Question

An infinite number of charges each equal to q are placed along x axis at x=1, x=2,x=4,x=8 and so on find the potential and electric field at the point x=0 due to this set of charges

Answer 1

The answer is 12×10^(9)×q N/c
as in this case E=4/3 (F/q)

Answer 2

Answer : (b) 2kq

Explanation :

V=kq1+kq2+kq4+kq8+kq16+−−−infinity

V=kq[1/1+1/2+1/2^2+1/2^3+1/2^4+−−−−]

V=kq×1/1−(12)

=2kq.

Where k = 1/4πe