An infinite number of charges each equal to q, are placed along the X-axis at `x = 1, x = 2, x = 4, x = 8`,…….. and so on. (i) find the electric field at a point `x = 0` due to this set up of charges. (ii) What will be the electric field if the above setup, the consecutive charges have opposite signs.A. `(q)/(3piepsilon_(0))`B. `(q)/(6piepsilon_(0))`C. `(q)/(2piepsilon_(0))`D. `(q)/(4piepsilon_(0))`

An infinite number of charges each equal to q, are placed along the X-

1.	An infinite number of charges each equal to q, are placed along the X-axis at `x = 1, x = 2, x = 4, x = 8`,…….. and so on. (i) find the electric field at a point `x = 0` due to this set up of charges. (ii) What will be the electric field if the above setup, the consecutive charges have opposite signs.A. `(q)/(3piepsilon_(0))`B. `(q)/(6piepsilon_(0))`C. `(q)/(2piepsilon_(0))`D. `(q)/(4piepsilon_(0))`
Answer» Correct Answer - 1 `E=(q)/(4piepsilon_(0))[(1)/(1^(2))+(1)/(2^(2))+(1)/(4^(2))+..........]`

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