Answer to Question #301719 in Electricity and Magnetism for Pankaj

Question

Determine the value of the constant a for which the vector field

F vector =(2x²y+ z²) i^ +(xy² -x²z) j^ +(axyz -2x²y²) k^

is solenoidal.

Answer 1

$\nabla\cdot \vec F=0,$

$4xy+2xy+axy=0,$

$a=-6.$