In problem of finding the vector potential of a vector F = yz i + xz k + xy j,(adsbygoogle = window.adsbygoogle || []).push({});

the solution gives in Griffith's solution manual is

http://img843.imageshack.us/img843/2725/vectorpotential.jpg [Broken]

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But I don't understand how we can integrate

[itex]\frac{\partial Az}{\partial y}[/itex] = yz + [itex]\frac{ \partial Ay}{\partial z}[/itex]

and get only f (x,z), why can't the partial w.r.t z be a function a function of y?? eg A = xyz

then the partial w.r.t z is xy, which is a function of y.

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# Finding vector potential

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