In Rutherford’s nuclear model of the atom, if F_e indicates electrostatic force between the electron and nucleus and F_c indicates the centripetal force on revolving electron, then

The electrostatic force of attraction ${\mathrm{F}}_{\mathrm{e}}$ between the revolving electrons and the nucleus provides the requisite centripetal force ${\mathrm{F}}_{\mathrm{c}}$ to keep them in their orbits.Thus, for a dynamically stable orbit in hydrogen atom.

${\mathrm{F}}_{\mathrm{e}}={\mathrm{F}}_{\mathrm{c}}$