Deriving an equation for the electric field at a point charge

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SUMMARY

The discussion focuses on deriving the electric field at a point charge using the equations V = kq/r and E = V/x, E = V/y, E = V/z. It establishes that the electric field E(r) can be expressed in terms of the potential V and the distance from the charge. Additionally, it clarifies that the electric field at the exact center of a point charge is undefined in classical electrodynamics due to the singularity at that point, where quantum effects become relevant.

PREREQUISITES
  • Understanding of electric potential (V) and its relation to point charges
  • Familiarity with the concept of electric field (E) and its mathematical representation
  • Knowledge of Coulomb's law and the constant k (Coulomb's constant)
  • Basic principles of classical electrodynamics and quantum mechanics
NEXT STEPS
  • Study the derivation of electric fields from point charges using vector calculus
  • Explore the implications of singularities in classical physics and their quantum mechanical interpretations
  • Learn about the role of Coulomb's constant (k) in electrostatic calculations
  • Investigate the differences between classical and quantum electrodynamics
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the fundamentals of electric fields and point charge behavior in both classical and quantum contexts.

ashworcp
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Homework Statement



Use V=kq/r, E(x) = V/x, E(y) = V/y, E(z) = V/z to derive an expression for the electric field at a point charge q.

E(r) = ?


Homework Equations



E= F/Q
 
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ashworcp said:
Use V=kq/r, E(x) = V/x, E(y) = V/y, E(z) = V/z to derive an expression for the electric field at a point charge q.

E= F/Q
If it is asking for the electric field of a point charge at the centre of this point, the answer is that it is undefined in classical electrodynamics. Quantum effects apply.

AM
 

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