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(a) Two point charges Q and 16 Q are fix...

(a) Two point charges `Q` and `16 Q` are fixed at separation `d`. Where should a third point charge be placed between them so that it experiences no force I.e. in equilibrium ?
(b) In the previous problem , if we replace `Q` by `- Q` , where should the third charge be placed on the joining the charges so that it is equilibrium ?
(c ) Three point charges `Q , q` and `Q` are placed at `x = 0 , x = d//2` and `x = d`. Find `q` in terms of `Q` so that all charges are in equilibrium.
(d) Two point charges `9 Q` and `25 Q` are placed at separation `d`. Where should a third charge `q` be placed between them so that all charges are in equilibrium ? Also find the value of `q` and its nature.

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