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O Calculate the flux of

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A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0, 0, b)] (a) Verify that A =Bxr is a vector potential for B, where r = (x, y, 0) (b) Calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17. F B FIGURE 17 A = (8,0,4), B (8,5,0), C = (0,5,0), D = (0,0,4), F = (8,0,0) Flux(B) = -40b
Transcribed Image Text:A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0, 0, b)] (a) Verify that A =Bxr is a vector potential for B, where r = (x, y, 0) (b) Calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17. F B FIGURE 17 A = (8,0,4), B (8,5,0), C = (0,5,0), D = (0,0,4), F = (8,0,0) Flux(B) = -40b
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