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Question
how does a system of magnets store potential energy in the magnetic field?
When magnets are arranged in a system, the potential energy is related to their positions and orientations. If magnets are moved against the magnetic force (either repulsive or attractive), work is done. This work is stored as potential energy in the magnetic field. For example, if two like - pole magnets are pushed closer together (against the repulsive force), the system stores potential energy. Similarly, if two opposite - pole magnets are pulled apart (against the attractive force), potential energy is stored.
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A system of magnets stores potential energy in the magnetic field when work is done against the magnetic forces (either repulsive or attractive) to change the relative positions or orientations of the magnets.