# EC1010: Electrical and Magnetic Circuits(Jan.-May 2013)

These lectures are available on the web for the benefit of students at IIT Madras and elsewhere. Copyrights to these rest solely with the instructor and IIT Madras. Copying them, publishing them, rehosting them on other servers, or using them for any sort of commercial gain is prohibited.

## Instructor: Nagendra Krishnapura

This is a course on circuit analysis. Problem sets and other instructions can be found here. Familiarity with basic calculus is assumed. At IIT Madras, this is a prerequisite course for Networks and Systems and Analog Circuits.

The lectures are also available in iPod format(320×240 video, AAC audio). Click on the link marked iPod next to each lecture to download these. The pdf files contain the journal snapshots.

### Lectures

1. 2013-01-17: Introduction to the course
2. 2013-01-18(iPod, pdf): Current and Voltage; Kirchhoff's Current and Voltage laws; Electrical circuit elements: Resistance, voltage source, and current source
3. 2013-01-21(iPod, pdf): Capacitor, Inductor, controlled sources, mutual inductor
4. 2013-01-22(iPod, pdf): Mutual inductor; Power and energy; Energy in a mutual inductor; Capacitors and inductors in series and parallel
5. 2013-01-24(iPod, pdf): Constraint on mutual inductance; Solving for circuits-nodes, branches, trees; Nodal analysis
6. 2013-01-28(iPod, pdf): Nodal analysis
7. 2013-01-29(iPod, pdf): Modified nodal analysis
8. 2013-01-31(iPod, pdf): Modified nodal analysis; Loop analysis with link currents; Mesh analysis of planar circuits with mesh currents
9. 2013-02-04(iPod, pdf): Mesh analysis; Circuit theorems-substitution theorem
10. 2013-02-05(iPod, pdf): Thevenin and Norton equivalent of circuits
11. 2013-02-07(iPod, pdf): Maximum power transfer theorem; Tellegen's theorem; Reciprocity of resistive networks
12. 2013-02-12(iPod, pdf): Reciprocity theorem; Pushing a voltage source through a node; Splitting a current source
13. 2013-02-14(iPod, pdf): Exploiting symmetry in circuit analysis; Power transfer as available minus reflected power; Compensation theorem
14. 2013-02-15(iPod, pdf): Two port parameters
15. 2013-02-18(iPod, pdf): Two port parameters-reciprocal two ports, unilateral two ports, graphical representation
16. 2013-02-19(iPod, pdf): Analysis of nonlinear circuits; Small signal approximation
17. 2013-02-21(iPod, pdf): Analysis of nonlinear circuits; Small signal approximation
18. 2013-02-26(iPod, pdf): Opamp and negative feedback
19. 2013-02-28(iPod, pdf): Negative and positive feedback; Determining opamp signs for negative feedback
20. 2013-03-05(iPod, pdf): Determining opamp signs for negative feedback; CCVS using an opamp; Input and output resistances of controlled sources
21. 2013-03-07(iPod, pdf): CCVS using an opamp; Circuits with capacitors
22. 2013-03-08: Step response of RC circuits; Response of a first order circuit to a constant and exp(st) (No recording: refer to last year's lectures)
23. 2013-03-11(iPod, pdf): Response of first order circuit to exp(st), cos(wt); Response to sinusoids in terms of response of exp(jwt)
24. 2013-03-12(iPod, pdf): Step response of first order RC/RL circuits
25. 2013-03-14(iPod, pdf): Sinusoidal steady state response
26. 2013-03-15(iPod, pdf): Second order differential equation; RLC circuit natural response
27. 2013-03-18(iPod, pdf): RLC circuit natural response; Sinusoidal steady state response
28. 2013-03-19(iPod, pdf): Sinusoidal steady state response; Phasor diagrams; Magnitude and phase versus frequency
29. 2013-03-21(iPod, pdf): Magnitude and phase versus frequency; Bode plots; Sinusoidal steady state response of a series RLC circuit
30. 2013-03-22(iPod, pdf): Sinusoidal steady state response of a series RLC circuit; Circuit analysis and circuit theorems with phasors and complex impedances; rms value of an ac signal; Determining opamp signs for negative feedback-revisited
31. 2013-03-25(iPod, pdf): Complex power, real(average) power, apparent power, power factor, power factor correction; Conjugate matching for maximum power transfer
32. 2013-03-26(iPod, pdf): Quality factor in terms of energy; Locus diagrams
33. 2013-03-28(iPod, pdf): Locus diagrams; Phasor representation of a mutual inductor
34. 2013-04-02(iPod, pdf): Ideal transformer; Impedance matching using a transformer and other networks
35. 2013-04-04(iPod, pdf): Three phase power transmission; Real and reactive power
36. 2013-04-05(iPod, pdf): Balanced and unbalanced loads; Power factor in a 3 phase balanced system; 3 phase power measurement
37. 2013-04-08(iPod, pdf): Symmetrical component representation of unbalanced three phase quantities
38. 2013-04-12(iPod, pdf): Practical resistors and capacitors; Introduction to magnetic circuits
39. 2013-04-16(iPod, pdf): Flux density in a single loop; Solenoid; Solenoid with a ferromagnetic core; Flux density in a single loop; Solenoid with air/ferromagnetic core; Reluctance of a magnetic circuit
40. 2013-04-18(iPod, pdf): Magnetic circuits; Inductance and mutual inductance of a coil with a ferromagnetic core; B-H nonlinearity
41. 2013-04-19(iPod, pdf): Hysteresis loss; Eddy current loss
42. 2013-04-23(iPod, pdf): Transformer miscellanea; Complex power and its relationship to time domain components of power

### Problem sets

1. Problem set 1(1st Feb. 2013): Basic elements; Nodal analysis; Modified nodal analysis
2. Problem set 2(11th Feb. 2013): Circuit theorems
3. Problem set 3(25th Feb. 2013): Circuit theorems
4. Problem set 4(23rd Mar. 2013): Opamp circuits
5. Problem set 5(23rd Mar. 2013): RC, RLC network response, differential equations
6. Problem set 6(8th Apr. 2013): Sinusoidal steady state analysis, phasor diagrams, Bode plots
7. Problem set 7(15th Apr. 2013): Locus diagrams, Three phase circuits
8. Problem set 8(26th Apr. 2013): Magnetic circuits, transformers

### Quizzes

1. 2013-02-08: Quiz I
2. 2013-03-04: Quiz II
3. 2013-04-01: Quiz III
4. 2013-04-22: Quiz IV