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An infinite number of charges of equal m...

An infinite number of charges of equal magnitude q, but of opposite sign are placed along the x-axis at x =1, x = 2, x=4, x = 8 and so on. The electric potential at the point x=0 due to these charges will be proportional to

A

Infinity

B

Zero

C

`3q//2`

D

`2q//3`

Text Solution

Verified by Experts

The correct Answer is:
d
`V=q-(q)/(2)+(q)/(4)-(q)/(8)=q(1-(1)/(2)+(1)/(4)-(1)/(8)+...oo)`
`V=(qxx1)/([1-(-(1)/(2))])=(q)/((1+(1)/(2))=(2q)/(3)`
Hence , `V=(2q)/(3)`
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