Force Visualization
Force vs Distance Graph
Coulomb's Law Parameters
Charge 1 (q₁)
Charge 2 (q₂)
Distance (r)
Visualization Options
Charge Combinations
Coulomb's Law Formula
Instructions
- Adjust the charge magnitudes using the sliders
- Change the distance between charges to see how force varies
- Observe the force vectors showing attraction or repulsion
- Use logarithmic scale to better visualize the inverse square relationship
- Try different charge combinations to explore attraction vs repulsion
What is Coulomb's Law?
Coulomb's Law describes the electrostatic force between two charged particles. The force is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. This fundamental law governs all electrostatic interactions and is essential for understanding atomic structure, chemical bonding, and electrical phenomena.
The Inverse Square Law
The force follows an inverse square relationship with distance: F ∝ 1/r². This means that doubling the distance reduces the force to one-fourth, and tripling the distance reduces it to one-ninth. This inverse square law is a fundamental pattern in nature, also appearing in gravitational force and light intensity. The logarithmic scale option helps visualize this power law relationship.
Attraction and Repulsion
When both charges have the same sign (both positive or both negative), the product q₁·q₂ is positive, resulting in a repulsive force that pushes the charges apart. When the charges have opposite signs, the product is negative, resulting in an attractive force that pulls the charges together. The visualization shows this with force vectors pointing away from each other (repulsion) or toward each other (attraction).
Applications and Real-World Examples
Coulomb's Law has numerous practical applications: understanding atomic structure and electron configurations, explaining ionic and covalent chemical bonding, designing electrostatic precipitators for air purification, analyzing particle trajectories in mass spectrometers, calculating forces in capacitors and electronic components, studying plasma physics and fusion reactors, and explaining everyday phenomena like static electricity and lightning. The law is fundamental to all of electromagnetism and underlies much of modern technology.
Comparison with Gravity
Coulomb's Law is mathematically similar to Newton's Law of Universal Gravitation (F = G·m₁·m₂/r²), both following inverse square relationships. However, electrostatic forces are much stronger than gravitational forces (by a factor of ~10³⁶ for elementary particles). Unlike gravity, which is always attractive, electric forces can be either attractive or repulsive depending on the charge signs.