Question: Given the current density J = 10 4 [sin(2x)e 2y a x + cos(2x)e 2y a y ] kA/m 2 (a) Find the total current

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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