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Let S be the cube with side length 6, faces parallel to the coordinate planes, a

ID: 3285053 • Letter: L

Question

Let S be the cube with side length 6, faces parallel to the coordinate planes, and centered at the origin. Calculate the total flux of the constant vector field out of S by computing the flux through each face separately, flux through the face at X = 3 flux through the face at y = 3 flux through the face at Z = 3 flux through the face at X = -3 flux through the face at y = -3 flux through the face at Z = -3 Thus the total flux is flux = Calculate the flux out of S for any constant vector field . flux =

Explanation / Answer

If n is the unit normal vector to a surface element dS and F is a vector field then the flux of F through dS is F

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