Figure shows a rod resistive material. The resistance per unit length of the rod increases in the positive direction of the x axis. At any position x along the rod, the resistance d R of a narrow (differential) section of width dx is given by d R = 5.00x dx, where d R is in ohms and x is in meters. Figure b shows such a narrow section. You are to slice off a length of the rod between x = 0 and some position x = L and then connect that length to a battery with potential difference V = 5.0 V (Figure c). You want the current in the length to transfer energy to thermal energy at the rate of 200 W. At what position x = L should you cut therod?

(a) x (m) 1.0 dx () (c)