A Can a Scalar Field Exist Without a Net Source?

AI Thread Summary
The discussion centers on the concept of sources and sinks in fields, specifically questioning whether a scalar field can exist without a net source, defined as having zero divergence. It is established that a magnetic field has equal sources and sinks, leading to no net source. The inquiry seeks clarification on the definition of divergence in relation to scalar functions. Participants explore the implications of having non-zero divergence for scalar fields. The conversation emphasizes the need for a clear understanding of divergence in this context.
Shubham135
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The magnetic field has no net source or sinks i.e. number of sources are equal to the number of sinks. Can a scalar field also have no net source? Or a source is required for a scalar field?
 
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In this context a "source" is a non zero divergence. Do you have a definition for the divergence of a scalar function?
 
Dale said:
In this context a "source" is a non zero divergence. Do you have a definition for the divergence of a scalar function?
This is precisely my question
 
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