Electrical Engineering Department ميحرلا نمحرلا الله مسب

‫بسم هللا الرحمن الرحيم‬
King Fahd University of Petroleum and Minerals
Electrical Engineering Department
First Exam EE 340
Sunday April 1st, 2007
Duration: 1 hour and 30 min.
Name:
ID#:
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Problem #1
Problem #2
Problem #3
TOTAL /30
Note: 0.5 point for clarity and presentation on each problem. Total 1.5/30.
Good Luck
Problem I: (9.5 + 0.5 points )
A uniform line charge  L  2nC / m occurs on part of the circle of radius a = 0.1 m
placed on the z = 0 plane and covering the quadrants   / 4     / 4 and

3 / 4    5 / 4 . Find E at (0, 0, h).
_____________________________
Problem II: (9.5 + 0.5) points)
Three cylindrical sheets of charges are located at follow:
 Sheet 1 has  S 1  5 nC / m 2 is located at   1,

Sheet 2 has  S 2  3 nC / m 2 is located at   3,
 Sheet 3 has  S 3   0 nC / m 2 is located at   5,
Find the value of  0 that makes the electric field equal to zero for  &gt; 5.
_____________________________
Problem III: (9.5 + 0.5 points)
The electric flux density in free space is given by:



D   sin  a    cos  a
1. Find the total charge enclosed by the cylinder defined by   2, and 0  z  4 .
2. Calculate the electric energy stored in the cylinder defined by   4, 0  z  10 .
3. Calculate the potential difference between A (4, 3, 2) and B (3, 4, 2).
Hint: Be clear in your solution, and state what you are doing, and how you are going to
solve the problem.