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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21229fc2-3a9c-499e-b78d-33d11a8692fe%2Fe052fc81-ca6a-475c-9101-d73a2b2bbbaf%2Fkkkg8hc_processed.jpeg&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) 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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