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If an electron at rest is initially located at distance r from the proton is shifted to infinity what is the energy of electron proton system in the final state?
The energy of a proton-electron system, when the electron is moved from a distance r to infinity, is determined by the electrostatic potential energy. Initially, the potential energy is given by the formula U = -k * (e^2 / r), where k is Coulomb's constant and e is the charge of the electron. As the electron approaches infinity, the potential energy approaches zero, indicating that the total energy of the system transitions from a negative value to zero. This reflects the work done against the electrostatic force to separate the electron from the proton.
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