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. Operational Amplifiers
9. Laplace Transforms
10. Time-Dependent Circuits
11. Two-Port Networks
Appendix

3-Quarter Courseplan

Quarter 1

Below are the default assignments (HW1-HW12) that are generated when the instructor creates a new Linear Circuit Analysis course and choses Quarter 1 in a 3-quarter 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 3 Simple circuits (I) HW 3 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 4 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 5 End of 4th week Write the system of nodal analysis equations (but do not solve it).
Week 4 DC nodal analysis (num.) HW 6 End of 4th week Write and solve the system of nodal analysis equations to compute currents, voltages and powers.
Week 5 DC mesh analysis (eqs.) HW 7 Beginning of 6th week Write the system of mesh analysis equations (but do not solve it).
Week 5 DC mesh analysis (num.) HW 8 Beginning of 6th week Write and solve the system of mesh analysis equations to compute currents, voltages and powers.
Week 6 Review session or optional midterm
Week 7 DC superposition HW 9 Beginning of 8th week Use the superposition method to compute currents and voltages in DC networks.
Week 7 DC source transformation HW 10 Beginning of 9th week Simplify a circuit using successive source transformations.
Week 8 DC Norton/Thévenin HW 11 Begining of 9th week Compute the Norton and Thévenin equivalent circuits or DC networks.
Week 9 DC OpAmps HW 12 Beginning of 10th week Analyze circuits containing one or more operational amplifiers.
Week 10 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.

Quarter 2

Below are the default assignments (HW1-HW14) that are generated when the instructor creates a new Linear Circuit Analysis course and choses Quarter 2 in a 3-quarter course.

Week number HW name HW number Due Description
Week 1 L/C simplification HW 1 End of 2nd week Simplify networks of capacitors and inductors using series and parallel transformations.
Week 2 Impedance simplification HW 2 End of 2nd week Compute the effective impedance of an AC network of R, L, and C using series and parallel combinations.
Week 3 AC nodal analysis HW 3 Beginnig of 4th week Write the system of nodal analysis equations (but do not solve it).
Week 3 AC nodal analysis HW 4 Beginnig of 4th week Write and solve the system of nodal analysis equations compute currents and voltages.
Week 4 AC mesh analysis HW 5 End of 5th week Write the system of mesh analysis equations (but do not solve it).
Week 4 AC mesh analysis HW 6 End of 5th week Write and solve the system of mesh analysis equations to compute currents and voltages.
Week 5 AC superposition HW 7 End of 6th week Use the superposition method to compute currents and voltages in DC networks
Week 5 AC Norton/Thévenin HW 8 Beginning of 7th week Compute the Norton and Thévenin equivalent circuits or AC networks.
Week 6 Review session or optional midterm
Week 7 AC analysis HW 9 Beginning of 8th week Use a.c techniques to solve general AC circuits.
Week 7 AC OpAmps HW 10 Beginning of 8th week Single OpAmp inverters and followers containing AC sources, resistors, inductors, and capacitors.
Week 8 AC power HW 11 Beginning of 9nd week Compute real power, reactive power, complex power, and power factor in AC circuits; power factor correction methods.
Week 8 AC maximum power transfer HW 12 Beginning of 9th week Compute maximum power transferred in AC circuits; AC power factor correction.
Week 9 AC Coupled inductors HW 13 End of 9th week Compute currents and voltages in AC networks containing coupled inductors using mesh analysis.
Week 9 AC ideal transformers HW 14 End of 9th week Compute currents and voltages in AC networks containing ideal transformers using nodal or mesh analysis, or the transformer elimination method.
Quarter 3

Below are the default assignments (HW1-HW13) that are generated when the instructor creates a new Linear Circuit Analysis course and choses Quarter 3 in a 3-quarter course.

Week number HW name HW number Due Description
Week 1 Polyphase circuits HW 1 End of 2nd week Three-phase circuits, power relationships, and power factor correction (to be implemented).
Week 1 RLC resonant circuits HW 2 End of 2rd week Compute the resonant frequency, the quality factor, the band width, and half-power frequencies in RLC series and parallel circuits.
Week 2 First-order transient circuits HW 3 End of 3th week Use the time relaxation approach to compute current and voltages in first-order transient circuits.
Week 3 ODE nodal analysis (eqs.) HW 4 Beginning of 4th week Write the system of nodal analysis ODEs for first, second and higher-order transient circuits (zero and non-zero initial conditions).
Week 4 ODE mesh analysis (eqs.) HW 5 Beginning of 4th week Write the system of mesh analysis ODEs for first, second and higher-order transient circuits (zero and non-zero initial conditions).
Week 5 Laplace transforms HW 6 Beginning of 6th week Compute the direct Laplace transform of various functions.
Week 5 Inverse Laplace transforms HW 7 Beginning of 6th week Compute the inverse Laplace transform of various functions.
Week 6 Review session or optional midterm
Week 7 Laplace impedance simplification HW 8 Beginning of 7th week Transform a circuit to s-domain and compute its equivalent s-domain impedance.
Week 7 Laplace transform nodal analysis (num.) HW 9 End of 7th 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 8 Laplace transform mesh analysis (num.) HW 10 End of 8th 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 8 Laplace analysis (num.) HW 11 Beginning of 9th week Source transformations, Norton/Thévenin equivalent circuits and superposition in the s-domain (zero initial conditions).
Week 9 Bode plots HW 12 Beginning of 10th week Derive transfer function from a Bode magnitude plot and draw the Bode magnitude plot of a transfer function.
Week 9 Two-port networks HW 13 Beginning of 10th week Compute y, z, h, and t parameters of DC and AC two-port networks.
Week 10 Final exam