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## Main Question or Discussion Point

I am studying divergence and curl in my E&M class. I was wondering, why is divergence a useful concept? I mean, for point charges, the divergence is zero everywhere except where the charge is located. Even for charged surfaces,

[tex]\nabla\cdot E = \frac{\rho}{\epsilon}[/tex]

Loooking at this it seems like you would have no divergence except on the suface. How does that help?

[tex]\nabla\cdot E = \frac{\rho}{\epsilon}[/tex]

Loooking at this it seems like you would have no divergence except on the suface. How does that help?