University of Michigan
Physics 340, Fall 2002
Oct. 31, 2003
Assignment 7: Electromagnetic Waves
Due: Wednesday Nov. 12 5pm in Amidei mailbox
Required reading
:
Hirose Chap 9, French (yes) p.2937, polarization link on Web
1.
A parallel wire transmission line consists of two parallel wires each of radius a. The distance
between the wires is b. (See Hirose, p 151)
a.
Assuming that
b
a
?
show that the capacitance and inductance per unit length are
given by
(
29
(
29
0
0
F/m
ln
L
ln
H/m
C
b a
b a
pe
m
p
;
;
b.
Using the above, calculate the phase velocity of a current or voltage pulse on the line.
c.
Find the characteristic impedance Z. What are its units?
d.
A structure of this type is made from No. 12 wires (diameter 0.0808 inches), spaced
0.5 inches apart. Calculate C, L, v, and Z.
2.
A plane loop of wire of 10 turns with area = 14 sq. cm. is perpendicular to a periodic
magnetic field
0.5Tsin(60
) (T = Tesla)
B
t
p
=
. Find and sketch the induced EMF in the wire
as a function of time. Find the period of the voltage oscillation.
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 Fall '08
 Clarke
 Heat, Polarization, Magnetic Field, Wavelength

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