60. Radial fields and spheres Consider the radial field F = r/|r|, (x, y, z) and p is a real number. Let S be the sphere of radius a centered at the origin. Show that the outward flux of F across the sphere is 477/a. It is instructive to do the calculation using both an explicit and a parametric description of the sphere. %3D where r =

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60. Radial fields and spheres Consider the radial field F = r/|r|,
(x, y, z) and p is a real number. Let S be the sphere
of radius a centered at the origin. Show that the outward flux of F
across the sphere is 477/a. It is instructive to do the calculation
using both an explicit and a parametric description of the sphere.
%3D
where r =
Transcribed Image Text:60. Radial fields and spheres Consider the radial field F = r/|r|, (x, y, z) and p is a real number. Let S be the sphere of radius a centered at the origin. Show that the outward flux of F across the sphere is 477/a. It is instructive to do the calculation using both an explicit and a parametric description of the sphere. %3D where r =
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