How to Calculate and Solve for Force of Attraction or Repulsion | Magnetic Field

Last Updated on April 12, 2024

The image above represents force of attraction or repulsion. To calculate force of attraction or repulsion, five essential parameters are needed and these parameters are Magnetic Permeability of Vacuum (μ_o), Strength of Magnetic Pole 1 (m₁), Strength of Magnetic Pole 2 (m₂), Distance Seperating the Poles (r) and Relative Magnetic Permeability (μ_R).

The formula for calculating force of attraction or repulsion:

F = ^μ_om₁m₂ / _4πμRr²

Where:

F = Force of Attraction or Repulsion
μ_o = Magnetic Permeability of Vacuum
m₁ = Strength of Magnetic Pole 1
m₂ = Strength of Magnetic Pole 2
r = Distance Separating the Poles
μ_R = Relative Magnetic Permeability

Let’s solve an example;
Find the force of attraction or repulsion when the magnetic permeability of vaccum is 1.2566371E-6, strength of magnetic pole 1 is 10, strength of magnetic pole 2 is 12, distance seperating the poles is 8 and the relative magnetic permeability is 14.

This implies that;

μ_o = Magnetic Permeability of Vacuum = 1.2566371E-6
m₁ = Strength of Magnetic Pole 1 = 10
m₂ = Strength of Magnetic Pole 2 = 12
r = Distance Separating the Poles = 8
μ_R = Relative Magnetic Permeability = 14

F = ^μ_om₁m₂ / _4πμRr²
F = ^{0.0000012566371(10)(12)} / _4π(14)(8)²
So, F = ^{0.000150796452} / _4π(14)(64)
F = ^{0.000150796452} / _11259.468
F = 1.339e-8

Therefore, the force of attraction or repulsion is 1.339e-8.

Read more: How to Calculate and Solve for Total Magnetic Field (H, J) | Magnetic Field

How to Calculate Force of Attraction or Repulsion Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the force of attraction or repulsion.

To get the answer and workings of the force of attraction or repulsion using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Geology under Add-on.

Now, Click on Magnetic Field under Geology

Now, Click on Force of Attraction or Repulsion under Magnetic Field

The screenshot below displays the page or activity to enter your values, to get the answer for the force of attraction or repulsion according to the respective parameters which are the Magnetic Permeability of Vacuum (μ_o), Strength of Magnetic Pole 1 (m₁), Strength of Magnetic Pole 2 (m₂), Distance Seperating the Poles (r) and Relative Magnetic Permeability (μ_R).

Now, enter the values appropriately and accordingly for the parameters as required by the Magnetic Permeability of Vacuum (μ_o) is 1.2566371E-6, Strength of Magnetic Pole 1 (m₁) is 10, Strength of Magnetic Pole 2 (m₂) is 12, Distance Seperating the Poles (r) is 8 and Relative Magnetic Permeability (μ_R) is 14.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the force of attraction or repulsion and presents the formula, workings and steps too.