# ECE 20002 - Electrical Engineering Fundamentals II

Lecture Hours: 3 Credits: 3

Counts as:
CMPE Core
EE Core

Normally Offered: Each Fall, Spring, Summer

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): None.

Recommended Text(s):
1. Notes Provided by instructor.

Learning Outcomes:

A student who successfully fulfills the course requirements will have demonstrated an ability to:
1. analyze 2nd order linear circuits with sources and/or passive elements. 
2. compute responses of linear circuits with and without initial conditions via one-sided Laplace transform techniques. 
3. compute responses to linear circuits using transfer function and convolution techniques. 
4. analyze and design transistor amplifiers at low, mid and high frequencies. 
5. work with transmission line models to analyze circuits at high-frequency. 
6. use a CAD tool (e.g., SPICE) in circuit analysis and design. 

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