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Two point charges +8q and -2q are locate...

Two point charges `+8q` and `-2q` are located at `x=0` and `x=L` respectively. The location of a point on the x axis at which the net electric field due to these two point charges is zero is

A

8L

B

4L

C

2 L

D

L

Text Solution

Verified by Experts

The correct Answer is:
C

`rArr E_(1)=k(8q)(L+r)^(2)) (hati)`
`rArr E_(2)=k(2q)/(r^(2))(-hati)`
`E=E_(1)+E_(2)=`
`rArr (k8 q)/((L+r)^(2))=(k2q)/(r^(2))`
`rArr 4r^(2)=(L+r)^(2)`
`rArr 2r=L+r`
`rArr r=L`
`:. x=L+r`
=2L
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