Solve 2 Let I be the flux of G = (5e", 7z°e" ,0) through the upper hemisphere S of the unit sphere.G.(a) Find a vector field A such that curl(A)(b) Calculate the circulation of A around aS.(c) Compute I, the flux of G through S.(a) A(b) , A. ds =(c) I =A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0, 0, 6) 1(a) Verify that A = B x ris a vector potential for B, where r = (r, y, 0)(b) Use the Stokes theorem to calculate the flux of B through the rectangle with vertices A, B, C, and Din Figure 17.BFIGURE 17A = (9,0, 7), B= (9,5, 0), C = (0,5, 0),D= (0,0,7), F = (9,0,0)Flux(B) =Let S be the part of the plane 4r + 2 + z =3 which lies in the first octant, oriented upward. Use the Stokes theorem to find the flux of the vector field F = 4i + 3j + 1k across the surface S.

Stoke's theorem ∫CF→.dr→=∫∫S curlF→.dS→ Where S is a smooth surface bounded by a smooth closed curve…

Answered: A uniform magnetic field B has constant…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 77E

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