ECE 206: Spring 2013 - Problem Set 6: Chapter 8
Surfaces, Surface Area, Surface Integrals
Instructor: Andrew Heunis
1. A scalar eld is given by
f (x, y, z ) = x + y + z,
and the surface S is the part of the plane
x + 2y + 4z = 8,
in the positive orthant (
ECE 206: Spring 2013 - Problem Set 8: Chapters 10 and 11
Laws of Electricity and Magnetism, Maxwells Equations
Instructor:Andrew Heunis
1. A static electric eld E (x, y, z ) is caused by a static charge density scalar eld (x, y, z ). The
electric eld E ha
Table of Basic Integrals1
(1)
(2)
(3)
1
xn+1 , n = 1
n+1
(11)
sec2 x dx = tan x
1
dx = ln |x|
x
xn dx =
(12)
sec x tan x dx = sec x
u dv = uv
v du
(13)
(4)
ax dx =
1x
a
ln a
a
1
x+a
dx = ln
2
x
2
xa
a2
(15)
(6)
a
x
dx = tan1
2
+x
a
ex dx = ex
(14)
(5)
a2
Meters, Power Supplies, and Generators
1. Meters
Generally analog meters respond to the average of the signal being measured. This is due to the
mechanical mass of the pointer and the RC response time of the electronics. Since the average of
most AC signa
University of Waterloo
Department of Electrical and Computer Engineering
ECE 242 - Electronic Circuits II
Midterm Exam - Spring 2012
Instructor: Bosco H. Leung
June 15, 2012
1. This is a CLOSED book examination. Programmable calculators are not allowed.
2
ECE 206: Spring 2013 - Problem Set 4: Chapter 6
Conservative Vector Fields
Instructor: Andrew Heunis
1. A vector eld is dened by
k
F (x, y, z ) = 3x2i + (2xz y )j + zk .
Evaluate the line integral
F dr when
(a) Curve is dened by
x2 = 4y
3x3 = 8z,
for all
Advanced Calculus 2 for Electrical Engineers
MATH-212/ECE-206
SPRING TERM, 2013
Andrew J. Heunis c
Department of Electrical and Computer Engineering
University of Waterloo
Waterloo
Ontario N2L 3G1
August 1, 2013
Contents
1 Goals and Preview
3
2 Multidimen
ECE 206: Spring 2013 - Problem Set 5: Chapter 7
Greens Theorem in the Plane
Instructor: Andrew Heunis
1. A vector eld F is given by
F (x, y, z ) = sin(y )i + (x cos(y )j ,
and is the perimeter (in a counter clockwise direction) of the region D which is a
Laplaces Equation in
2 and 3 Dimensions
Douglas Wilhelm Harder, M.Math. LEL
Department of Electrical and Computer
Engineering
University of Waterloo
Waterloo, Ontario, Canada
ece.uwaterloo.ca
[email protected]
2012 by Douglas Wilhelm Harder. S
University of Waterloo
Faculty of Engineering
Department of Electrical and Computer Engineering
ECE 206
Laboratory 1
FALL 2011
Prepared by
Surname, Legal Given Name(s)
UW Student ID Number: 2NNNNNNN
UW User ID: uwuserid @uwaterloo.ca
Prepared by
Surname,
University of Waterloo
Faculty of Engineering
Department of Electrical and Computer Engineering
ECE 206/NE 217
Laboratory 3
Prepared by
Surname, Legal Given Name(s)
UW Student ID Number: 2NNNNNNN
UW User ID: uwuserid @uwaterloo.ca
Prepared by
Surname, Leg
University of Waterloo
Faculty of Engineering
Department of Electrical and Computer Engineering
ECE 206/NE 217
Laboratory 4
Prepared by
Surname, Legal Given Name(s)
UW Student ID Number: 2NNNNNNN
UW User ID: uwuserid @uwaterloo.ca
Prepared by
Surname, Leg
University of Waterloo
Faculty of Engineering
Department of Electrical and Computer Engineering
ECE 206/NE 217
Laboratory 2
Prepared by
Surname, Legal Given Name(s)
UW Student ID Number: 2NNNNNNN
UW User ID: uwuserid @uwaterloo.ca
Prepared by
Surname, Leg
Scientists use their knowledge to help them
understand the real world, but they also
routinely check their ideas / questions
against what they find in reality by
gathering information.
Sometimes, reality is quickly and easily
checked, and the conclusions
ECE 200B: ECE Practice
Electrical & Computer Engineering
Professor Bosco Leung
Electrical & Computer Engineering
University of Waterloo
Waterloo, ON.
Introduction
Purpose: Class professor acts as a liaison
between your class and the ECE
department. I am