ECE259
Winter 2017
ECE259: Electromagnetism
Instructor: Professor Piero Triverio
Course objectives
Electric and magnetic fields are not only involved in many physical phenomena (strength of materials, bioelectricity, lightning etc.), but they are also und
ECE259
The Edward S. Rogers Sr. Department
" of Electrical 81. Computer Engineering
UNIVERSITY OF TORONTO
ECE259: Electromagnetism
Final Exam - Tuesday April 28, 2015
Instructors: Piero Triverio (LECO1), Costas Sarris (LEC02)
Last name: .
First name: .
Winter 2014 ECE259
Question 1
Consider the spherical capacitor shown in the gure below, which is made by two perfectly conducting spheres
(shown in black) of radii a and c. The inner dielectric layer is made from mica (5,1 = 5.4) while the outer layer
_
ECE259
Homework Set 1 Solutions
Objectives
Study field calculation with Coulomb and Gauss law.
Problems
1. Three point charges Q=-1 nC are placed at three vertices (,0,0), (0,0) and (0,0,) of a cube with =1
m. Find the electric field intensity vector at (
Final Exam ECE259 Winter 2013 p. 2/16
Question 1 [25 pts]
A. A lightning strike deposits, at t=O, total charge Q=l mC uniformly Within the
volume of a lossy dielectric sphere With 8:12 80, 6:10 S/m and radius oc=0.lm (
0 2:8.854X1012H/m).
1. At t=O, d
ECE259 Problem Set 6
Electric Currents
Conceptual question 3-10
[Q3-10]
Excess volume charge in a lossy dielectric. If a capacitor with an imperfect dielectric is connected to a
time-invariant voltage source, an excess volume charge may be accumulated in
1
2
1
2
(D) V1 < V2 and E1 < E2 .
(E) V1 > V2 and E1 > E2 .
QUESTION 1.28 Force on a point charge above a conducting plane. A
point charge Q is situated in air at a height h above a grounded conducting plane.
Relative to the plane, the electric force on t
ECE259
Homework Set 2
Objectives
Practice calculating the electric field E and electrostatic potential due to various charge distributions.
Problems
1. The electrostatic potential in a region is a function of a single rectangular coordinate , () and is
sh
ECE259
Homework Set 3
Objectives
Study of electric fields in the presence of perfect conductor and dielectric media.
Study of boundary conditions.
Problems
1. A point charge 2 is placed at the center of an air-filled spherical metallic (perfectly conduc
ECE259
Homework Set 1
Objectives
Study field calculation with Coulomb and Gauss law.
Problems
1. Three point charges Q=-1 nC are placed at three vertices (,0,0), (0,0) and (0,0,) of a cube with =1
m. Find the electric field intensity vector at (a) the coo
Midterm Exam ECE 259
Question 1 [25 pts]
A. An innite charged plane has a circular aperture of radius DC, as shown in the
gure below.
1. Assuming a uniform surface positive charge distribution pg on the charged plane,
determine the electric eld at a point
ECE259
Homework Set 1 Solutions
Objectives
Study field calculation with Coulomb and Gauss law.
Problems
1. Three point charges Q=-1 nC are placed at three vertices (,0,0), (0,0) and (0,0,) of a cube with =1
m. Find the electric field intensity vector at (
(C) V1 = V2 and E1 > E2 .
(D) V1 < V2 and E1 < E2 .
(E) V1 > V2 and E1 > E2 .
QUESTION 1.28 Force on a point charge above a conducting plane. A
point charge Q is situated in air at a height h above a grounded conducting plane.
Relative to the plane, the e
ECE259 Problem Set 4
Capacitors and electric energy
Conceptual question 2-10
[Q2-10]
Change of voltage due to a change of flux density. The voltage between the terminals of a charged
capacitor with a linear dielectric equals . If the electric flux densit
ECE259 Problem Set 2
Potential, voltage, work
Conceptual question 1-7
[Q1-7]
Electric potential at a point in a uniform electric field. Consider a region with a uniform electrostatic field
of intensity E, as shown in Fig. Q1.6. If the electric scalar pot
ECE259 Problem Set 4
Capacitors and electric energy
Conceptual question 2-10
[Q2-10]
Change of voltage due to a change of flux density. The voltage between the terminals of a charged
capacitor with a linear dielectric equals . If the electric flux densit