Derivation of coloumbs law without Gauss's law

In summary, Coloumbs law and Gauss's law are two important equations in the study of electromagnetism. While historically Coloumb's law came first and was derived experimentally, from a modern perspective it is seen as a special case of the Maxwell equations. Gauss's law is used to find the electric field of a charged body and does not require proof as it is considered a natural law in physics.
  • #1
bhargav_kashi
3
0
Whenever I try searching on how coloumbs law is derived Gauss's law is always used,for this reason when I search for Gauss's law it is always derived from coloumbs law :frown:.could you guys guys help me out by telling me which camfirst and how it was derived
  • Coloumbs law- F=Q1Q2/r2ε
  • Gauss's law-∫E.DA=Q/ε
 
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  • #2
Historically, Coloumb's law came first but it wasn't derived from any other equation. Its an experimental formula. See here!
 
  • #3
From a modern point of view, however, it's clear that the differential Maxwell equations are the fundamental laws governing electromagnetic phenomena, and electrostatics is the special case of having no current densities and a static situation. Coulomb's Law is then found via the Green's function of the Laplacian.
 
  • #4
Thanks guys
 
  • #5
for any physical law there is no need of its proof..coz most of law is natural in physics...gauss law is the technic to find the electric field
 

Related to Derivation of coloumbs law without Gauss's law

1. What is Coulomb's law?

Coulomb's law is a fundamental law of electrostatics that describes the force between two stationary charged particles. It states that the force between two particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

2. How is Coulomb's law derived without Gauss's law?

Coulomb's law can be derived without using Gauss's law by considering the force between two point charges and using the principles of electrostatics, such as the principle of superposition and the inverse square law.

3. What are the steps involved in deriving Coulomb's law without Gauss's law?

The steps involved in deriving Coulomb's law without Gauss's law include setting up the problem, applying the principle of superposition, using the inverse square law to express the electric field, and integrating the electric field to obtain the force between the charges.

4. What are the assumptions made in deriving Coulomb's law without Gauss's law?

The assumptions made in deriving Coulomb's law without Gauss's law include that the charges are stationary, the medium between the charges is homogeneous and isotropic, and the charges are point charges.

5. Why is it important to understand the derivation of Coulomb's law without Gauss's law?

Understanding the derivation of Coulomb's law without Gauss's law allows for a deeper understanding of the fundamental principles of electrostatics and the relationship between electric charges and forces. It also provides a foundation for further studies in electromagnetism and applications in various fields of science and technology.

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