State Equation Formulation 371
A Two-Capacitor Configuration 371
B Two-Inductor Configuration 373
C Capacitor-Inductor Configuration 373
2 Zero-Input Response 374
2 1 Determining Zero-Input Response from x + lax + a^x = 0; a 0
and 0 375
A Determination of Arbitrary Constants 378
B Physical Interpretation via Parallel RLC Circuits 378
C Quality Factor 381
2 2 Determining Zero-Input Response from x = Ax; A^ T2 383
3 Qualitative Behavior of x = Ax 386
3 1 Two Distinct Real Eigenvalues: A T2, A^O
(Equivalently, a2 aQ, wj/ 0) 388
A Stable Node: Two Real Negative Eigenvalues (s2 s1 0; Equivalently,
a a 0 0) 389
B Unstable Node: Two Real Positive Eigenvalues (0 s2 Equivalently,
a — co0 0) 390
C Saddle Point: One Negative and One Positive Eigenvalue
(s2 0 s1; Equivalently, a)2 0) 391
3 2 Two Complex-Conjugate Eigenvalues: A T2 (Equivalently, a2 (ol) 392
A Center: Two Imaginary Eigenvalues (Equivalently, a =0, o)d = a 0) 393
B Stable Focus: Two Complex-Conjugate Eigenvalues with a
Negative Real Part (Equivalently, a 0 and a2 col) 395
C Unstable Focus: Two Complex-Conjugate Eigenvalues with a
Positive Real Part (Equivalently, a 0 and a2 a l) 396
3 3 Summary of Equilibrium State Classification 397
4 Nonlinear State Equation Formulation 399
CONTENTS XÜi
4 1 Tunnel Diode and Josephson Junction Circuits 400
4 2 How to Write Nonlinear State Equations 402
5 Qualitative Behavior of x = f(x) 407
5 1 Phase Portrait 409
5 2 Equilibrium States and Operating Points 417
5 3 Qualitative Behavior Near Equilibrium States 421
6 Nonlinear Oscillation 425
6 1 Basic Negative-Resistance Oscillator 426
6 2 Physical Mechanisms for Oscillation 428
6 3 Phase Portrait of Typical Oscillators 431
A Linear Oscillator 431
B Van der Pol Oscillator 432
C Jump Phenomenon Revisited 436
Summary 439
8 General Dynamic Circuits 453
1 Coupled Inductors 454
1 1 Linear Time-Invariant Coupled Inductors 454
A Characterization 454
B Stored Energy 456
C Sign of M 458
D More Than Two Inductors 459
E Relation with Ideal Transformers 460
1 2 Nonlinear Time-Invariant Coupled Inductors 461
2 Tableau Analysis 462
2 1 Linear Dynamic Circuits 462
A Linear Time-Invariant Circuits 462
B Linear Time-Varying Circuit 464
2 2 Nonlinear Dynamic Circuits 466
3 Modified Node Analysis 468
4 Small-Signal Analysis 472
5 General Properties of Dynamic Circuits 481
5 1 Superposition Theorem for Linear Dynamic Circuits 482
5 2 Substitution Theorem for Dynamic Circuits 486
6 Numerical Solution of Circuit Equations 488
6 1 The Forward Euler Method 489
6 2 The Backward Euler Method 491
6 3 The Backward Euler Method Applied to Circuit Equations 493
Summary 496
9 Sinusoidal Steady-State Analysis 505
Introduction 505
0 Review of Complex Numbers 506
Operations with Complex Numbers 507
1 Phasors and Sinusoidal Solutions 508
1 1 Sinusoids and Phasors 508
1 2 Three Lemmas 509
1 3 Example of Sinusoidal Steady-State Solution 512
MV CONTENTS
2 Phasor Formulation of Circuit Equations 514
2 1 Kirchhoff’s Laws 514
A Kirchhoff’s Current Law: KCL 514
B Kirchhoff s Voltage Law: KVL 515
2 2 Branch Equations 516
2 3 The Concept of Impedance and Admittance 517
2 4 Tableau Equations 520
2 5 Sinusoidal Steady-State Analysis 522
A Analogy with Resistive Circuit Analysis 522
B Example of Node Analysis in the Sinusoidal Steady State 523
3 Network Functions in the Sinusoidal Steady State 524
3 1 The Concept of Network Function 524
3 2 Symmetry Property of Network Functions 528
3 3 Network Functions and Sinusoidal Waveforms 531
3 4 Superposition of Sinusoidal Steady State 531
3 5 Impedance and Frequency Normalization 533
4 Resonant Circuit 535
4 1 Time-Domain Analysis 535
4 2 Frequency Domain Analysis 536
A Behavior of Y(ja ) 536
B Behavior of Z( j(o) 536
C Circuit at Resonance 538
D Behavior Near Resonance 540
5 Power and Energy in the Sinusoidal Steady State 542
5 1 Instantaneous Power and Average Power 542
A Examples 542
B Power into a One-Port 544
5 2 Complex Power 545
A Definition 545
B Conservation of Complex Power 546
5 3 Maximum Power Transfer Theorem 547
A Analysis 548
B Conclusions 549
5 4 Average Power Due to Several Sinusoidal Inputs 550
5 5 Driving-Point Impedance, Stored Energy, and Dissipated Power 552
6 Three-Phase Circuits 554
