DOC.
51
333
(10)
S)1
=
c£'
,
©'
=
»fr
,
5 I
_
a(£'
,
(11)
(12)
where
e
=
dielectric
constant,
ß
=
permeability, and
a
=
electrical
conductivity
are
to be
regarded
as
known
functions of x', y', z', t'.
By
transforming (10) to
(12)
to
K by means
of inversion of
our
transformation
equations
(6)
to
(9),
one
obtains the relations
holding
for the
system K:
(10a)
(11a)
(12a)
€
•
V!
e
£
- -
©
y
c
z.
+
!
V
C
E
+
-
©
* c
y
j
®*
=
*
'
®,+!
^
£
Jy
+
-
c
D
z
©
- -
S
=
u
J5
-
D
z c
y
p
y.
0
5 0
=
,rBx
a:
c
p
s=
aß
S
- -
v
®
y
H
y
c
z.
5
=
aß
£
+
-
®
z
c
ym
[8]
If the velocity
of
the
matter
is
not
parallel
to the
X-axis, but is
determined
by
the
vector
o
instead,
one
obtains the vectorial relations
that
are
analogous to equations (10a)
to (12a):