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Electric field intensity at a point B d...

Electric field intensity at a point B due to a point charge Q kept at point A is `24 NC^(-1)`, and electric potential at B due to the same charge is `12 JC^(-1)`. Calculate the distance `AB` and magnitude of charge.

A

`10^(-6)C`

B

`10^(-7)C`

C

`10^(-10)C`

D

`10^(-9)C`

Text Solution

Verified by Experts

The correct Answer is:
D

Electric field of a point charge.
`E=1/(4piepsilon_0) q/r^2=24 N C^(-1)`
Electric potential of a point charge,
`E=1/(4piepsilon_0) q/r=12 J C^(-1)`
The distance PQ is `r=V/E=12/24`=0.5 m
`therefore` Magnitude of charge
`q'=4piepsilon_0 Vr`
`=1/(9xx10^9)xx12xx0.5=0.667xx10^(-9)` C
`=10^(-9)` C
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