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. B FIGURE 17 A = (5,0,6), B = (5,4,0), C = (0,4,0), D= (0,0,6), F = (5,0,0) Flux(B) =
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. B FIGURE 17 A = (5,0,6), B = (5,4,0), C = (0,4,0), D= (0,0,6), F = (5,0,0) Flux(B) =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 =
B x r 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.
F
A = (5,0,6), B=(5,4,0), C = (0,4,0),
D = (0,0,6), F = (5,0,0)
Flux (B) =
B
FIGURE 17](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34b405ee-de8e-44e4-9e9f-2a9724b6da82%2Faae9e24d-a171-45ee-8ca2-d4c7d3b0b24c%2Frwrqwz_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 =
B x r 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.
F
A = (5,0,6), B=(5,4,0), C = (0,4,0),
D = (0,0,6), F = (5,0,0)
Flux (B) =
B
FIGURE 17
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