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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 (Greatest integer function) , ……(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 :
If this is the case, then what should be the magnitude of the electric field required in order to make the ball, just cross the lower metal step (i.e. y=0) ?
(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 the button below
Solution to Bhelpuri Problem (Click Here)