1
ECE604
Homework 4
Out:
Tuesday, February 3, 2004 (Session 7)
Due:
Tuesday, February 10, 2004 (Session 9)
[Students with tape delays:
due according to session number]
Problems numbers are from the text by Ramo, Whinnery and Van Duzer (3
rd
edition, 1994).
1)
7.12h
Give an expression for the added capacitance per unit length AND evaluate
numerically.
Hints:
a) Use a superposition solution
1
2
Φ = Φ + Φ
, where
1
o
V y / a
Φ =
is the solution
for the parallel plate capacitor without the extra conducting strip.
b) In solving for
2
Φ
, solve separately for
x
0
≥
and
x
0
≤
.
Once you have the
solution for
x
0
≥
, the solution for
x
0
≤
follows almost by inspection.
c) Use your solution for
2
Φ
in computing the added capacitance.
2)
2.5
3)
2.6b
4)
2.9c
5)
2.9d
6)
2.12c
7)
A solid dielectric cylinder of radius a and length 2L is uniformly polarized with
polarization
P
, where
P
is directed axially (i.e.
ˆ
pz
=
P
; where p = const.).
Determine the electric field,

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