A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., В %3 (0, 0, Б) 1 (a) Verify that A = Bxr is a vector potential for B, where r = (x, y, 0) (b) Use the Stokes theorem to calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17. D F B FIGURE 17 A = (6, 0, 1), В 3 (6, 4,0), С 3 (0, 4,0), D = (0,0, 1), F = (6,0,0) %3D Flux(B) 25.56b

A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., В %3 (0, 0, Б) 1 (a) Verify that A = Bxr is a vector potential for B, where r = (x, y, 0) (b) Use the Stokes theorem to calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17. D F B FIGURE 17 A = (6, 0, 1), В 3 (6, 4,0), С 3 (0, 4,0), D = (0,0, 1), F = (6,0,0) %3D Flux(B) 25.56b