114
DOC.
1
MECHANICS LECTURE NOTES
a)
Examples
The
Reciprocity
Laws
dH
d
fdH
a ~
Wa
+
dt\W;
dH
"
d2H
"
d2H
"
=
-
+
L
a
'Pv, +
I
5pa
^
dpa'acpv»Pva
dPa
d2H
dPt
dpb"
dpa'dpb
dpa"
1)
Pa
ei
Pb
e2
de^
de
Pa = i'l
Pi
= l2
^ ^
Equality
of
mutual
induction of
two circuits also with
algebraic sign
2)
Conductor
in
magnetic
field
P =p
pfc
=e
P'\
=
/" /"" =
dP
de
di'
dp"
=
0 That
one
equals
zero
has
the
consequence
that the other
one
also
equals zero.
[p. 115]
b) Reciprocity
laws
that
concern
velocities.
dP,
SPb
d2H
d2H
y_d_
dpadpb
+
dpbdqa'
+
v
dpv
V
d2H
\
,
v
d
7
Pv'
+
I
d2H
dp
a
dp dpv
\dPa
dp,
7
P
ft
d
(
d2H
dt
\dpa'dpb
If
one
constructs
the
corresponding equation
and
adds,
one
obtains
dP
c
dp'
+
dP'
d_
dt
d2H
d'
dp'7b,r
.
«