An infinite number of point charges, each carrying $1 \mu \mathrm{C}$ charge, are placed along the y -axis at $\mathrm{y}=1 \mathrm{m}, 2 \mathrm{~m}, 4 \mathrm{~m}, 8 \mathrm{~m}$. $\_\_\_\_$
The total force on a 1 C point charge, placed at the origin, is $x \times 10^3 \mathrm{~N}$. The value of $x$, to the nearest integer, is $\_\_\_\_$ .
[Take $\frac{1}{4 \pi \epsilon_0}=9 \times 10^9 \mathrm{Nm}^2 / \mathrm{C}^2$ ]