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An infinite number of charges each of ch...

An infinite number of charges each of charge `1 muC`, are placed on the X-axis with coordinates `x = 1, 2, 4, 8, ........oo`. If a charge of 1 C is kept at the origin, then what is the net force acting on 1 C charge

A

9000 N

B

12000N

C

24000 N

D

36000N

Text Solution

Verified by Experts

The correct Answer is:
B
`F=k [(1 times 10^-6)/(1)^2+(1 times 10^-6)/(2)^2+(1 times 10^-6)/(4)^2+….. Infty]`

`F=9 times 10^9 times 10^-6 [1/1^2+1/2^2+1/2^4+….. Infty] =9 times 10^3[1/(1-1/4)]=12000N`
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