Circuit Analysis I
The fundamentals of analysis of lumped linear time-invariant circuits; network theorems; operational amplifiers; first order circuits; DC analysis of diodes, BJT and FET circuits. [4-2*-1*]
4 credits
Course Description
This course is an introduction to circuit analysis. This is not a course on physics but on a mathematical abstraction (a model) used to represent a variety of engineering problems (one of which, of course, is the solution of physical electric and electronics circuits). This course assumes that the student has a working knowledge of ordinary linear differential equations, basic integral-differential calculus, a thorough knowledge of complex numbers arithmetic and representations, and the physics background that describes the basic electromagnetic entities and relationships.
The approach of the course is very dynamic, and relies heavily on computer software tools (Matlab, Maple, CircuitMaker 2000), and also relies on email and on a website. The use of any version of programmable graphic calculator with functionality similar to that of the Hewlett-Packard HP-48 series (which is nowadays mandatory for grade 12 students anyway), is advisable.
Course Topics
- Basic circuit variables
- Ohm’s Law
- Voltage and current sources
- Real source models (Thevenin/Helmholtz’s and Norton/Helmholtz’s).
- Parallel connection vs. series connection
- Kirchoff’s Laws: Voltage Law (KVL) and Current Law (KCL)
- Modified Nodal Analysis
- Voltage divider
- Superposition.
- Loop Analysis.
- The operational amplifier.
- The ‘p’ operator
- Inductors and Capacitors
- RC series, and RL series
Textbook
C. K Alexander and M. Sadiku, Fundamentals of Electric Circuits, McGraw-Hill, Fourth Edition, 2009 (ISBN: 0077263197 / 9780077263195)
Prerequisites: |
| MATH 101 – Integral Calculus with Applications |
| AND ONE of |
| PHYS 108 – Enriched Physics II |
| PHYS 118 – Electricity, Light and Radiation |
| PHYS 158 – Introductory Physics for Engineers II |
Corequisites: |
| ONE of |
| MATH 255 – Ordinary Differential Equations |
| MATH 256 – Differential Equations |
| MATH 265 – Linear Differential Equations |
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