Olympiad problem

The gap between two plane plates of a capacitor equal to $d$ is filled with a gas. One of the plates emits $n$ electrons per second, while moving in an electric field, ionize gas molecules, this way each electron produces $w$ new electrons (and ions) along a unit length of its path. Find the electronic current at the opposite plate, neglecting the ionization of a gas molecules by formed ions.

Take charge on electron as $e$ .