A (simplistic) model of the hydrogen atom treats the electron as a particle carrying a charge \(-e\) orbiting a proton (a particle carrying a charge \(+e\) ) in a circle of radius \(r_{\mathrm{H}}=0.53 \times 10^{-10} \mathrm{~m} .(\) a) How much energy is required to completely separate the electron from the proton? For simplicity, ignore the electron's kinetic energy. (b) Across what potential difference does the electron travel as it is separated from the proton?