Work done in taking an electron around a proton in a circular loop is 0 Should the proton necessarily - Physics - Electrostatic Potential And Capacitance

Question

Work done in taking an electron around a proton in a circular
loop is 0 Should the proton necessarily be at the centre of the
loop?

Kranav Sharma · Accepted Answer

Work done in moving a particle in a circular orbit would always
be zero, as the net displacement is zero
Let's take the classical picture
The electron needs to revolve around the center of mass of the
electron-proton system, which incidentally would be inside the
proton itself as the mass of protons is quite high compared to that
of electron This is analogous to the Earth-Moon system in which the
center of mass of the system is inside the earth
Now, the electron will always move in such a way (which proton
at its center) unless acted upon by some external force

Work done in taking an electron around a proton in a circular loop is 0. Should the proton necessarily be at the centre of the loop?