XVII
283
FUNDAMENTAL EQUATIONS OF ELECTROMAGNETICS
corrected L, and form the similarly corrected components
M₂, N.; then these forces may be represented by the system
L₂ = AǝV₂2
LA
aw
Əz
dy
M, A
=
дх Əz
2√2+
+
дх dy
aw
2
= 0
(5),
ละ
N₂ = A
A(?U, –?Z),
where we have put
=
1
1
U, - U₁ — — A' dŪ,, V, - v, —— A² de v₁,
4π dt2
2
W₂ = W₁
1
1,
-
=
1 d2
-
A2
4π dt2
A2 W, .
4π dt2
1.
1,
From what precedes we may at once conclude that the electro-
motive forces produced by a variation of the current-system no
longer have exactly the form (2), but have these corrected
values
40,
2
X2
=
-
A2
>
dt
12
=
-
- A²
dV,
dt
2
Z2
=
-
- A2
dW2
dt
(6).
Exactly similar reasoning compels us to correct the actions of
magnetic systems presented by the equations (3) and (4).
The results may be represented by the following sample
equations
X₂ = A
etc.
(7),
dy
Əz
L₂ = — A²
-
etc.
(8),
dt
P₂ = P₁
where
-
1 d2
A2 P₁, etc.
4π dt2
If we wish to represent the forces by which the corrected
equations (5) and (7) differ from the usually accepted ones (1)