Magnetic Force Per Unit Length Calculator

Formula

The formula to calculate the Magnetic Force Per Unit Length (F/L) is:

\[ \frac{F}{L} = \frac{\mu_0 \cdot I_1 \cdot I_2}{2\pi \cdot r} \]

Where:

(F/L) is the Magnetic Force Per Unit Length (N/m)
(\(\mu_0\)) is the permeability of free space (approximately \(4\pi \times 10^{-7}\) T·m/A)
(I₁) is the current in the first wire (A)
(I₂) is the current in the second wire (A)
(r) is the distance between the wires (m)

What is Magnetic Force Per Unit Length?

Magnetic force per unit length refers to the force experienced by a unit length of a conductor carrying an electric current in the presence of a magnetic field. This force is a result of the interaction between the magnetic fields produced by the currents in two parallel conductors. The force can be attractive or repulsive depending on the direction of the currents. This concept is crucial in understanding the behavior of electrical circuits and is widely used in applications such as electromagnets, electric motors, and transformers.

Example Calculation

Let's assume the following values:

Current in the First Wire (I₁) = 5 A
Current in the Second Wire (I₂) = 3 A
Distance Between the Wires (r) = 0.1 m

Using the formula:

\[ \frac{F}{L} = \frac{4\pi \times 10^{-7} \cdot 5 \cdot 3}{2\pi \cdot 0.1} \approx 0.00003 \]

The Magnetic Force Per Unit Length (F/L) is approximately 0.00003 N/m.