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An infinite number of charges, each of c...

An infinite number of charges, each of charge q, are located along the x-axis at x=1, x=2 x=4, x=8 and so on. Find the potential at x=0.

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Potential at x=0 due to other charges is
`V=1/(4pi epsi_(0)) [q/1+q/2+q/4+....]=1/(4pi epsi_(0)).q p[1/1 +1/2 +1/4+....]`
`=1/(4pi epsi_(0)).q [1/(1-1/2)] ("the term inside the brackets is in GP")=(1)/(4pi epsi_(0)).2q =(q)/(2pi epsi_(0)) "volts"`
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