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49. (a) The derivative of
P
(
E
) is
−
+
F
H
G
I
K
J
=
−
+
F
H
G
I
K
J
−
−
−
−
1
1
1
1
1
22
e
d
dE
e
e
kT
e
EE k
T
T
T
T
F
F
F
F
()
/
/
/
/
.
c
h
c
h
Evaluating this at
E = E
F
we readily obtain the desired result.
(b) The equation of a line may be written
y = m
(
x –
x
o
) where
m
is the slope (here: equal
to – 1/
kT
, from part (a)) and
x
o
is the
x
intercept (which is what we are asked to solve for).
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This note was uploaded on 05/19/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics

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