An infinite number of charges, each of charge 1 μC, are placed on the x-axis with co-ordinates x = 1, 2, 4, 8, ····∞meters· If a charge of 1 C is kept at the origin, then what is the netforce acting on 1 C charge?

The schematic diagram of distribution of charges on x-axis is shown in figure below.Total force acting on 1 C charge is given byF=14πεo1×1×10−612+1×1×10−622+1×1×10−6421×1×10−682+...∞=10−64πεo11+14+116+164+...∞=9×109×10−611−14=9×109×10−6×43=9×103×43=12000 N