6 1 General Considerations 554
6 2 Elementary One-Phase Generator 555
6 3 Elementary Three-Phase Generator 557
6 4 Three-Phase Generator Under Balanced Load 559
6 5 Analysis of a Balanced Three-Phase Circuit 560
Summary 562
10 Linear Time-Invariant Circuits 575
Introduction 575
1 Definition of the Laplace Transform 576
1 1 Definition 576
1 2 Two Important Examples 578
CONTENTS XV
2 Four Basic Properties of Laplace Transforms 581
2 1 Uniqueness Property 581
2 2 Linearity Property 581
2 3 Differentiation Rule 583
A Property and Proof 583
2 4 Integration Rule 585
2 5 Laplace Transform Rules and Phasor Calculation Rules 585
3 Partial Fraction Expansions 588
3 1 Reduction Step 588
3 2 Simple Poles 589
3 3 Multiple Poles 590
3 4 Example: Circuit Analysis Using Laplace Transform 591
4 Properties of Linear Time-Invariant Circuits 593
4 1 Tableau Equations in the Frequency Domain 593
A Laplace Transform of Kirchhoff’s Laws 593
B Laplace Transform of the Branch Equations 594
C The Tableau Equations in the Frequency Domain 594
D Two Properties of Linear Time-Invariant Circuits 595
4 2 Modified Node Analysis in the Frequency Domain 596
4 3 Zero-Input Response and Natural Frequencies 600
A Characteristic Polynomial and Natural Frequencies 600
B Physical Interpretation of Natural Frequencies 601
C The Zero-Input Response 605
4 4 Zero-State Response, Network Functions, and Impulse Response 609
A Network Functions 610
B Remark on Cancellations 612
C Impulse Response and Network Functions 613
5 The Fundamental Theorem of the Sinusoidal Steady State 615
6 Convolution 619
6 1 Engineering Interpretation of Convolution 619
A The Convolution Operation 619
B The Convolution Integral 620
C Proof of Eq (6 5) Based on Linearity and Time-Invariance 620
D Graphical Interpretation: Flip and Drag 623
E Example 624
F Memory-Time of a Circuit 626
6 2 The Convolution Theorem 626
6 3 The Sinusoidal Steady State Analyzed by Convolution 627
Summary 629
11 Network Functions and Stability 644
Introduction 644
1 Magnitude Phase and Pole Zeros 644
1 1 First-Order Circuits 645
A Analysis 645
B Magnitude and Phase Curves 646
C Bode Plots 648
XVi CONTENTS
D Nyquist Plot of H(jw) =1/ [1 + j((o/(oc)] 650
E Step and Impulse Response of H(s) = l/(l + s7o c) 651
1 2 Second-Order Circuits 652
1 3 General Case 655
2 Zeros of Network Functions 658
3 Nyquist Criterion 660
3 1 Example 661
3 2 Stability Analysis 665
3 3 Graphic Interpretation and the Key Theorem 667
3 4 Nyquist Criterion 671
3 5 The Nyquist Plot and Root Loci 673
3 6 The Nyquist Criterion in Terms of the Bode Plot 675
4 Open-Circuit Stability and Short-Circuit Stability of One-Ports 677
4 1 An Illustrative Example 678
4 2 Short-Circuit Stability and Open-Circuit Stability Defined 679
4 3 Remark on Polynomials 682
5 Stability of a One-Port Terminated By a Resistor 683
A Analysis 683
B Nyquist-Type Test Assuming Zx{s) Open-Circuit Stable 684
Summary 686
12 Circuit Topology and General Circuit Analysis 695
1 Source Transformations 696
1 1 The i^-Shift Property 697
1 2 The is-Shift Property 698
2 Kirchhoff s Laws Revisited 700
2 1 KCL Equations Based on Cut Sets 700
2 2 Graph, Subgraph, and Loop 702
2 3 KVL Equations Based on Loops 702
3 Cut Sets and Loops Based on a Tree 705
3 1 Tree 705
3 2 The Fundamental Cut-Set Matrix Associated with a Tree 707
3 3 The Fundamental Loop Matrix Associated with a Tree 710
3 4 Relation between Q and B 714
4 Tableau Analysis 715
5 Linear Time-Invariant Circuit Analysis 719
5 1 Cut-Set Analysis 719
A Branch Equations 719
B Cut-Set Equations 722
5 2 Loop Analysis 724
5 3 Mesh Analysis 726
6 State Equations 727
Summary 731
13 Two-Ports, Multiports, and Reciprocity 74
1 Review of Port Characterizations 74
1 1 One-Port 74
1 2 Two-Ports 74
CONTENTS XVÜ
2 Linear Time-Invariant Two-Ports 746
2 1 The Impedance and Admittance Matrices 747
2 2 Hybrid Mätrices 752
2 3 The Transmission Matrices 754
3 Terminated and Interconnected Two-Ports 756
3 1 Terminated Two-Ports 756
3 2 Interconnected Two-Ports 758
4 Multiports and Multiterminal Circuits 762
4 1 n-Port Characterization 762
4 2 The Indefinite Admittance Matrix 765
5 The Soldering Iron Entry and friers Entry 770
6 The Reciprocity Theorem 771
Summary 779
