Physics 4321
Homework Set 3
September 8, 2008
Due: September 15, 2008
Recall that the units vectors parallel to x, y, and z are given by
x
^
,
y
^
,
and
z
^
, respectively.
1. (a) Calculate the electric field a distance
z
above the midpoint between
two equal charges,
q
, a distance
d
apart.
Check your result for
z
>>
d
.
(b)
Repeat the calculation when the charge at (
x
= 
d
/2 is replaced with a
negative charge 
q
.
2. (a) Calculate the electric field a distance
z
above the center of a square
loop of side
a
, which carries a uniform line charge
λ
.
(b) How would
your results differ if each segment of the square loop had a different
charge density?
3. A flat, circular disk in the xy plane carries a uniform charge density +
σ
from
φ
= 0 to 180 degrees and a uniform charge density 
from 180 to
360 degrees.
Calculate the electric field at a point
r
= z
z
^
.
Note: The x
axis lies along
= 0 degrees.
4. The electric field in some region is given by
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This note was uploaded on 02/20/2012 for the course PHYS 1101 taught by Professor Lowellwood during the Fall '10 term at University of Houston.
 Fall '10
 LOWELLWOOD
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