Divergence of the Electric Field

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SUMMARY

The discussion centers on the concept of divergence in electric fields, particularly from point sources. The user expresses confusion regarding the behavior of the electric field, noting that it weakens with distance from the source. They question whether this implies a negative divergence due to more field lines entering a point than leaving it. Clarification is provided, confirming that divergence can be positive at the source and does not necessarily indicate negative divergence at points further away.

PREREQUISITES
  • Understanding of electric fields and point sources
  • Familiarity with the concept of divergence in vector calculus
  • Knowledge of Gauss's Law and its applications
  • Basic principles of electromagnetism
NEXT STEPS
  • Study the mathematical definition of divergence in vector fields
  • Explore Gauss's Law and its implications for electric fields
  • Learn about the relationship between electric field strength and distance from a point charge
  • Investigate examples of divergence in different physical contexts
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Students and professionals in physics, particularly those studying electromagnetism, vector calculus, and electric field theory.

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I am having a problem with this concept, when looking at the fields from a point source. My problem is that the field gets weaker the further it gets from the source, so at any point away from the source should there not be more entering that point than leaving it, and so have a negative divergence.

(a) ⇐⊕⇒ (b) ⊕⇒→
(a) is a source and looking at the divergence of the field here would give you a positive term.
(b) is the part that confuses me, should the point between the big and small arrows not have a negative divergence, as there is more of the vector quantity entering than leaving.

Any help would be great Thanks.
 
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