14 Design and Sensitivity 790
Introduction 790
1 Simple Low-Pass Filter Design 790
1 1 The Butterwofth Approximation 791
1 2 Synthesis of All-Pole Transfer Functions 795
1 3 Renormalization 801
A Magnitude Scaling 801
B Frequency Scaling 801
C Impedance Scaling 802
2 Sensitivity Analysis 803
2 1 Explicit Sensitivity Formulas 805
A In Terms of Network Function Components 805
B In Terms of the Node Admittance Matrix 808
2 2 Calculating Sensitivity Via the Adjoint Equation 813
A Physical Interpretation of the Adjoint Equation 814
B Calculating 8En in Terms of E and Ea 815
C LU Decomposition Method for Solving E and E“ 818
Summary 819
Glossaries
A Symbols 826
B Notation 828
Index 831
|
| any_adam_object | 1 |
| author | Chua, Leon O. 1936- Desoer, Charles A. Kuh, Ernest S. |
| author_GND | (DE-588)173544630 |
| author_facet | Chua, Leon O. 1936- Desoer, Charles A. Kuh, Ernest S. |
| author_role | aut aut aut |
| author_sort | Chua, Leon O. 1936- |
| author_variant | l o c lo loc c a d ca cad e s k es esk |
| building | Verbundindex |
| bvnumber | BV002060487 |
| callnumber-first | T - Technology |
| callnumber-label | TK454 |
| callnumber-raw | TK454 |
| callnumber-search | TK454 |
| callnumber-sort | TK 3454 |
| callnumber-subject | TK - Electrical and Nuclear Engineering |
| classification_rvk | SK 990 ST 190 ZN 5310 |
| classification_tum | ELT 400f |
| ctrlnum | (OCoLC)13642514 (DE-599)BVBBV002060487 |
| dewey-full | 621.319/21 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.319/21 |
| dewey-search | 621.319/21 |
| dewey-sort | 3621.319 221 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Informatik Elektrotechnik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| id | DE-604.BV002060487 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:39:40Z |
| institution | BVB |
| isbn | 0070108986 0071001670 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001347529 |
| oclc_num | 13642514 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-739 DE-523 DE-83 DE-29T DE-384 DE-706 DE-11 DE-634 |
| owner_facet | DE-91 DE-BY-TUM DE-739 DE-523 DE-83 DE-29T DE-384 DE-706 DE-11 DE-634 |
| physical | XXI, 839 S. graph. Darst. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | McGraw-Hill |
| record_format | marc |
| series2 | McGraw-Hill series in electrical engineering : Circuits and systems |
| spelling | Chua, Leon O. 1936- Verfasser (DE-588)173544630 aut Linear and nonlinear circuits Leon O. Chua ; Charles A. Desoer ; Ernest S. Kuh New York [u.a.] McGraw-Hill 1987 XXI, 839 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier McGraw-Hill series in electrical engineering : Circuits and systems Lösungsband u.d.T.: Ayrom, F.: Solutions manual to accompany Chua, Desoer, Kuh: Linear and nonlinear circuits Electric circuits, Linear Electric circuits, Nonlinear Elektrisches Netzwerk (DE-588)4014214-0 gnd rswk-swf Elektrisches Netzwerk (DE-588)4014214-0 s DE-604 Desoer, Charles A. Verfasser aut Kuh, Ernest S. Verfasser aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001347529&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chua, Leon O. 1936- Desoer, Charles A. Kuh, Ernest S. Linear and nonlinear circuits Electric circuits, Linear Electric circuits, Nonlinear Elektrisches Netzwerk (DE-588)4014214-0 gnd |
| subject_GND | (DE-588)4014214-0 |
| title | Linear and nonlinear circuits |
| title_auth | Linear and nonlinear circuits |
| title_exact_search | Linear and nonlinear circuits |
| title_full | Linear and nonlinear circuits Leon O. Chua ; Charles A. Desoer ; Ernest S. Kuh |
| title_fullStr | Linear and nonlinear circuits Leon O. Chua ; Charles A. Desoer ; Ernest S. Kuh |
| title_full_unstemmed | Linear and nonlinear circuits Leon O. Chua ; Charles A. Desoer ; Ernest S. Kuh |
| title_short | Linear and nonlinear circuits |
| title_sort | linear and nonlinear circuits |
| topic | Electric circuits, Linear Electric circuits, Nonlinear Elektrisches Netzwerk (DE-588)4014214-0 gnd |
| topic_facet | Electric circuits, Linear Electric circuits, Nonlinear Elektrisches Netzwerk |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001347529&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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