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GRADUATE
PROGRAM IN ELECTRICAL ENGINEERING Ð UFPE PGEE936
Ð ADVANCED ELECTROMAGNETICS 2021.01 Instructor:
Eduardo Fontana HOMEWORK
# 2 Ð 04/13/2021 COMPLETION
DEADLINE Ð 05/05/2021 Remarks: á
Homework must be
handwritten, and solved clearly and concisely. á
Clear reasoning should
be demonstrated in the solution development á
Homework comprises 1.
Make a sketch and describe each distribution below
and calculate the electric field vector by direct
integration on the distribution volume. (a)
In cylindrical coordinates, (b)
In cylindrical or rectangular coordinates (c)
In spherical coordinates
2.
Where possible, use Gauss's law to calculate the
electric flux density vector for the charge
distributions of the previous question. If this is
not possible, use symmetry operations and the
superposition principle, to determine which
components of D
are present and on which coordinates these
components depend. 3.
Make the detailed calculation of the potential and
electric field of the straight line of charge of
lecture #5. Obtain the E-field from the potential
function in the r >>
l regime. 4.
Make the detailed calculation of the potential and
electric field of the charged disk of lecture #5.
Obtain the E-field from the potential function in
the a
>> |z|
regime. 5.
Use the integral expression for the potential
function to determine the function inside and
outside of a sphere of radius a, having a
charge density given by 6.
Do the following problems of
Chapter 2 of ref.[2]: 2.18, 2.19, 2.20, 2.22, 2.24,
2.25, 2.26, 2.31. 7.
Determine the solution of Poisson's equation for the
potential, for the following distributions: (a)
The charge distribution of Question 5. (b)
A spherical surface of radius a with
constant charge surface density assuming that the
permittivities inside and outside are ε0
and ε,
respectively. 8.
Solve the following problems in Chapter 3 of ref.
[2]: 3.3, 3.4, 3.6, 3.7 and 3.8 References: [1]
J. D. Jackson, "Classical Electrodynamics" [2] Fontana, e-book,
"Eletromagnetismo Ð Parte 1" |
