ELL112/EEL202  Circuit Theory
	Lectures held so far Date Number Topics covered References 24 Jul 2014 Lecture 1 Introduction to graph theory; tree; branches; chords; cut-sets; loops; fundamental cut-sets and loops; the fundamental theorem of graphs. Chua, Desoer, Kuh: Chapter 1, pages 1-27, Chapter 12, pages 700-707. 28 Jul 2014 Lecture 2 Fundamental loop matrix and fundamental cut-set matrix associated with a tree; relationship between the matrices; Tellegen's theorem. Chua, Desoer, Kuh: Chapter 12, pages 707-715. 31 Jul 2014 Lecture 3 The mesh method and the node-voltage method; when to use fundamental loops and fundamental cut-sets instead; writing out the matrix equation to solve a network. Hayt, Kemmerly: Chapter 3, pages 53-72 and 91-99. 04 Aug 2014 Lecture 4 Network theorems: superposition, Thevenin and Norton theorems for one-port networks, source-transformation. Reciprocity theorem for passive two-port networks. Hayt, Kemmerly: Chapter 3, pages 73-91; Chua, Desoer, Kuh: Chapter 1, pages 42-43 (20, 21). 07 Aug 2014 Lecture 5 Transient circuits: Introduction to inductors, capacitors, mutual inductances; solving first order transient circuits using differential equations and unilateral Laplace transforms; solving first order circuits by inspection from initial and final conditions. Kuo: Chapter 5, pages 100-109; Hayt, Kemmerly: Chapter 4, pages 109-126; Chua, Desoer, Kuh: Chapter 6, pages 320-333, 339. 11 Aug 2014 Lecture 6 The state space approach to solving a circuit; time-domain solution of state equations. Online, MIT course hand-out 14 Aug 2014 Lecture 7 The exact solution to the state space approach; the second order response; the general second order transfer function; solution based on initial conditions. Kuo: Chapter 5, pages 114-121. 21 Aug 2014 Lecture 8 Absolutely stable, unstable and marginally stable systems; forced response in absolutely stable circuits; response of a circuit to steady state sinusoidal sources. Two-port networks; impedance and admittance matrices. Hayt, Kemmerly: Chapter 8 and 9, pages 234-268; Kuo: Chapter 9, pages 253-257. 25 Aug 2014 Lecture 9 Recap of material, reasoning of why the response of a circuit with clock phases switching with a period of T will also be fundamentally periodic with T (and not with nT). Two-port networks; hybrid and inverse-hybrid parameters. Kuo: Chapter 9, pages 259-261. 01 Sep 2014 Lecture 10 Interconnections of two-port networks: series-series, series-shunt, shunt-shunt, and shunt-series interconnections. Kuo: Chapter 9, pages 273-276. 08 Sep 2014 Lecture 11 Computation of input impedance/admittance, output impedance/admittance, transfer function of two-port networks; the transmission matrix. Kuo: Chapter 9, pages 262-271. 11 Sep 2014 Lecture 12 Transmission lines; the telegrapher's equations; solving the telegrapher's equations in the time domain. Notes on transmission lines 15 Sep 2014 Lecture 13 Transmission of a pulse over a transmission line, reflection coefficients; Introduction to the scattering matrix. Notes on the scattering matrix 18 Sep 2014 Lecture 14 The scattering matrix, computation of S parameters. Notes on the scattering matrix 22 Sep 2014 Lecture 15 The scattering matrix, implications of the S parameters. Notes on the scattering matrix 25 Sep 2014 Lecture 16 The scattering matrix, working with S- parameters. Notes on the scattering matrix 29 Sep 2014 Lecture 17 Introduction to synthesis Kuo: Chapter 10, pages 290-294. 13 Oct 2014 Lecture 18 Positive real functions Kuo: Chapter 10, pages 299-302. 16 Oct 2014 Lecture 19 Properties of positive real functions; extraction of poles and zeros at infinity and on the jw axis. Kuo: Chapter 10, pages 302-310; Kuo: Appendix D, pages 490-492. 27 Oct 2014 Lecture 20 The Cauchy-Riemann equations, functions of a complex variable Kuo: Appendix C, pages 481-489; Kreyszig, Advanced Engineering Mathematics: sections 13.3, 13.4, 14.1, 14.2, 14.3, 14.4. 30 Oct 2014 Lecture 21 Properties of LC impedance functions; synthesis of LC impedance functions Kuo: Chapter 11, pages 315-325. 03 Nov 2014 Lecture 22 Properties of RC and RL impedance functions; synthesis of RC and RL impedance functions Kuo: Chapter 11, pages 325-333. 05 Nov 2014 Lecture 23 General RLC impedance synthesis; Brune synthesis Kuo: Chapter 11, pages 333-336; Otto Brune's Ph.D/Sc.D thesis: pages (PDF) 71-74. 10 Nov 2014 Lecture 24 Brune synthesis continued; proof that the three inductors extracted can always be designed with the help of a mutual inductance; numerical examples. Otto Brune's Ph.D/Sc.D thesis: pages (PDF) 71-78. 13 Nov 2014 Lecture 25 Transfer function synthesis; Butterworth approximation of the low pass brick-wall filter; synthesis of the Butterworth transfer function Kuo: Chapter 13, pages 365-372; Kuo: Chapter 14, pages 431-435. 17 Nov 2014 Lecture 26 The Chebyshev approximation to the low pass brick-wall filter; frequency transformations Kuo: Chapter 13, pages 373-379; Kuo: Chapter 14, pages 431-435; Kuo: Chapter 13, pages 402-404. 20 Nov 2014 Lecture 27 Frequency transformations; low pass to low pass, low pass to high pass, low pass to band pass and low pass to band stop. Kuo: Chapter 13, pages 402-410.
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Last updated on October 19 2016 at 08:05 IST