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) Use the Stokes theorem to calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17.
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) Use the Stokes theorem to calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17.
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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) Use the Stokes theorem to calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17.
A
Flux(B) =
=
D
B
FIGURE 17
A = (8,0,1), B = (8,5, 0), C = (0,5, 0),
D = (0, 0, 1), F = (8,0,0)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3af7361a-d255-4662-917d-2558b30f893a%2F54f90d37-fb6e-404a-a738-712426389dac%2Fqfjwj_processed.png&w=3840&q=75)
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) Use the Stokes theorem to calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17.
A
Flux(B) =
=
D
B
FIGURE 17
A = (8,0,1), B = (8,5, 0), C = (0,5, 0),
D = (0, 0, 1), F = (8,0,0)
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