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sphyics
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Coulombs law in SI system is given by
from where does the factor 4[tex]\pi[/tex] come in.
from where does the factor 4[tex]\pi[/tex] come in.
..obvious by simple maths, :) but why the ratio between surface area and radius squared......and [itex]4\,\pi[/itex] is the ratio between the surface area of a sphere and the radius squared.
Dadface said:Putting it another way you can express the constant as a straightforward k where (k is a constant of the medium) but for many problems 4 pi would appear in the final answer.By expressing the constant as 1/4pi epsilon(which of course is equal to k) the 4 pis would cancel in said problems.Take your choice as to how to express the constant but the 1/4pi epsilon option,although it may look more complicated at first sight,actually works out to be the neater option.
sphyics said:https://www.physicsforums.com/library.php?do=view_item&itemid=114
From the above
..obvious by simple maths, :) but why the ratio between surface area and radius squared...
Coulomb's law, also known as the law of electrostatics, is a fundamental law in physics that describes the force 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.
Coulomb's law is related to electric fields because it describes the force between two charged particles, which is caused by the electric field created by those particles. The strength of the electric field is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance.
The equation for Coulomb's law is F = k(q1q2)/r2, where F is the force between two charged particles, k is the Coulomb's constant, q1 and q2 are the charges of the particles, and r is the distance between them.
The Coulomb's constant, k, is a proportionality constant that relates the force between two charged particles to their charges and the distance between them. Its value is approximately 9 x 109 Nm2/C2. It is an important constant in physics and is used to calculate the strength of the electric field and the magnitude of the force between charged particles.
Coulomb's law is used in various real-world applications, including electronics, medical devices, and industrial processes. It helps engineers and scientists understand and predict the behavior of electrically charged particles in different systems. For example, it is used in the design of electronic circuits, the operation of medical imaging equipment, and the production of static electricity in industrial processes.