Coulomb's Law Generalized

In summary, Coulomb's Law Generalized is a physical law that describes the electrostatic force between two charged particles. It was discovered by French physicist Charles-Augustin de Coulomb in 1785 and is an extension of Coulomb's Law. The SI unit of measurement for the force in Coulomb's Law Generalized is Newtons (N). This law relates to the force between two magnets, which is also described by a similar equation but takes into account magnetic properties and orientation in addition to distance.
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For calculating the force on a continuous charge distribution due to another continuous charge distribution, if F=kdqdq'/r^2 would you simply integrate first over dq' and then dq?
 
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Either dq or dq' can be integrated first.
 
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basik156 said:
For calculating the force on a continuous charge distribution due to another continuous charge distribution, if F=kdqdq'/r^2 would you simply integrate first over dq' and then dq?

Don't forget to take into account the vectorial nature of F.
 
  • #5


Yes, in order to calculate the force on a continuous charge distribution due to another continuous charge distribution, the equation F=kdqdq'/r^2 can be integrated first over dq' and then over dq. This integration process takes into account the contributions of each infinitesimal charge element (dq') on the first distribution to the force on each infinitesimal charge element (dq) on the second distribution. By integrating over the entire distributions, the total force between the two distributions can be calculated. This approach is known as the generalized Coulomb's Law and is a useful tool in understanding the behavior of electric charges in continuous systems.
 

What is Coulomb's Law Generalized?

Coulomb's Law Generalized is a physical law that describes the electrostatic force between two charged particles. It states that the force is directly proportional to the product of the charges and inversely proportional to the square of the distance between the particles.

Who discovered Coulomb's Law Generalized?

Coulomb's Law Generalized was discovered by French physicist Charles-Augustin de Coulomb in 1785. He conducted experiments with charged objects and determined the mathematical relationship between the force, charges, and distance.

How is Coulomb's Law Generalized different from Coulomb's Law?

Coulomb's Law Generalized is an extension of Coulomb's Law, which only applies to point charges that are stationary. Coulomb's Law Generalized takes into account the size and shape of the charged objects and also applies to moving charges.

What is the SI unit of measurement for the force in Coulomb's Law Generalized?

The SI unit of measurement for the force in Coulomb's Law Generalized is Newtons (N).

How does Coulomb's Law Generalized relate to the force between two magnets?

Coulomb's Law Generalized and the force between two magnets are both examples of fundamental forces in physics. The force between two magnets is described by a similar equation to Coulomb's Law Generalized, but it takes into account the orientation and magnetic properties of the magnets in addition to their distance.

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