EC1010: Electrical and Magnetic Circuits(Jan.-May 2014)
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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.
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Lectures
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2014-01-17(
pdf): Current and Voltage; Kirchhoff's Current and Voltage laws; Electrical circuit elements: Resistance, voltage source, and current source
2014-01-21(
pdf): Capacitor, Inductor, controlled sources, mutual inductor; Elements in series and parallel
2014-01-23(
pdf): Power and energy; Constraint on mutual inductance
2014-01-24(
pdf): Open and short circuits; Loops and nodes in a circuit; Nodal analysis
2014-01-27(
pdf): Nodal analysis of circuits with resistors and independent current sources; Voltage sources and supernodes; Controlled sources
2014-01-28(
pdf): Nodal analysis of circuits with controlled sources; Modified nodal analysis(MNA)
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2014-02-06(
pdf): Mesh analysis; Superposition theorem; Pushing a voltage source through a node
2014-02-07(
pdf): Splitting a current source; Substitution theorem
2014-02-10(
pdf): Thevenin's theorem; Maximum power transfer theorem; Tellegen's theorem
2014-02-11(
pdf): Norton's theorem; Tellegen's theorem; Reciprocity in resistive networks
2014-02-13(
pdf): Reciprocity in resistive networks; Introduction to two port networks
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2014-02-25(
pdf): Incremental analysis of nonlinear circuits; Diode model
2014-02-27(
pdf): Incremental analysis of nonlinear circuits; Diode model
2014-02-28(
pdf): Incremental y parameters of nonlinear two ports; Negative feedback and ideal opamp
2014-03-03(
pdf): Negative feedback and opamp; Assigning opamp signs for negative feedback
2014-03-04(
pdf): Negative feedback and opamp; Assigning opamp signs for negative feedback
2014-03-07(
pdf): Circuits with capacitors and inductors; First order differential equation and its solutions
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2014-03-13(
pdf): Steady state response of a first order circuit to exponential and sinusoidal inputs
2014-03-18(
pdf): Sinusoidal steady state response; Natural response of a second order circuit
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2014-03-24: Natural response of a second order circuit; Sinusoidal steady state response
2014-03-25(
pdf): Sinusoidal steady state response; Phasors and their use in circuit analysis
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2014-04-01(
pdf): Magnitude and phase plots; Bode plots; Magnitude and phase response of a second order RLC circuit
2014-04-03: Complex power; Conjugate matching for maximum power transfer (no recording; refer to last year's lecture below)
2013-03-25(
iPod,
pdf): Complex power, real(average) power, apparent power, power factor, power factor correction; Conjugate matching for maximum power transfer
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2014-04-08(
pdf): Locus diagrams; Conjugate matching networks; Phasor representation of a mutual inductor
2014-04-10: Quiz III review
2014-04-11(
pdf): Ideal transformer; Impedance matching with a transformer; Three phase power transmission
2014-04-16(
pdf): Three phase systems; 3 and 4 wire connection; Delta and star connected loads; Star-Delta transformation; Balanced and unbalanced loads
2014-04-17(
pdf): Star point voltage in an unbalanced load; Symmetrical component representation of unbalanced quantities
2014-04-21(
pdf): Symmetrical components; Wattmeter and power measurement in single and 3 phase systems
2014-04-22(
pdf): Magnetic circuits-analogs of KVL, KCL, and ohms law
2014-04-25(
pdf): Magnetic components using loops of magnetic material; Nonlinearity, hysteresis, and eddy current losses
Additional material
Problem sets
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Problem set 2(31st Jan. 2014): Nodal analysis; Modified nodal analysis
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Problem set 4(21st Feb. 2014): Circuit theorems; Two port networks
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Problem set 7(21st Mar. 2014): RC, RL, RLC network response, differential equations
Problem set 8(28th Mar. 2014): Sinusoidal steady state response, Phasor diagrams, Bode plots
Problem set 9(15th Apr. 2014): Locus diagrams, Conjugate matching
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Quizzes
2014-02-03: Quiz I
2014-02-24: Quiz II
2014-04-07: Quiz III
2014-04-29: Quiz IV