Moving an electron from a distance r from a proton to infinity results in a change in the system's energy, which is defined as zero at infinity. This process requires energy input, which is converted into potential energy stored in the electric fields surrounding the charges. The law of conservation of energy remains intact, as the energy is not lost but rather redistributed within the electric fields. The energy associated with the electric fields increases as the electron is moved away.
PREREQUISITESStudents of physics, educators teaching electrostatics, and anyone interested in the principles of energy conservation in atomic systems.
You need energy to do this.Suppose an electron initially present at distance r from the proton is moved away to infinity
Ok, this is an arbitrary definition of the energy. Fine.the energy of the system is taken to be zero
It is now potential energy. You can even calculate it, if you integrate over the energy stored in the electric fields around the charges and compare this to the field configuration with the electron at distance r.If it is so where does the energy pumped into shift away the electron goes
No. You increase the energy of the electric fields.and thus the law of conservation of energy is violated