# Electric Field Intensity at the Origin!

An infinite number of charges each of magnitude $$q$$ are placed on the $$x$$-$$\text {axis}$$ at the distance of $$1,2,4,8,16,\ldots$$ $$\text{m}$$ respectively. Find the intensity of electric field at the origin.

If the intensity can be expressed in the form $$\dfrac { q }{ n\pi { \varepsilon }_{ o } }$$, find $$\Gamma (n+1)$$.

• Assume the medium to be vacuum.

• Here, $$\Gamma (n)$$ and $${ \varepsilon }_{ o }$$ represent the Gamma function and permittivity of free space respectively.

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