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 rho(x)=rho0exp(−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 rho(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. Part A
Find the total resistance of the rod.
Express your answer in terms of the given quantities and appropriate constants. Part B
Find the current in the rod.