Announcements
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Fall 2017
Middle East Technical University
Electrical and Electronics Engineering Department
Instructors
Section 1: Zafer Ünver, D-207
Section 2: Çağatay Candan, EZ-11A
Section 3: Emre Tuna, C-103
Section 4: Sencer Koç, D-212
Section 5: Özlem Aydın Çivi, C-202
Reference Texts
1. Fundamentals of Electric Circuits, C. K. Alexander and M. N. O. Sadiku,
McGraw-Hill Book Company.
2. Electric Circuits, J. W. Nilsson and S. A. Riedel,
Pearson Prentice Hall.
3. Linear and Nonlinear Circuits, L. O. Chua, C. A. Desoer, E. S. Kuh,
McGraw-Hill Book Company.
Grading
Two midterm examinations (30% each) and final examination (40%).
Final
Examination Policy
A student
i.
missing any midterm exam without a valid excuse,
ii.
having an average of less than 20 over 100 in the two midterm examinations
will
not be admitted to the final examination and will receive the NA grade.
Students who are graded with "NA" will not be eligible for the Resit Examination.
Course Outline
1. Introduction
Electrical components/devices and electric circuits; circuit variables.
Analysis and design. Modeling, model elements and model circuits.
2. Lumped Elements and Lumped Circuits
Current, Kirchhoff´s Current Law (KCL), current equations.
Voltage, Kirchhoff´s Voltage Law (KVL), voltage equations.
Terminal equations, schematic representations.
3. Interconnection Equations
Branch voltage and branch current, power and energy.
Circuit gaphs, circuit matrices.
Independent current and independent voltage equations.
Tellegen´s Theorem. Duality.
4. Branch Relations
Linear/nonlinear and time-invariant/time-varying relations.
One-port and multi-port circuits.
5. Basic Lumped Elements
Waveforms. Independent voltage and independent current sources.
Resistors, capacitors, inductors.
Dependent sources, ideal transformers, coupled inductors.
Classification of elements: resistive/dynamic, linear/nonlinear,
time-invariant/time-varying, passive/active elements.
6. Circuit Analysis
Classification of circuits: resistive/dynamic, linear/nonlinear,
time-invariant/time-varying, passive/active circuits.
Formulation of circuits: inputs, outputs, formulation variables;
formulation and output equations.
Solution of formulation equations.
II. Linear Time-Invariant Resistive Circuits (12 Hrs.)
1. Linear Time-Invariant (LTI) Resistive Elements
LTI resistors; series and parallel connections; delta-wye transformation.
LTI dependent sources. Ideal transformers.
2. Analysis Methods
Node, modified node and mesh analysis methods.
Linearity and time-invariance; superposition.
3. One-Port Circuits
Input resistances of LTI one-ports.
Thevenin/Norton equivalent circuits. Maximum power transfer.
4. Two-Port Circuits
Resistance, conductance, hybrid and chain parameters. Reciprocity.
5. Symmetric Circuits
1. Linear Time-Varying Resistive Elements and Circuits
2. Nonlinear Resistive Elements and Circuits
Analysis of resistive circuits with a single nonlinear resistor; load line.
Small-signal analysis.
3. Piecewise-Linear Resistive Circuits
Analysis and design of one-ports made of ideal diodes, constant sources and
LTI passive resistors.
IV. Operational Amplifier Circuits (8 Hrs.)
1. Operational Amplifiers
Finite-gain/infinite-gain ideal operational amplifier (op-amp) models.
2. Basic Op-Amp Circuits
Buffer circuit; inverting and noninverting amplifiers.
Feedback, stability.
Summing and difference amplifiers.
3. More Realistic Op-Amp Models
Input and output resistances; common-mode-rejection-ratio.
4. Miscellaneous Resistive Op-Amp Circuits
Circuits with one or more op-amps, with or without nonlinear resistors.
1. Ramp, Step and Impulse Functions
2. Capacitors
LTI capacitors; initial condition models; series and parallel connections;
delta-wye transformation.
Simple circuits made of LTI passive capacitors, independent sources and/or switches.
Time-varying and nonlinear capacitors.
3. Inductors
4. Coupled Inductors
LTI coupled inductors; initial condition models; series and parallel connections of
branches; equivalent models.
Time-varying and nonlinear coupled inductors.
1. First Order Linear Differential Equations with Constant Coefficients
Homogeneous solution; exponential function; bounded/unbounded solutions.
Particular solution. Complete solution. Zero-input and zero-state solutions.
Linearity and time-invariance of solutions. Convolution integral.
2. Simple LTI RC Circuit
State variable, state equation.
Natural response; natural frequency, bounded/unbounded responses.
Forced response; responses to constant and sinusoidal excitations.
Transient and steady-state responses. Step, pulse, ramp, and impulse responses.
3. Simple LTI RL Circuit
4. Analysis of Miscellaneous LTI First Order Circuits
Circuits with one or more dynamic elements, with or without switches.
5. Piecewise-Linear First Order Circuits
6. Time-Varying and Nonlinear First Order Circuits
1. Second Order Linear Differential Equations with Constant Coefficients
Homogeneous solution; bounded/unbounded solutions;
overdamped, critically damped, underdamped and lossless cases.
Particular solution. Complete solution. Zero-input and zero-state solutions.
Linearity and time-invariance of solutions. Convolution integral.
2. Parallel LTI RLC Circuit
State variables, state equation, second order differential equation formulation.
Natural response; natural frequencies, bounded/unbounded responses.
Forced response; responses to constant and sinusoidal excitations.
Transient and steady-state responses. Step and impulse responses.
3. Series LTI RLC Circuit
4. Miscellaneous Simple Second Order Circuits