How Does Coulomb's Law Determine Force in a Charged Square Configuration?

In summary, Coulomb's Law is a fundamental law of physics that describes the electrostatic interaction between two charged particles. It is directly related to electric fields and the strength of the field is determined by the charge of the particle and its distance from the point of observation. The SI unit of charge used in Coulomb's Law is the Coulomb (C). The magnitude of the charges has a direct impact on the force between them, with larger charges resulting in a stronger force. Coulomb's Law can be applied to any charged particles, but for non-point charges, the distance between them must be much larger than their size for the law to be accurate.
  • #1
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Homework Statement


A square with side lengths 2.0 cm has a charge of -1.0x10^-6 at every corner. What is the magnitude and direction of electric force on each charge?


Homework Equations


Fe=kq1q2/r^2


The Attempt at a Solution


FeNet=kq1q2/r^2
=(9x10^9)(-1.0x10^-6)^2/(0.002)^2
=22.5 N
 
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  • #2
You will need to take into account the direction of the force. Set up some coordinate axes and treat the force from each of the 3 other charges on one charge as a vector. Once you've found one the others should be obvious.
 
  • #3


The magnitude of the electric force on each charge is 22.5 N, and the direction of the force will depend on the position of the charges relative to each other. If the charges are arranged in a square with opposite charges facing each other, the force will be attractive, pulling the charges towards each other. If the charges are arranged in a square with like charges facing each other, the force will be repulsive, pushing the charges away from each other.
 

1. What is Coulomb's Law?

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.

2. How is Coulomb's Law related to electric fields?

Coulomb's Law is directly related to electric fields. Electric fields are created by charged particles and the strength of the field is determined by the charge of the particle and its distance from the point of observation. The direction of the electric field is the same as the direction of the force that a positive test charge would experience if placed in the field.

3. What is the SI unit of charge used in Coulomb's Law?

The SI unit of charge used in Coulomb's Law is the Coulomb (C). One Coulomb is defined as the amount of charge that passes through a conductor in one second when there is a constant current of one ampere (A).

4. How does the magnitude of the charges affect the force between them?

The magnitude of the charges has a direct impact on the force between them. According to Coulomb's Law, the force between two charged particles increases as the magnitude of the charges increases. This means that the larger the charges, the stronger the force between them.

5. Can Coulomb's Law be applied to point charges only?

No, Coulomb's Law can be applied to any charged particles, whether they are point charges or not. However, for non-point charges, the distance between the particles must be much larger than their size in order for the law to be accurate. This is because Coulomb's Law assumes that the charges are concentrated at a single point.

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