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Electric potential energy is a type of energy that occurs due to the position of charged particles relative to one another. It is determined by the charges' magnitudes and the distance between them.
In atomic physics, like in the Bohr model of atoms, the electric potential energy is affected by interactions between subatomic particles, such as protons and electrons. If particles have like charges, the potential energy increases because work must be done to bring them close. Opposite charges, on the other hand, attract each other, which decreases potential energy as they naturally move together.
For example, in a hydrogen atom, the proton and electron interaction leads to a stable state where potential energy is minimized due to their opposite charges. Changes in this balance, such as replacing an electron with another proton, significantly impacts this potential energy.

In the Bohr model, a proton-electron interaction forms the basis of atomic structure for hydrogen.
This model depicts the atom as a tiny solar system where one proton (positive charge) exerts an electrostatic force of attraction upon an orbiting electron (negative charge).
This attractive force is crucial as it holds the electron in orbit, creating stability. The magnitude of the force depends on:

• The charge of the proton and electron, which are equal but opposite.
• The distance between them, represented by the variable \( r \).

Such interaction minimizes the electric potential energy of the atom, allowing it to exist in a stable, low-energy state. Alterations like replacing an electron with another proton disrupt this balance, leading to increased repulsion and potential energy.

Charge repulsion refers to the phenomenon where like charges, either both positive or both negative, push away from each other.
This is due to the electric force that does not want them to occupy the same space. For instance, should an atom's electron be swapped with a proton, as described in exercise step 2, the system now has two positive charges.
Since these charges repel, potential energy increases because additional energy is needed to keep them together. Another scenario is in exercise step 3, where replacing a proton with an electron results in two negative charges. Again, repulsion occurs, requiring more energy to maintain their proximity.
In both cases, work must be done against the natural repulsive force, fundamentally affecting electric potential energy in the system.

Charge attraction is integral to understanding atomic structure, especially within models like Bohr's.
Unlike repulsion, attraction happens between opposite charges: positive protons and negative electrons. This attraction acts as a balancing mechanism and is the reason why atoms maintain a stable form, as described in the hydrogen atom model.
Such forces are important because they counterbalance any kinetic energy the electron may have, allowing it to orbit the proton. If you replace a particle to disturb this attraction, like swapping an electron with a proton, the system destabilizes.
Overall, the natural state of oppositely charged particles is one of minimized potential energy, contrary to what occurs when like charges form a repulsed state.