Coulomb's Constant Calculator

Formula

The formula to calculate Coulomb's Constant (k) is:

\[ k = \frac{F \cdot d^2}{q₁ \cdot q₂} \]

Where:

\( k \) is Coulomb's constant (N·m²/C²)
\( F \) is the force between the charges (Newtons)
\( q₁ \) is the magnitude of charge 1 (Coulombs)
\( q₂ \) is the magnitude of charge 2 (Coulombs)
\( d \) is the distance between the charges (meters)

Definition

Coulomb's Constant (k): A proportionality factor in Coulomb's law, describing the force of attraction or repulsion between two point charges.
Force (F): The force between the charges, measured in Newtons.
Magnitude of Charge 1 (q₁): The magnitude of the first charge, measured in Coulombs.
Magnitude of Charge 2 (q₂): The magnitude of the second charge, measured in Coulombs.
Distance Between Charges (d): The distance between the two charges, measured in meters.
Significance: Coulomb's constant is crucial in understanding the electrostatic force between charged particles. In a vacuum, it is approximately \( 8.9875517873681764 \times 10^9 \) N·m²/C².

Example

Let's say the force (F) is 1 N, the magnitude of charge 1 (q₁) is 1 C, the magnitude of charge 2 (q₂) is 1 C, and the distance between the charges (d) is 1 m. Using the formula:

\[ k = \frac{1 \cdot 1^2}{1 \cdot 1} = 1 \]

So, Coulomb's constant (k) is 1 N·m²/C² in this example.