How does Coulomb's law change in 3+1 dimensional spacetime?

In summary, Coulomb's law is a fundamental law of physics that describes the electrostatic interaction 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. The units of measurement for the electric force in Coulomb's law are Newtons (N), and it is directly related to the concept of electric fields. The constant in Coulomb's law has dimensions of meters per coulomb squared (m/C^2) and represents the relationship between the strength of the electric force and the distance and magnitude of the charges involved. When dealing with multiple charged particles, Coulomb's law can be extended to calculate the net force on
  • #1
jk22
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The power law of Coulomb depends on the dimension treated . It is $$1/r^{n-1} $$ where n is the dimension.

In n=3 we get the inverse square law.

How does this go into considering now spacetime 3+1 dimensional ? Would it modify the law and how ?
 
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  • #2
The Coulomb law is only valid for a single static charge. The static solution is three-dimensional as it does not depend on time. To deal with time changing fields you need Maxwell's equations.
 

Related to How does Coulomb's law change in 3+1 dimensional spacetime?

1. What is Coulomb's law?

Coulomb's law, also known as Coulomb's inverse-square law, is a fundamental law of physics that describes the electrostatic interaction 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.

2. What are the units of measurement for the electric force in Coulomb's law?

The units of measurement for the electric force in Coulomb's law are Newtons (N). This is because force is defined as the product of mass and acceleration, and in the case of Coulomb's law, the force is acting on a charged particle due to the electric field.

3. How does Coulomb's law relate to the concept of electric fields?

Coulomb's law is directly related to the concept of electric fields. The force described in Coulomb's law is the force that acts on a charged particle due to the electric field created by another charged particle. The electric field is a measure of the force per unit charge at a given point in space.

4. What are the dimensions of the constant in Coulomb's law?

The constant in Coulomb's law, also known as the Coulomb constant or the electric constant, has dimensions of meters per coulomb squared (m/C^2). This means that it represents the relationship between the strength of the electric force and the distance and magnitude of the charges involved.

5. How does Coulomb's law change when dealing with multiple charged particles?

When dealing with multiple charged particles, Coulomb's law can be extended to calculate the net force on a charged particle due to multiple other charged particles. This is done by summing up the individual forces between the charged particle and each of the other charged particles, taking into account the direction and magnitude of each force.

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