The gap between two plane of a capacitor equal to `d` is filled with a gas. One of the plates emits `V_(0)` electrones per second which, moving in an electric field, ionize gas molecules, this way each electrons produces `alpha` new electrons (and ions ) along a unit length of its path. FInd the electrons at the opposite plate, negelecting the ionization of gas molecules by formes ions.

Explanation

If `v` = number of electrons moving of the anode at distance `x`, then
`(dv)/(dx) = alpha v` or `v = v_(0) e^(alpha x)`
Assuming saturation, `I = e v_(0) e^(alpha d)`