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 \(e\).

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