Figure 26-36a shows a rod of resistive material. The

Chapter , Problem 54

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Figure 26-36a shows a rod of 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 dR of a narrow (differential) section of width dx is given by dR ! 5.00x dx, where dR is in ohms and x is in meters. Figure 26-36b 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 (Fig. 26- 36c). 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 the rod?