# Magnetic Force Between Current-Carrying Wires Calculator

Magnetic Force Between Current-Carrying Wires Calculator gives output as the magnetic force quickly and easily. You have to provide input values like current in the first wire, second wire and distance between two wires and press the calculate button to avail the result as soon as possible.

Choose a Calculation
Distance(d):
Current in second wire(Ib):
Current in first wire(Ia):

Magnetic Force Between Current-Carrying Wires Calculator: Finding the magnetic force between two parallel wires is not difficult with our handy calculator. This tool provides accurate and instant results easily by eliminating lengthy calculations. Get the step by step process to evaluate the magnetic force and solved examples here. Also, find the details like a magnetic force between wires equation, attraction or repulsion.

## Step by Step Process to Calculate Magnetic Force

Have a look at the simple steps to find the magnetic force between two parallel, straight wires that are carrying current. Follow the guidelines and rules to get the output easily.

• Get the amount of current flowing through two wires, distance between two wires.
• Find the product of double of π with the distance.
• Multiply the values of current flowing through two wires with the permeability of free space constant.
• Divide the product from above step by the product in step 2 to get the magnetic force.

### Magnetic Force Between Two Wires

Magnetic force is the force caused due to the motion of charges. In simple words, the magnetic force between two moving charges can be described as the effect applied upon either charge by a magnetic field created by other.

We generally use the cross product to get the magnetic force between current-carrying wires.

The magnetic force between wires equation is along the lines:

F/L = μo * Ia * Ib /(2πd)

Here,

Ia, Ib are the current flowing in the first and second wires

d is the distance between the wires

F/L is the force per unit length acting on each wire

μo is the permeability of free space that has a constant value. μo = 4π x 10-7 Tm/A

The attraction and repulsion between two wires will happen if they interact with each other. When two wires are carrying current in the same direction, then they attract each other otherwise repel.

Example

Question: If 12 A of current flows in the first wire, 15 A of current flows in the second wire. The distance between two wires is 11 m and find the magnetic force between two wires?

Solution:

Given that

Current in the first wire Ia = 12 A

Current in the second wire Ib = 15 A

Distance between two wires d = 11 m

F/L = μ0 * Ia * Ib /(2πd)

= 4π x 10-7 * 12 * 15/(2π * 11)

= 360 x 10-7/11

= 32.7272 x 10-7 N

Therefore, the magnetic force between two wires is 32.7272 10-7 N.

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### FAQs on Magnetic Force Between Current-Carrying Wires Calculator

1. What is meant by magnetic force?

Magnetic force can be defined as the attractive force that is generated between the poles of a magnet and electrically charged moving particles.

2. What is the magnetic force between wires formula?

The magnetic force between two parallel, long and straight current-carrying wires equation is F/L = μ0 * Ia * Ib / (2πd). Here F/L is the force per unit length, d is the distance between wires, Ia and Ib are the current flowings in the first and second wires.

3. How to calculate magnetic force using Magnetic Force Between Current-Carrying Wires Calculator?

You need to give the current flow in the first, second wires and the distance between the wires in the input fields of the calculator. Tap the calculate button to find the magnetic force value easily.

4. What is the unit of the magnetic force?

The SI unit of magnetic force is Newton (N). 