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brian0918
- 44
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Has a name been given to this constant? The most I've seen is calling it k, but is there another name for it, or any statement for understanding its meaning (such as how e0 can be called the "permittivity of vacuum")?
The name for 1/(4πε₀) is Coulomb's constant.
1/(4πε₀) is a mathematical constant that appears in Coulomb's law, which describes the force of attraction or repulsion between two charged particles. It is also used in other equations related to electrostatics and electromagnetism.
The value of 1/(4πε₀) is approximately 8.98755 × 10^9 N·m^2/C^2. This value depends on the units used for charge, distance, and force.
The name "Coulomb's constant" is derived from the French physicist Charles-Augustin de Coulomb, who first introduced the concept of electric charge and formulated Coulomb's law. The constant 1/(4πε₀) was later added to the equation and named after him.
The electric constant ε₀, also known as the permittivity of free space, is the vacuum permittivity and is related to 1/(4πε₀) by the equation ε₀ = 1/(4πε₀). This constant is used to calculate the strength of the electric field in a vacuum.