A metal bar has rectangular cross section 5.0 cm by 10 cm, as shown in Fig. 24.18. The bar has a nonuniform conductivity, and as a result the current density increases linearly from zero at the bottom to 0.10 A/cm² at the top. Find the total current in the bar.

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5.0 cm J= 0.10 A/cm 10 cm J = 0 FIGURE 24.18 Problem 63