A particle of mass m and charge `+ q` enters horizontally with speed `V_(0)` midway between the horizontal plates of a parallel plate capacitor at time `t = 0`. Separation between the capacitor plates is ‘d’ and it starts getting charged, by a constant current source, at time t = 0. Plate area of the capacitor is A. It was found that the particle just misses (to hit) the lower plate. Assume that the plates are quite long and acceleration due to gravity is g.
(a) Give a rough sketch of the path of the particle.
(b) Find the constant current `(i_0)` supplied by the source to the capacitor.
Consider no magnetic force on the charge

Answer

`(##IJA_PHY_V02_C07_E01_047_A01##)`
(b) `i_(0)=(2mgAin_(0))/(q)sqrt((g)/(3d))`