12. The resistivity of a semiconductor can be modified by adding differentamounts of impurities. A rod of semiconducting material of length Land 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 rodaccording to p(x) = PooExp(-x/L)The end of the rod at is at apotential greater than the end at x=0 is at a potential Vo greater thanthe end x=L. (a) Find the total resistance of the rod and the current inthe rod. (b) Find the electric-field magnitude in the rod as a functionof x. (c) Find the electric potential in the rod as a function of x. (d)Graph the functionsp(x), E (x) and V(x), for values of x between x =0 and x = L

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