General function for E Field for point charge

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SUMMARY

The discussion focuses on deriving a general function for the electric field (E) of a point charge in three-dimensional space, represented as E=f(r,3). The participant seeks confirmation on the placement of the dimensionality parameter (D=3) within the function and inquires about potential functions to use for E. The conversation emphasizes the relationship between the radial distance (r) and the electric field strength in three dimensions.

PREREQUISITES
  • Understanding of electric field concepts
  • Familiarity with mathematical functions and their representations
  • Knowledge of three-dimensional geometry
  • Basic principles of electrostatics
NEXT STEPS
  • Research the mathematical representation of electric fields for point charges
  • Explore the implications of dimensionality on electric field strength
  • Study the inverse square law in electrostatics
  • Investigate potential functions used in physics, such as Coulomb's law
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Physics students, educators, and anyone studying electrostatics or mathematical modeling of electric fields.

ZedCar
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Homework Statement



Write down a general function where E=f(r,D) for sphere (D=3), (where D is a dimensionality parameter, which describes how many orthogonal directions x,y,z the field drops off from its maximum).


Homework Equations





The Attempt at a Solution



E=f(r,3)

Am I correct in thinking I place the 3 where I have, and retain the r as an r.
Then insert some function where the f is located?
 
Last edited:
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anyone have any ideas?
 

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