WEBER'S LECTURES
63
37.
H. F.
Weber's Lectures
on
Physics
[ca.
December 1897-ca. June
1898][1]
Vorlesungen über Physik
von
Weber.
Für
eine
auf
die
Temperatur
T erhitzte
Kugel
von
homogenem
Material,
deren Oberfläche
von
der Zeit
z
=
0
an
konstant
auf der
Temperatur t
=
0
gehalten wird,
wurde als Gesetz der
Tempera-
turverteilung
gefunden:[2]
ADS.
This document
is
written
in two
bound
notebooks. The
first,
17.5
x
21.5
cm,
consists
of
lined
white
paper.
Each
page
is
folded
to
create
an
outer
margin
of
5
cm.
The
second,
17
x
21.5
cm,
contains
squared
white
paper.
A
left
margin
of three
to five squares is
main-
tained
on
each
page.
A
number of
pages
toward the end of this notebook have been
cut
out.
The
manuscript
is
written in
ink,
with
occa-
sional additions and
changes in pencil
or
in
another
ink. Such
emendations
are
indicated
in
footnotes.
Marginal
notes in
the
original
are
printed
at
the
corresponding place
in
the
margin; diagrams
from the
original
are
usually
placed
within the
printed
text.
Some calculations written
on
the inside
back
cover
of
the
second notebook
are
printed
in note
197.
Three
pages
of research
notes,
dated
to
a
later
period,
will be
printed
in Vol-
ume 2.
Thirteen
pages
of unrelated
notes
on
mathematics,
written at the end of the second
notebook,
and
a
loose sheet of unrelated
notes
enclosed
in
the
first
notebook,
are
omitted.
[1]
Einstein's
notes
are
dated
on
the basis of
the
assumption
that
they
start
with material
discussed
about the
middle
of
the winter
se-
mester
of
1897-1898,
and end
with material
discussed about
one
month before the end of
the
summer
semester
of
1898.
This
assumption
is suggested
by a
comparison
of
Einstein's
notes
with Teucher's
(see
editorial
note,
"Einstein
as a
Student of
Physics
and
His
Notes
on
H.
F.
Weber's
Course").
[2] Teucher's
notes
indicate
that,
earlier
in
the
course,
Weber had derived the
following
solution
to
Fourier's heat
conduction
equa-
tion. The initial
temperature
T
is
now
denoted
by t0; c, p,
and
R
denote the
specific
heat,
density,
and radius of the
sphere, respectively,
and
r
is
the radial distance from
its center.
The heat
conductivity
K
is
defined
through
the
equation
dW
=
K
f(-dt/dn)dz.
f
is
the
area
through
which the
quantity
of heat dW
passes
during
the time interval
dz,
and
dt/dn is
the
gradient
of
the
temperature t
in
the
direction
normal
to
f.
lirr
2RSffl R
1V2K
e Tk~pcz
it
r
2irr
2R
Sifl
R
4ir2
__
2
r
R2
3irr
2R
R
9ir2
K
+to
e
r2
- r2
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