What is the physical significance of the divergence theorem?

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wasi-uz-zaman
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HI experts
i want to know the physical significance of divergence theorem i.e how volume integral changes to surface integral - how can i explain in simple words.
 
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wasi-uz-zaman said:
HI experts
i want to know the physical significance of divergence theorem i.e how volume integral changes to surface integral - how can i explain in simple words.

Hi!
Basically, the divergence can be thought of as the (relative) rate of change of volume.

But, we may do this in another way, namely by calculating the net flux across the original surface.