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A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0, 0, b) 1 (x, y, 0) (a) Verify that A =Bxr is a vector potential for B, where r (b) Calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17. x A D C y F B FIGURE 17 A=(8,0,2), B = (8,2,0), C= (0,2,0), F= D= (0,0,2), F = (8,0,0) Flux(B) = 80b

A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0, 0, b) 1 (x, y, 0) (a) Verify that A =Bxr is a vector potential for B, where r (b) Calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17. x A D C y F B FIGURE 17 A=(8,0,2), B = (8,2,0), C= (0,2,0), F= D= (0,0,2), F = (8,0,0) Flux(B) = 80b

Calculus: Early Transcendentals
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) 1 (x, y, 0) (a) Verify that A =Bxr is a vector potential for B, where r (b) Calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17. x A D C y F B FIGURE 17 A=(8,0,2), B = (8,2,0), C= (0,2,0), F= D= (0,0,2), F = (8,0,0) Flux(B) = 80b
Transcribed Image Text:A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0, 0, b) 1 (x, y, 0) (a) Verify that A =Bxr is a vector potential for B, where r (b) Calculate the flux of B through the rectangle with vertices A, B, C, and D in Figure 17. x A D C y F B FIGURE 17 A=(8,0,2), B = (8,2,0), C= (0,2,0), F= D= (0,0,2), F = (8,0,0) Flux(B) = 80b
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