# How to calculate attractive force between mag & electromag?

In summary, the attractive force between a magnet and an electromagnet can be calculated using the formula F = (μ0 * m1 * m2)/ (2 * π * r^2), where F is measured in Newtons or pound-force and is inversely proportional to the square of the distance between them. This force is always positive and is affected by the magnetic dipole moment of the electromagnet, with a stronger electromagnet resulting in a stronger attractive force.
I am aware of the complexity of magnetic fields, all i need is a ballpark functional equation of distance between an electromagnet and a permanent magnet. Can anyone point me in the right direction?

## 1. How do you calculate the attractive force between a magnet and an electromagnet?

The attractive force between a magnet and an electromagnet can be calculated using the following formula: F = (μ0 * m1 * m2)/ (2 * π * r^2), where F is the attractive force in Newtons, μ0 is the permeability of free space (4π * 10^-7), m1 and m2 are the magnetic dipole moments of the magnet and electromagnet respectively, and r is the distance between them.

## 2. What units are used to measure the attractive force between a magnet and an electromagnet?

The attractive force between a magnet and an electromagnet is typically measured in Newtons (N) or pound-force (lbf).

## 3. How does the distance between a magnet and an electromagnet affect the attractive force?

The attractive force between a magnet and an electromagnet is inversely proportional to the square of the distance between them. This means that as the distance between them increases, the attractive force decreases.

## 4. Can the attractive force between a magnet and an electromagnet be negative?

No, the attractive force between a magnet and an electromagnet is always positive. It represents the force pulling the two objects together, regardless of their polarity.

## 5. How does changing the magnetic dipole moment of the electromagnet affect the attractive force?

The magnetic dipole moment of the electromagnet directly affects the attractive force between the magnet and electromagnet. As the magnetic dipole moment increases, the attractive force also increases. This means that a stronger electromagnet will have a stronger attractive force on the magnet.

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