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Question

An infinite number of charges 'q' each are placed along the x - axis at x =1, x=4 ,x=8 and so on. If the distance are in meters calculate the electric potential at x=0
  1. 3q8πE0
  2. q2πϵ0
  3. 2qπϵ0
  4. 4qπϵ0

A
q2πϵ0
B
2qπϵ0
C
3q8πE0
D
4qπϵ0
Solution
Verified by Toppr

V0=kq1+kq4+kq8+.......................=kq(1+122+123+..........)=kq(1+14112)=kq(1+24)=3kq2=3q8πE0
Hence, Option A is correct.

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