The resistivity of a semiconductor can be modi- fied by
Chapter 25, Problem 25.87(choose chapter or problem)
The resistivity of a semiconductor can be modified by adding different amounts of impurities. A rod of semiconducting material of length L and cross-sectional area A lies along the x-axis between and
. The material obeys Ohm's law, and its resistivity varies along the rod according to
exp
. The end of the rod at
is at a potential
greater than the end at
.
(a) Find the total resistance of the rod and the current in the rod.
(b) Find the electric-field magnitude in the rod as a function of x.
(c) Find the electric potential in the rod as a function of
.
(d) Graph the functions of ,
, and
for values of
between
and
.
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