Show that a=(x2+xy2)i+(y2+x2y)j
is
irrotational . Find its scalar potential.
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The scalar potential is an example of a scalar field.
Given a vector field F, the scalar potential P is defined such that: where ∇P is the gradient of P and the second part of the equation is minus the gradient for a function of the Cartesian coordinates x, y, z.
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