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. What is the potential at x=0 due to this set of charges?
Potential due to a single charge is given by
V=14πε0.qR
∴ Potential at x=0.
V=v1+v2+v3+…
=14πε0.q1+14πε0.q2+14πε0.q4+14πε0q8
=q4πε0.1(1−12)
=2q4πε0