ECE 20002 - Electrical Engineering Fundamentals IILecture Hours: 3 Credits: 3
Normally Offered: Each Fall, Spring, Summer
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]).
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): None.
- Notes Provided by instructor.
Learning Outcomes:A student who successfully fulfills the course requirements will have demonstrated an ability to:
- analyze 2nd order linear circuits with sources and/or passive elements. 
- compute responses of linear circuits with and without initial conditions via one-sided Laplace transform techniques. 
- compute responses to linear circuits using transfer function and convolution techniques. 
- analyze and design transistor amplifiers at low, mid and high frequencies. 
- work with transmission line models to analyze circuits at high-frequency. 
- use a CAD tool (e.g., SPICE) in circuit analysis and design. 
|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):