332:222 Principles of Electrical Engineering II
Hourly Exam 1 Tuesday February 24, 2015
NAME OF THE STUDENT:
Student ID (last 4 digits) #:
Please make sure that there are 9 pages in this booklet excluding this cover page.
This is a closed-book closed-note
ECE 14:332:222 Spring 2013
Exam II (4/09/2013) Solutions
Total Points (100)
Prof. Hanafi
1) (20 points total):
2) (15 points total):
3) (20 points total):
4) (45 points total):
(a) (5 points) Determine the order of a low-pass Butterworth filter that has a
332:222 Principles of Electrical Engineering II
Hourly Exam 2 Tuesday March 31, 2015
NAME OF THE STUDENT:
Student ID (last 4 digits) #:
Please make sure that there are 9 pages in this booklet excluding this cover page.
This is a closed-book closed-notes e
Summary of Various Steps in Design
We are just learning principles of design. As such our design specications are not very
stringent or rigid. Because of this, some of the steps given below are very simple. However,
in practice, each step of design is a t
ECE 14:332:222 Spring 2013
Filter Design Project 4/09/2013
Due Date 4/26/2013
(Total points = 100)
Prof. Hanafi
This is a take home project. You are welcome to use any notes and/or books. However, you
are not permitted to have the assistance of any other
Principles of Electrical Engineering II
Transfer Function of a First-order HPF Op-Amp Circuit
This is a home-work problem which will be collected and graded.
Determine the transfer function of
the ideal Op-Amp circuit shown
Rf
where the output is Vo and t
The guy who invented a single wheel was an idiot
The guy who put four wheels together to form a cart was a genius
Design for a desired purpose is the name of the game
Analysis is the backbone of design
Frequency Sensitive Circuits Filters
There are four d
Name in Capital letters:
last four digits of your RUID:
Consider the given circuit. Select as many Node Voltages as necessary. Write down as many equations
as necessary to determine all the node variables. You do not need to solve or even simplify the equ
Name in Capital letters:
last four digits of your RUID:
Problem: The circuit shown was in DC steady state with two switches one switch open and the other
closed. The switches then undergo a change at t = 0 (the opened switch is closed and the closed switc
State Equations Some Circuits
Let the current through an inductance be i and the voltage across a capacitance be v. These are the
energy storing variables in a circuit,
1
Energy stored in an inductance = 2 Li2
1
Energy stored in a capacitance = 2 Cv 2 .
I
1
Singularity Functions Unit Step and Unit Impulse
Functions
Often we encounter signals that have discontinuities or jumps at some time points. This
is especially true when some physical signals are approximated to be ideal signals, or when
a signal is a
Summary of Important Info necessary for Switched Circuits
First Order Dierential Equation with constant input: Consider
dx
+ ax = k = constant.
dt
Let x(t0) be the value of x(t) at t = t0. Then, the solution of the above equation is
k (tt0 )/
+
e
a
Transi
Two-Ports
Single-Port: We have analyzed so far what can be termed as circuits containing elements with single ports
(a port implies a pair of terminals). Resistance, Inductance, and Capacitance are elements with two terminals
and hence are single ports. A
Use of Laplace Transforms in Circuit Analysis Basics
Let us rst emphasize the concept of impedance in Laplace domain and in Phasor domain.
All electrical engineering signals exist in time domain where time t is the independent variable. For just
mathemati
Three Phase Questions
What is three phase? Three dierent sources, each source has the same amplitude but their phase
angles dier from each other by 120 degrees. If we could generate a single phase, by appropriate
windings, we can generate three phase sou
332:222 Principles of Electrical Engineering II
The home-work problem will be collected and graded.
A number of hints are given to guide you through each step of the problem.
Switched RLC Circuit Analysis
6.25
NAME OF THE STUDENT:
b
Part a: The circuit of
Re-writing complex exponentials into trigonometric functions
Let us rst look at some fundamentals.
A complex number can be written in polar form or rectangular form.
Rectangular form (in rectangular coordinates x and y).
Polar form as M , that is in pol
Students name in capital letters:
332:222 Principles of Electrical Engineering II
This is a home-work problem which will be collected and graded.
Assume that at t = 0, the initial capacitance voltage is zero. Determine the capacitance voltage vc
in Fig. 2
School of Engineering
Department of Electrical and Computer Engineering
332:222
Principles of Electrical Engineering II 221 Prereq Quiz
(Castor and Emma Live On! cue evil laugh)
Spring 2013
Just you, your pen/pencil and your 221 Q3 Cheat Sheets
1. Innite