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Course: EEL 3470, Spring 2012School: UCF
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of Department Electrical and Computer Engineering EEL 3470 Electromagnetic Fields Homework Set No. 3 Please turn in your answers, MatLab files and results. Each group should turn in ONLY one set of homework. Print this page and write your answers. After that, attach your MatLab files and results. Names: __________________ ___________________ ___________________ Problem 1. A line charge is distributed on an...
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of Department Electrical and Computer Engineering
EEL 3470 Electromagnetic Fields
Homework Set No. 3
Please turn in your answers, MatLab files and results.
Each group should turn in ONLY one set of homework.
Print this page and write your answers. After that, attach your MatLab files and results.
Names: __________________
___________________
___________________
Problem 1. A line charge is distributed on an elliptical ring which is located in the x = -1
plane (parallel to yoz plane). The elliptical equation on x = - 1 plane is given
1 . The line charge density is defined as
4
. Let a =
as
1, b = 0.5, find potential on yoz plane defined by [y,z] = meshgrid(-2:0.5;2, 2:0.5:2) and plot using contour. After that, numerically find electric field
using MatLab function gradient and quiver plot it. Compare your results
with those from Hw3_P4 (solution and m file are posted).
(Note, you can let
a cos ,
sin
cos
.)
sin
so that
Answer/Figures (you can attach after this page):
Problem 2. For the charge surface distribution in Lonngren 2.6.5, find potential at point
[2 3 -4] from this surface charge.
Answer:
Problem 3. Electric potential V in free space is given as:
3 cos
Find:
(1) Electric field E and displacement D;
(2) Volume charge density ;
(3) Total charge within spherical volume defined by:
1
6,
25
80 ,
10
85
Note: based on Gausss law, the problem can be solved by either
(a) Evaluate the closed form integral
(b) Calculate using
over the closed region.
.
Answer: (1)
(2)
(3)
Problem 4. A parallel plate capacitor is filled with a nonuniform dielectric characterized
by r = 3 + 3x , where x is the distance from one plate. If the area of each
plate S and the separation between the two plates is d, find the capacitance C.
Answer :
Problem 5. (1) Lonngren 2.7.2;
(2) Lonngren 2.8.7;
Answer: (1)
(2)
Problem 6. Assume that there are two concentric spheres with radii
. The
3 3 . Find the capacitance
dielectric distribution is given as:
between these two spheres.
Answer:
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