Electric Force Calculator

Formula

The formula to calculate the electric force between two point charges is:

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

Where:

\(F\) is the electric force between the charges (Newtons)
\(k\) is Coulomb’s constant (\(8.9875517873681764 \times 10^9 \, \text{N m}^2/\text{C}^2\))
\(q1\) is the magnitude of charge 1 (Coulombs)
\(q2\) is the magnitude of charge 2 (Coulombs)
\(r\) is the distance between the centers of the two charges (meters)

What is Electric Force?

Electric force is the force of attraction or repulsion between two charged objects. The magnitude of the force is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. This relationship is known as Coulomb’s law and is fundamental to the study of electrostatics.

Example Calculation 1

Let's assume the following values:

Magnitude of Charge 1 (q1) = 2 C
Magnitude of Charge 2 (q2) = 3 C
Distance between the Charges (r) = 0.5 m

Using the formula:

\[ F = 8.9875517873681764 \times 10^9 \cdot \frac{|2 \cdot 3|}{0.5^2} = 2.16 \times 10^{11} \, \text{N} \]

The Electric Force is \(2.16 \times 10^{11} \, \text{N}\).

Example Calculation 2

Let's assume the following values:

Magnitude of Charge 1 (q1) = 1.5 C
Magnitude of Charge 2 (q2) = 2.5 C
Distance between the Charges (r) = 1 m

Using the formula:

\[ F = 8.9875517873681764 \times 10^9 \cdot \frac{|1.5 \cdot 2.5|}{1^2} = 3.37 \times 10^{10} \, \text{N} \]

The Electric Force is \(3.37 \times 10^{10} \, \text{N}\).