Linear Circuit Analysis

1. Introduction
2. Basic Concepts
3. Simple Circuits
4. Nodal and Mesh Analysis
5. Additional Analysis Techniques
6. AC Analysis
7. Magnetically Coupled Circuits
8. Polyphase Systems
9. Operational Amplifiers
10. Laplace Transforms
11. Time-Dependent Circuits
12. Two-Port Networks
Appendix

2-Semester Courseplan

Semester 1

Below are the default assignments (HW1-HW18) that are generated when the instructor creates a new Linear Circuit Analysis course and choses Semester 1 in a 2-semester course. The table shows the proposed due dates for each HW set but each instructor can set his or her own time schedule. The instructor can also re-organize the content and change the type, difficulty, and number of homework problems in each set.

Week numbera HW nameb HW numberc Dued Description
Week 1 Series/Parallel HW 1 End of 2nd week Identify R, L, C, voltage and current sources, nodes, and loops, series and parallel connections.
Week 2 Resistor simplification HW 2 End of 2nd week Simplify a network of resistors using series and parallel transformations.
Week 2 L/C simplification HW 3 End of 2nd week Simplify networks of capacitors and inductors using series and parallel transformations.
Week 3 Simple circuits (I) HW 4 End of 3rd week Compute currents, voltages, and powers (dissipated and generated) in circuits with one source and one resistor.
Week 3 Simple circuits (II) HW 5 End of 3rd week Compute currents, voltages, and powers in circuits with 3 or more components, using KVL, KCL, resistor simplifications, current and voltage division.
Week 4 DC nodal analysis (eqs.) HW 6 Beginnig of 5th week Write the system of nodal analysis equations (but do not solve it).
Week 4 DC nodal analysis (num.) HW 7 Beginnig of 5th week Write and solve the system of nodal analysis equations to compute currents, voltages and powers.
Week 5 DC mesh analysis (eqs.) HW 8 End of 6th week Write the system of mesh analysis equations (but do not solve it).
Week 5 DC mesh analysis (num.) HW 9 End of 6th week Write and solve the system of mesh analysis equations to compute currents, voltages and powers.
Week 6 Midterm 1
Week 7 DC superposition HW 10 End of 8th week Use the superposition method to compute currents and voltages in electric networks.
Week 7 DC source transformation HW 11 Begining of 10th week Simplify a circuit using successive source transformations.
Week 8 DC Norton/Thévenin HW 12 Begining of 10th week Compute the Norton and Thévenin equivalent circuits or DC networks.
Week 9 DC OpAmps HW 13 Begining of 11th week Analyze circuits containing one or more operational amplifiers.
Week 10 Impedance simplification HW 14 Beginnig of 12th week Compute the effective impedance of an AC network of R, L, and C using series and parallel combinations.
Week 11 AC nodal analysis HW 15 Beginnig of 13h week Compute currents and voltages in AC circuits using nodal analysis.
Week 12 AC mesh analysis HW 16 Beginnig of 14th week Compute currents and voltages in AC circuits using mesh analysis.
Week 13 AC analysis HW 17 Beginnig of 15th week Use superposition, Norton and Thévenin, and other AC analysis techniques (including time-domain/complex transformations) to solve AC problems.
Week 14 Midterm 2
Week 15 AC OpAmps HW 18 End of 15th week Single OpAmp inverters and followers containing AC sources, resistors, inductors, and capacitors.
Week 16 Final exam

aThe week when the topic is covered in class.

bThe default homework name when a new course is generated in CircuitsU.

cThe default homework number when a new course is generated in CircuitsU.

dThese are only the recommended due date, however, they need to be set by the instructor. Shorter homework assignments can have the same due date.

Semester 2

Below are the default assignments (HW1-HW17) that are generated when the instructor creates a new Linear Circuit Analysis course and choses Semester 2 in a 2-semester course.

Week number HW HW number Due Description
Week 1 AC power HW 1 Beginning of 3nd week Compute real power, reactive power, complex power, and power factor in AC circuits; power factor correction methods.
Week 2 AC maximum power transfer HW 2 Beginning of 3rd week Compute maximum power transferred in AC circuits; AC power factor correction.
Week 3 Magnetically coupled inductors HW 3 Beginning of 4rd week Compute currents and voltages in AC networks containing coupled inductors using mesh analysis.
Week 3 Ideal transformers HW 3 Beginning of 4rd week Compute currents and voltages in AC networks containing ideal transformers using nodal or mesh analysis, or the transformer elimination method.
Week 4 Polyphase circuits HW 5 Beginning of 5th week Three-phase circuits, delta-wye transformations, power, and power factor.
Week 4 RLC resonant circuits HW 6 End of 5th week Compute the resonant frequency, the quality factor, the band width, and half-power frequencies in RLC series and parallel circuits.
Week 5 First-order transient circuits HW 7 Beginning of 7th week Use the time relaxation approach to compute current and voltages in first-order transient circuits.
Week 6 Midterm 1
Week 7 ODE nodal analysis (eqs.) HW 8 Beginning of 9th week Write the system of nodal analysis ODEs for first, second and higher-order transient circuits (zero and non-zero initial conditions).
Week 8 ODE mesh analysis (eqs.) HW 9 Beginning of 9th week Write the system of mesh analysis ODEs for first, second and higher-order transient circuits (zero and non-zero initial conditions).
Week 9 Laplace transforms HW 10 End of 10th week Compute the direct Laplace transform of various functions.
Week 9 Inverse Laplace transforms HW 11 End of 10th week Compute the inverse Laplace transform of various functions.
Week 10 Laplace impedance simplification HW 12 End of 11th week Transform a circuit to s-domain and compute its equivalent s-domain impedance.
Week 10 Laplace transform nodal analysis (num.) HW 13 End of 12th week Convert circuits to s-domain, then write and solve the system of nodal analysis equations for first and second-order transient circuits (zero initial conditions).
Week 11 Laplace transform mesh analysis (num.) HW 14 End of 12th week Convert circuits to s-domain, then write and solve the system of mesh analysis equations for first and second-order transient circuits (zero initial conditions).
Week 12 Laplace analysis (num.) HW 15 Beginning of 13th week Source transformations, Norton/Thévenin equivalent circuits and superposition in the s-domain (zero initial conditions).
Week 13 Bode plots HW 16 Beginning of 14th week Derive the transfer function from the Bode magnitude plot and draw the Bode magnitude plot of a transfer function.
Week 14 Midterm 2
Week 15 Two-port networks HW 17 End of 15th week Compute y, z, h, and t parameters of DC and AC two-port networks.
Week 16 Final exam