Electric charge is a fundamental property of matter that describes the amount of electric force it exerts. Coulomb's law, named after French physicist Charles-Augustin de Coulomb, provides a mathematical formula for calculating the force between two charged objects.
Our advanced Coulomb calculator simplifies the process of determining the electric force between charges. Input the values for the charges (in coulombs), the distance between them (in meters), and the permittivity of the medium (in Farads/meter), and it instantly calculates the force (in newtons).
The permittivity of vacuum, ε0, is a constant with a value of approximately 8.85 × 10-12 F/m.
Coulomb's law finds practical applications in various fields:
Table 1: Coulomb's Law Calculator Matrix
Charge 1 (Q1) | Charge 2 (Q2) | Distance (r) | Permittivity (ε) | Force (F) |
---|---|---|---|---|
1 C | 1 C | 1 m | 8.85 × 10-12 F/m | 8.99 × 109 N |
-1 μC | -1 μC | 1 cm | 8.85 × 10-12 F/m | 9.9 × 10-5 N |
1 nC | 1 nC | 1 mm | 8.85 × 10-12 F/m | 9.9 × 10-14 N |
Table 2: Permittivity Values for Common Media
Medium | Permittivity (ε) |
---|---|
Vacuum | 8.85 × 10-12 F/m |
Air | 1.00059 × 8.85 × 10-12 F/m |
Water | 80.1 × 8.85 × 10-12 F/m |
Glass | 4.7-6.8 × 8.85 × 10-12 F/m |
Table 3: Applications of Coulomb's Law
Field | Application |
---|---|
Chemistry | Ion-molecule interactions, redox reactions |
Electrical Engineering | Capacitor design, circuit analysis |
Biology | Membrane potentials, muscle contraction |
Nanotechnology | Charge transport, self-assembly |
Table 4: Benefits and Pain Points Addressed by Coulomb Calculator
Benefit | Pain Point |
---|---|
Precise force calculations | Manual calculations prone to errors |
Customization to different media | Limited applicability without permittivity adjustment |
User-friendly interface | Complex formulas and unit conversions |
Wide range of applications | Limited scope without specialized tools |
We introduce the term "Coulombics" to encompass the fascinating world of electrical charge interactions. This dynamic field encompasses the study of charge behavior, manipulation, and its applications across various scientific disciplines.
Our Coulomb calculator empowers researchers, engineers, and students to:
Coulomb's law is a cornerstone of classical electromagnetism, and our Coulomb calculator provides an accessible and powerful tool for understanding and manipulating electrical charge interactions. By unlocking the power of Coulombics, we pave the way for advancements and breakthroughs in various fields.
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