Electric Circuit Theory

At the end of this course, students will be able to: 1. identify linear systems and represent those systems in schematic form; 2. apply Kirchhoff's current and voltage laws and Ohm's law to circuit problems; 3. simplify circuits using series and parallel equivalents and using Thevenin and Norton equivalents; 4. perform node and loop analyses and set these up in standard matrix format; 5. identify and model first and second order electric systems involving capacitors and inductors; 6. predict the transient behaviour of first and second order circuits. 7. analyse important electronic circuits (Amplifiers, Active Filters, and Oscillators). 8. use simulation software (SPICE); 9. Build/ make measurements, test and troubleshoot electronic circuits; and 10. design important electronic circuits (amplifiers, active filters, and oscillators).

Basic Concepts: Introduction, Systems of Units, Charge and Current, Voltage, Power and Energy, Circuit Elements. Basic Laws: Ohm’s Laws, Nodes, Branches, and Loops, Kirchhoff’s Laws, Series Resistors and Voltage Division, Parallel Resistors and Current Division, Wye-Delta Transformations. Methods of Analysis: Nodal Analysis, Nodal Analysis with Voltage Sources, Mesh Analysis, Mesh Analysis with Current Sources, Nodal and Mesh Analyses by Inspection, Nodal Versus Mesh Analysis. Circuit Theorems: Linearity Property, Superposition, Source Transformation, Thevenin’s Theorem, Norton’s Theorem, Derivations of Thevenin’s and Norton’s Theorems, Maximum Power Transfer. Operational Amplifiers: Operational Amplifiers, Ideal Op Amp, Inverting Amplifier, Noninverting Amplifier, Summing Amplifier, Difference Amplifier, Cascaded Op Amp Circuits, Op Amp Circuit Analysis. Capacitors and Inductors: Series and Parallel Capacitors, Inductors, Series and Parallel Inductors. First Order Circuits: The Source-free RC Circuit, The Source-free RL Circuit, Singularity Functions, Step Response of an RC Circuit, Step Response of an RL Circuit, First-order Op Amp Circuits. Second Order Circuits: Finding Initial and Final Values, The Source-Free Series RLC Circuit, The Source-Free Parallel RLC Circuit, Step Response of a Series RLC Circuit, Step Response of a Parallel Circuit, General Second-Order Circuits, Second-Order Op Amp Circuits: Sinusoidal steady-state analysis. AC circuit power analysis. Polyphase circuits. Magnetically coupled circuits; Complex frequency and Laplace transform; Circuit analysis and the s-Domain; Frequency response: Bode Diagram. Fourier circuit analysis.