Electrostatic force. Coulomb’s Law

27/03/2026

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.

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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Electrostatic force and Coulomb's law simulations

Force
Coulomb I
Coulomb II

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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“If I have seen further, it is by standing on the shoulders of giants”

Isaac Newton

André-Marie Ampère

1775

–

1836

André-Marie Ampère formulated the theory of electromagnetism, establishing the mathematical foundations linking electricity and magnetism

“Science is the explanation of the complex by the simple”

Michael Faraday

1791

–

1867

Michael Faraday discovered electromagnetic induction, conducted pioneering experiments in optics (Faraday effect), and established fundamental principles of electrochemistry.

“Nothing is too wonderful to be true”

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“Nothing is too wonderful to be true”

James Clerk Maxwell

1831

–

1879

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Test your knowledge

What is electrostatic force, and how does it explain the interaction between electric charges?

Electrostatic force is one of the fundamental forces of nature and describes how electrically charged bodies interact. It can be attractive or repulsive depending on the signs of the charges: like charges repel, while opposite charges attract. This force acts at a distance and is governed by Coulomb’s Law, which states that the magnitude of the force depends on the product of the charges and decreases with the square of the distance between them. The Coulomb constant determines how strong the interaction is in a given medium. Electrostatic force is essential for understanding the structure of matter, since it keeps electrons bound to atomic nuclei and determines how molecules form. It also plays a key role in everyday phenomena such as static electricity and in technologies like capacitors, sensors and electronic circuits.

How is Coulomb’s Law formulated, and what does it reveal about the strength of electrostatic interactions?

Coulomb’s Law describes how the electrostatic force between two point charges behaves and identifies the factors that determine its intensity. It states that the force increases when the charges involved have larger magnitudes and decreases rapidly as the distance between them grows. This weakening is not gradual but very pronounced, because the force diminishes according to the square of the separation. The law also highlights the role of the surrounding medium: some materials allow electric fields to form easily, while others reduce or “dampen” the interaction, making the force weaker. Another key aspect is that the sign of the charges determines whether the force is attractive or repulsive, while the magnitude and distance determine how strong it is. Thanks to this formulation, scientists can analyze electric systems, understand the stability of atoms and molecules, and predict the behavior of charged particles in many technological applications.

Why does the force between two charges decrease when the distance increases?

Because Coulomb’s Law says that the force depends on the inverse of the square of the distance. When you move two charges apart, the electric field from each one spreads out more and reaches the other with less intensity. If you double the distance, the force becomes four times weaker; if you triple it, it becomes nine times weaker. That is why electrostatic effects are strong only when charges are close together and almost negligible when they are far apart. This relationship helps explain many everyday situations involving static electricity.

What determines whether the force between two charges is attractive or repulsive?

It depends on the sign of the charges. If both charges have the same sign, their electric fields push each other away, so the force is repulsive. If the charges have opposite signs, the fields point toward each other and the force becomes attractive. The strength of the force depends on the amount of charge and the distance between them, but the direction —whether they move closer or farther apart— is determined only by the sign. This rule is essential for understanding atomic structure and many electrostatic phenomena.

What role does the constant (k) play in Coulomb’s Law?

The constant (k) determines how strong the electrostatic interaction is in a particular medium. In a vacuum, its value is very high, meaning that the force between charges is especially strong. In other materials, such as water or insulating substances, the effective value is lower because the medium reduces the electric field. This means that the same two charges can interact more or less intensely depending on where they are. In practice, (k) allows Coulomb’s Law to match real physical conditions and makes it possible to calculate the force accurately in different situations.