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Five charges, q each are placed at the c...

Five charges, q each are placed at the coreners of a regular pentagone of side.

(a) (i) What will be the electric field at O, the centre of the pentagon ?
(ii) What will be the electric field 0 if the charge from one of the corners (say A) is removed ?
(iii) What will be the electric field at 0 if the charge q at A is replaced by `-q` ?
(b) How would your answer to (a) be affected if pentagon is replaced by n-sided regular polygon with charge q at each of its coreners ?

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