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Why is the divergence of electric field not zero for a material with non-constant conductivity?
The divergence of the electric field is not zero in materials with non-constant conductivity due to the spatial variation in charge density and the relationship defined by Maxwell's equations. Specifically, when conductivity varies, it impacts the local electric field distribution, leading to non-zero divergence. In certain scenarios, such as uniform charge distribution, the divergence may appear zero despite non-constant conductivity, highlighting the complexity of electromagnetic behavior in heterogeneous materials.
PREREQUISITESPhysicists, electrical engineers, and students studying electromagnetism who seek to understand the effects of material properties on electric field behavior.
There are times when a material with non constant conductivity will have an E field with zero divergence. Can you think when that happens? So what is different?fricke said:Why is the divergence of electric field not zero for a material with non-constant conductivity?