Given the current density J = − 104[sin(2x)e−2yax + cos(2x)e−2yay] kA/m2 (a) Find the total current crossing the plane y = 1 in the ay direction in the region 0<x<1, 0<z<2. (b) Find the total current leaving the region 0<x, y<1, 2<z<3 by integrating J • dS over the surface of the cube. (c) Repeat part (b), but use the divergence theorem.
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