Hi,(adsbygoogle = window.adsbygoogle || []).push({});

I wonder if someone could help me.

I'm trying to find the potential function,[tex]\phi[/tex], of the field:v= y^{2}z^{3}i+ 2xyz^{3}j+ 3xy^{2}z^{2}k

So usingv= [tex]\nabla\phi[/tex], I have found:

[tex]\frac{\partial \phi}{\partial x}[/tex] = y^{2}z^{3}x + F(y,z)

[tex]\frac{\partial \phi}{\partial y}[/tex] = y^{2}z^{3}x + G(x,z)

[tex]\frac{\partial \phi}{\partial z}[/tex] = y^{2}z^{3}x + H(x,y)

So my question is:

Does this mean that F,G and H are all zero... and therefore [tex]\phi[/tex] = y^{2}z^{3}x

or do I still need to include some constant, so that [tex]\phi[/tex] = y^{2}z^{3}x + C , for example.

Help will be much appreciated,

Thanks, teeeeee

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# Determine Scalar Potential Function

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