Aastik Tripathi said:If the coulomb's law instead of following an inverse square relationship, follows an inverse cube relationship
It came up when I was attending my classes , that in some examination this concept was asked using a charged spherical conductor as mentioned above, the answer was told that it there will not be any electric field inside the bulk of the conductor which was quite intuitive, however the charge density was claimed to be non zero, which was quite counter intuitive as I believed charges would experience repulsion when present in the bulk, that's why I posted this to clear the doubt .PeterDonis said:It doesn't. Is there a particular reason why you are asking?
Aastik Tripathi said:in some examination this concept was asked using a charged spherical conductor as mentioned above, the answer was told that it there will not be any electric field inside the bulk of the conductor which was quite intuitive, however the charge density was claimed to be non zero, which was quite counter intuitive as I believed charges would experience repulsion when present in the bulk
Coulomb's Law is a fundamental law of physics that describes the relationship between the electric forces acting between two charged particles. It states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
One modification to Coulomb's Law is the addition of a dielectric constant in situations where the charged particles are in a medium other than a vacuum. This constant takes into account the effect of the medium on the electric force between the particles. Another modification is the inclusion of vector notation to account for the direction of the force.
The inclusion of a dielectric constant allows for a more accurate calculation of the electric force in situations where the particles are in a medium, such as air or water. The use of vector notation allows for a more comprehensive understanding of the direction of the electric force and its components.
The modifications to Coulomb's Law make it a more versatile and accurate tool for calculating electric forces in various situations. The use of a dielectric constant allows for more accurate predictions in real-world scenarios, while the use of vector notation allows for a more precise understanding of the forces involved.
Like any scientific law, Coulomb's Law is based on certain assumptions and may not accurately describe all situations. The modifications to the law may not take into account all factors that may affect the electric force, such as the presence of other particles or the effects of relativity at high speeds. Therefore, it is important to use caution and consider other factors when applying the modified Coulomb's Law in complex situations.