HW8 -...

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Unformatted text preview: Physics
3123
­
Homework
8
(due
3/18/11)
 
 Griffiths
chapter
9:
 9.19
(6
points)
 
 1) Transmission
through
a
metal
foil
 
 A
plane
E&M
wave
(frequency
ω)
is
incident
normally
on
a
conducting
foil
of
 conductivity
σ
(dielectric
constant
ε,
magnetic
permeability
µ)
and
thickness
d.
The
 foil
is
thick
enough
that
multiple
reflections
can
be
neglected.

Find
the
transmission
 coefficient
through
the
foil,
that
is
the
ratio
of
the
(complex)
transmitted
field
 strength
and
the
incident
field
strength.
(6
points)
 
 
 2) Hollow
wave
guides
 
 Express
the
x­
and
the
y‐components
of
the
magnetic
field
in
a
waveguide
that
is
 translationally
invariant
in
the
z‐direction
in
terms
of
the
z‐components
of
the
 electric
and
the
magnetic
field.
Find
and
prove
a
differential
equation
for
the
z‐ compoment
of
the
magnetic
field
(Eq.
9
in
your
notes).
(6
points)
 
 
 
 ...
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