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We consider the vector field F ( x , y , z ) = x i z k a) Show that the divergence F and
We consider the vector field
F(x,y,z)=xizk
a) Show that the divergenceF and curl (rotation)F of the vector fieldF are both equal to zero.
b) The previous part implies thatF has both a scalar and a vector potential. Find these two potentials.
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