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Problem Statement :
(‘Bhelpuri’ refers to a street food dish made my mixing different variety of ingredients)
A setup of thin metal pieces is constructed in a fashion similar to function

where, [.] is GIF , ……(1)
Consider only the region 0<= x <=4p and there are large conducting plates of area ‘A’ placed at x = 5p (plate 2) and x = -p (plate 1). Given is that, A>> 6p.
Now, a small conducting ball with charge ‘+q’ and mass ‘m’ is thrown with a velocity towards the y=p graph in (1) as shown below.

The collision between metal step and ball is perfectly inelastic in nature. The ball and the metal step are connected to a circuit as shown below :

(The above figure is just the electric circuit which shows how things are connected, it doesn’t give the representation of actual setup. For actual setup, refer question)
Question :
(Assume no friction anywhere and consider that the metal steps don’t affect the electric field between the plates)
Solution has been uploaded. You can access the solution by clicking below
