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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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