This preview shows page 1. Sign up to view the full content.
EE1; Homework 4: DUE MAY 7TH THURSDAY 5 PM
(THERE IS A COLLECTION BOX NEAR MARIKO WALTON’S CUBICLE IN 66127 ENGR IV
)
1)
Given the potential field,
2
1000
()
(4
)
xz
VV
x
=
+
.
a.
Find
D
G
at the surface
0.
z
=
b.
Show that the
0
z
=
surface is an equipotential surface.
c.
Assume that the
0
z
=
surface is a conductor and find the total charge on
that portion of the conductor defined by
02
,
30
.
xy
<
<−
<
<
2)
A coaxial conductor has radii
0.8
am
m
=
,
3
bm
m
=
, and a polystyrene dielectric
for which
2.56
r
ε
=
.
If
2
2
ˆ
nC
Pr
m
r
⎛⎞
=
⎜⎟
⎝⎠
G
in the dielectric, find:
a.
and
DE
GG
as functions of
r
b.
Find
V
ab
and
χ
e
.
3)
Dielectric breakdown occurs in a material whenever the magnitude of the field E
exceeds the dielectric strength anywhere in that material. In the coaxial capacitor
of inner and outer radius of a and b in centimeter,
a.
At what value of
r
is 
E
 maximum?
b.
What is the breakdown voltage if
a
= 1cm,
b
= 2cm, and the dielectric
material is mica,
ε
r
= 6? (The dielectric strength for mica is 200 x 10
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 06/06/2009 for the course EE EE 1 taught by Professor Ozcan during the Spring '09 term at UCLA.
 Spring '09
 Ozcan

Click to edit the document details