1.

Infinite charges of magnitude `q` each are lying at `x= 1,2,4,8….meter` on `X`-axis. The value of intensity of electric field at point `x=0` due to these charges will beA. `12xx10^(9)qN//C`B. ZeroC. `6xx10^(9)qN//C`D. `4xx10^(9)qN//C`

Answer» Correct Answer - a
Net field at origin `E= (q)/(4piepsilon_(0))[1/(1^(2))+1/(2^(2))+1/(4^(2)).....oo]`
`(q)/(4piepsilon_(0))[1+1/4+1/(16)+....oo]`
`=(q)/(4piepsilon_(0))[1/(1-1/4)]= 12xx10^(9)qN//C`


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