Magnetic Interaction Distance and Stored Potential Energy
Real-World Phenomenon
When two magnets are pushed closer together (either attracting or repelling), the system stores more potential energy than when the magnets are farther apart. Holding the magnets close takes more effort, showing energy is stored due to their arrangement at a distance.
Diagram 1.

Source: https://savree.com/en/encyclopedia
Energy can be stored in a system when objects interact through forces that act at a distance. Magnetic forces are one example. Magnets can attract or repel each other without touching because each magnet creates a magnetic field around it. When another magnet enters that field, a force acts between them.
The amount of energy stored in a magnetic system depends on how the magnets are arranged. When two magnets are far apart, the interaction between their magnetic fields is weaker, and less potential energy is stored. As the magnets are moved closer together, the interaction becomes stronger, and more potential energy is stored in the system.
This stored energy is called magnetic potential energy. Even when the magnets are not moving, energy is present because of their arrangement. If the magnets are released, the stored energy can be transferred into motion as the magnets move toward or away from each other, depending on whether they attract or repel.
To investigate this relationship, students can measure how the force or energy changes as the distance between magnets changes. One way to model stored energy is to measure the force required to hold the magnets apart at different distances and use that information to estimate potential energy. When these values are organized in tables and graphed, a clear pattern appears: as distance decreases, the amount of stored potential energy increases.
In this magnetic system, the data and graphs act as a model that shows how decreasing the distance between magnets increases the amount of potential energy stored in the system.
Table 1.
Distance Between Magnets (cm) | Force (N) | Magnetic Potential Energy (J) | Change in PE from Farthest (J) |
|---|
1 | 5 | 0.05 | 0 |
2 | 3.8 | 0.076 | 0.026 |
3 | 2.6 | 0.078 | 0.028 |
4 | 1.7 | 0.068 | 0.018 |
5 | 1 | 0.05 | 0 |
Graph of Information - Figure 1.

Graph of Information - Figure 2.
