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28.
(a) The derivative of
P
(
E
)is
Ã
−
1
(
e
(
E
−
E
F
)
/kT
+1
)
2
!
d
dE
e
(
E
−
E
F
)
/kT
=
Ã
−
1
(
e
(
E
−
E
F
)
/kT
+1
)
2
!
1
kT
e
(
E
−
E
F
)
/kT
.
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). It is clear that
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics

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