Question

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 x=0 and x=L. The material obeys Ohm's law, and its resistivity varies along the rod according to ?(x)=?0exp(?x/L). The end of the rod at x=0 is at a potential V0 greater than the end at x=L.

1) Graph the function ?(x) for values of x between x=0 and x=L.

2)Graph the function E(x) for values of x between x=0 and x=L

3) Graph the function V0(x) for values of x between x=0 and x=L.

R =	(?0L/A)(1?e?1)

I =	V0A/(?0L(1?e?1))

E(x) =

(V0e^?x/L)/(L(1?e?1))

Answer 1