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.

Options

A. `(q)/(3piepsilon_(0))`
B. `(q)/(6piepsilon_(0))`
C. `(q)/(2piepsilon_(0))`
D. `(q)/(4piepsilon_(0))`

Answer

1

Explanation

`E=(q)/(4piepsilon_(0))[(1)/(1^(2))+(1)/(2^(2))+(1)/(4^(2))+..........]`