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and along with (1.114) we get
curl
V
G ( M
,
M v ) j ( M v ) dV
M
V
I ( M )
=
(1
.
116)
0
M
V
.
Finally
curl
V
G ( M
,
M v ) curl j ( M v ) dV
M
V
j s ( M )
=
(1
.
117)
0
M
V
or
curl curl
V
G ( M
,
M v ) j ( M v ) dV
M
V
j s ( M )
=
(1
.
118)
0
M
V
.
Thus, we have separated the electric excess current into potential and solenoidal
parts, j p and j s . Each part of the excess current is responsible for its own anomalous
field.
Potential part of the electric excess current consists of currents that close upon
the excess charges arising at inhomogeneities. It excites the anomalous field E e
H e
,
of the electric type described by equations
curl H e
= N E e
+
j p
(1
.
119)
curl E e
=
o H e
.
i
At low frequencies these galvanic effects are of static nature. They follow the
direct-current laws.
Solenoidal part of the excess electric current consists of currents that close upon
themselves. It excites the anomalous field E m
H m
,
of the magnetic type described
by equations
curl H m
= N E m
+
j s = N E m
+
curl I
(1
.
120)
curl E m
=
o H m
,
i
where I is the magnetization of the equivalent magnetic body. Eliminating from H m
the contribution of the electric excess current, we get a magnetic field H m
H m
=
I .
Substitution of H m
into (1.120) gives
curl H m
= N E m
(1
.
121)
o H m
curl E m
j s
=
i
+
,
where j s
o I is the density of excess fictitious magnetic current equivalent
to the excess electric current. Note that the magnetic excess current is proportional
=
i
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