Coulomb's Constant Calculator

Calculate Coulomb's Constant (k)







Formula

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

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

Where:

Definition

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.

Extended information about "Coulombs-Constant-Calculator"

Coulomb's Constant

Definition: Coulomb's constant is a proportionality factor in Coulomb's law, which describes the force between two point charges.

Formula: \( k_e = \frac{1}{4 \pi \epsilon_0} \)

Example: \( k_e = \frac{1}{4 \pi \times 8.854 \times 10^{-12}} \)

Dimensional Formula of Coulomb's Constant

Formula: Dimensional Formula = \( \left[ M^1 L^3 T^{-4} I^{-2} \right] \)

Example: Dimensional Formula = \( \left[ M^1 L^3 T^{-4} I^{-2} \right] \)

How to Calculate Coulombs

Formula: Coulombs = \( \text{Current} \times \text{Time} \)

Example: Coulombs = \( 2 \times 5 \)

Units of Coulomb's Constant

Formula: Units = \( \text{N m}^2 \text{C}^{-2} \)

Example: Units = \( \text{N m}^2 \text{C}^{-2} \)