Vector Divergence in Mathematica

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SUMMARY

The discussion focuses on creating an interactive box in Mathematica to visualize the vector divergence of the electric field (E-field) emanating from a sphere. Users express challenges in finding resources on the Wolfram reference or Demonstrations site. Suggestions include utilizing the StreamPlot and VectorPlot functions for 2D vector fields, and the VectorPlot3D command for 3D visualizations. The conversation highlights the need for beginner-friendly guidance in Mathematica for such tasks.

PREREQUISITES
  • Basic understanding of vector fields
  • Familiarity with Mathematica software
  • Knowledge of electric field concepts
  • Experience with 2D and 3D plotting functions
NEXT STEPS
  • Explore the Mathematica documentation for VectorPlot3D
  • Learn how to implement StreamPlot and VectorPlot for 2D visualizations
  • Research tutorials on electric field visualization in Mathematica
  • Investigate interactive manipulation techniques in Mathematica
USEFUL FOR

Students, educators, and researchers in physics or engineering, particularly those interested in visualizing electric fields and vector calculus using Mathematica.

mateomy
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I'm trying to make a little manipulate/interactive box that shows the vector divergence of the E-field coming from a sphere. I have no idea how to start as I'm really new to Mathematica. Does anyone have any pointers? I can't find anything particularly helpful on the Wolfram reference or Demonstrations site. Thanks.
 
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mateomy said:
I'm trying to make a little manipulate/interactive box that shows the vector divergence of the E-field coming from a sphere. I have no idea how to start as I'm really new to Mathematica. Does anyone have any pointers? I can't find anything particularly helpful on the Wolfram reference or Demonstrations site. Thanks.

I'm no expert at Mathematica, but I've used StreamPlot and VectorPlot to create vector fields in two dimensions. I've never tried it in 3D, although there is a VectorPlot3D command. Anyway, I've attached the example I did.
 

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Thank you, very helpful.
 

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