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Electrostatic force. Coulomb’s Law

03/03/2026

The electrostatic force and Coulomb’s law online simulations on this page allow us to visualize how this important force of nature is generated. We will study how its value is calculated from Coulomb’s Law.

What is electrostatic force

Electrostatic force is a fundamental force in nature that arises from the interaction between electric charges. It is a force of an electrical nature that acts at a distance and can be attractive or repulsive, depending on the properties of the charges involved.

Electrostatic force. Coulomb’s Law

Formula of Coulomb’s law

Electrostatic force is governed by Coulomb’s Law, formulated by the French physicist Charles-Augustin de Coulomb. According to this law, the magnitude of the electrostatic force between two point charges is directly proportional to the product of their charge magnitudes and inversely proportional to the square of the distance separating them. Mathematically, the formula of Coulomb’s law is expressed as:

Electrostatic force = (k x q₁ x q₂) / r².

Where:

Electrostatic force is the magnitude of the force between charges.

k is the Coulomb constant, which depends on the medium in which the charges are located and has a value of approximately 9 × 10^9 N-m²/C² in vacuum.

q₁ and q₂ are the magnitudes of the charges involved.

r is the distance between the charges.

Electrostatic force applications

The electrostatic force is fundamental to many aspects of physics and has numerous applications in everyday life and technology. For example, it is responsible for the interaction between electrons and nuclei in atoms, maintaining the stability of matter. It also determines the structure and properties of chemical compounds.

In the field of electricity and electronics, electrostatic force is essential for the operation of electrical devices, such as capacitors, which store energy in the form of charges separated by a potential difference. It is also the force behind electrostatic phenomena, such as the attraction of charged objects by rubbing or the repulsion between electrically charged balloons.

Electrostatic force is also applied in technologies such as electrodynamics, electricity generation and distribution, and touch screen technology. In addition, it has implications in fields such as astrophysics, where electrostatic interactions are studied in the behavior of stars and galaxies.

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The electrostatic force and Coulomb’s law online simulations on this page allow us to visualize how this important force of nature is generated. We will study how its value is calculated from Coulomb’s Law.

What is electrostatic force

Electrostatic force is a fundamental force in nature that arises from the interaction between electric charges. It is a force of an electrical nature that acts at a distance and can be attractive or repulsive, depending on the properties of the charges involved.

Formula of Coulomb’s law

Electrostatic force is governed by Coulomb’s Law, formulated by the French physicist Charles-Augustin de Coulomb. According to this law, the magnitude of the electrostatic force between two point charges is directly proportional to the product of their charge magnitudes and inversely proportional to the square of the distance separating them. Mathematically, the formula of Coulomb’s law is expressed as:

Electrostatic force = (k x q₁ x q₂) / r².

Where:

Electrostatic force is the magnitude of the force between charges.

k is the Coulomb constant, which depends on the medium in which the charges are located and has a value of approximately 9 × 10^9 N-m²/C² in vacuum.

q₁ and q₂ are the magnitudes of the charges involved.

r is the distance between the charges.

Electrostatic force applications

The electrostatic force is fundamental to many aspects of physics and has numerous applications in everyday life and technology. For example, it is responsible for the interaction between electrons and nuclei in atoms, maintaining the stability of matter. It also determines the structure and properties of chemical compounds.

In the field of electricity and electronics, electrostatic force is essential for the operation of electrical devices, such as capacitors, which store energy in the form of charges separated by a potential difference. It is also the force behind electrostatic phenomena, such as the attraction of charged objects by rubbing or the repulsion between electrically charged balloons.

Electrostatic force is also applied in technologies such as electrodynamics, electricity generation and distribution, and touch screen technology. In addition, it has implications in fields such as astrophysics, where electrostatic interactions are studied in the behavior of stars and galaxies.

Electrostatic force and Coulomb's law simulations

Electrostatic force


Coulomb’s Law I


Coulomb’s Law II


Visualize with this Coulomb’s law simulation the electrostatic force that two charges exert on each other. Notice how changing the sign and magnitude of the charges and the distance between them affects the electrostatic force.
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The force between two charges weakens as the distance between them increases because the electric influence that each charge produces spreads out through space and becomes much less intense the farther it travels; the effect falls off with the square of the distance, so doubling the separation reduces the force to a quarter of its original value and tripling it cuts it to a ninth, which is why at large distances the interaction becomes faint and almost negligible, while at short distances it becomes sharply stronger.
The force between two charges is attractive or repulsive depending entirely on their sign, because the electric field created by each charge points in opposite directions for positive and negative values: two charges with the same sign generate fields that push each other away and therefore repel, while two charges with opposite signs create fields directed toward one another and therefore attract; the strength of the force depends on the magnitudes of the charges and the distance between them, but the sign alone determines whether the interaction pulls the charges together or drives them apart.
The constant k sets the overall strength of the electric interaction by reflecting how easily the surrounding medium allows an electric field to form: in empty space its value is high and the force between charges is correspondingly strong, while in materials that “soften” or absorb part of the field—such as water or many insulators—the effective value of k is lower and the force weakens noticeably; in practice, k acts as the scaling factor that tells you how intense the electrical influence between two charges will be depending on the environment they are placed in.

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