ECE 20002 - Electrical Engineering Fundamentals II
Note:
A minimum grade of C is required in this course for all ECE students to progress to ECE 30100.
Course Details
Lecture Hours: 3 Credits: 3
Counts as:
- EE Core
- CMPE Core
Normally Offered:
Each Fall, Spring, Summer
Campus/Online:
On-campus and online
Requisites:
ECE 20001 Minimum Grade of C and (MA 26200 [may be taken concurrently] or MA 26600 [may be taken concurrently] or MA 366 [may be taken concurrently]).
Catalog Description:
Continuation of Electrical and Computer Engineering Fundamentals I. The course addresses mathematical and computational foundations of circuit analysis (differential equations, Laplace Transform techniques) with a focus on application to linear circuits having variable behavior as a function of frequency, with emphasis on filtering. Variable frequency behavior is further considered for applications of electronic components through single-transistor and operational amplifiers. The course ends with consideration of how circuits behave and may be modeled for analysis at high frequencies.
Required Text(s):
- Electrical Engineering Fundamentals II: Purdue University Lectures from ECE 20002 , 3rd Edition , Talavage and Terlep , 2020 , ISBN No. 978-1098760045
Recommended Text(s):
None.
Learning Outcomes:
- analyze 2nd order linear circuits with sources and/or passive elements. [1]
- compute responses of linear circuits with and without initial conditions via one-sided Laplace transform techniques. [1]
- compute responses to linear circuits using transfer function and convolution techniques. [1]
- analyze and design transistor amplifiers at low, mid and high frequencies. [1]
- work with transmission line models to analyze circuits at high-frequency. [1]
- use a CAD tool (e.g., SPICE) in circuit analysis and design. [1]
Lecture Outline:
| Week | Topic |
|---|---|
| 1 | OpAmps - operation (gain, input/output resistance, common-mode); Field-Effect Transistor devices; DC review; Current mirror example; FET small signal models; Active loads |
| 2 | Common Source amplifier (mid-frequency behavior); Common Drain and Common Gate amplifiers (mid-frequency behavior); Single-stage amplifier time constants for low-/high-freq response |
| 3 | OpAmp model using FETs; ODE models for circuits and the solutions thereof; RC circuits with and without initial conditions |
| 4 | RL circuits with and without initial conditions; LC circuits with and without initial conditions; RLC circuits with and without initial conditions |
| 5 | Modeling of switching in circuits using initial conditions; Impulse response, h(t), from the step response; Circuit modeling using h(t); Intro to convolution |
| 6 | Convolution integral and properties; Convolution examples; Graphical interpretation; Convolution algebra; Convolution examples |
| 7 | Laplace Transform definition and basic pairs; More basic Laplace Transform pairs; Duality with time-domain; Properties of the Laplace Transform |
| 8 | Inverse Laplace Transform via partial fraction expansion; Impedance; Admittance; LT solution of ODEs for "at rest" circuits; Incorporation of initial conditions in LT analysis |
| 9 | Transfer function, H(s); System analysis in frequency and time domains; Response decomposition, steady-state analysis |
| 10 | Complex plane concepts, pole/zero plots, stability; Frequency response; Frequency and magnitude scaling |
| 11 | Resonance; 2nd-order systems; 2nd-order systems; Passive BPF; Passive LPF |
| 12 | Passive LPF Design; Passive HPF, HPF Design; Implications of duality for passive filters; Passive filter examples |
| 13 | Active LPF/HPF with real poles; Duality in active filters; Active LPF/HPF with complex poles; Active filter examples; Non-ideal components; Wave equation in conductors |
| 14 | Frequency dependence of transmission line impedance, velocity; Frequency dependence of reflection; Effect on input impedance |
Engineering Design Consideration(s):
- Economic
- Environmental
Assessment Method:
Outcomes will be assessed through exams, quizzes, homework and projects