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ECE 134
Introductory Field Theory
Fall 2010
Page 1 of 2
Reading Assignment:
Cheng: Chapter 7, 8.18.5
Cartoon Guide: Chapters 2324
Homework #8
Due:
Monday 29 November 2010
1)
It can be shown that the inductance of a length
l
of coaxial cable with a solid inner
conductor of radius
a
and a thin outer conductor of radius
b
is approximately
0
1
ln
24
b
L
a
μ
π
⎡⎤
⎛⎞
=+
⎜⎟
⎢⎥
⎝⎠
⎣⎦
l
Using this result, find the magnetostatic pressure on the outer conductor (force per
unit area) under normal operation where the outer conductor is the return path for the
current on the center conductor.
Is this force attractive or repulsive?
2)
Consider the transformer with the secondary terminated in a load resistance
L
R
as
shown.
This as a
real
transformer with a coupling coefficient
1
k
<
.
Assuming AC
excitation at a frequency
ω
, derive
the
frequencydependent
voltage
transformation ratio
21
()
/ ()
VV
ωω
in
terms of the turns ratio, coupling
coefficient, and mutual inductance
12
m
Lk
L
L
=
between the primary
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This note was uploaded on 12/04/2010 for the course ECE 134 taught by Professor York during the Fall '08 term at UCSB.
 Fall '08
 York

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