An isolated point charge particle produces an electric ...

CBSE Class 12 Physics 2023 Outside Delhi Set 2 Paper

Question : 3 of 13

Marks: +1, -0

An isolated point charge particle produces an electric filed

{E}↖{→}

at a point

3 {\m}

away from it. The distance of the point at which the filed is

\;{{E}↖{→}}/{4}

will be

Solution: 👈: Video Solution

E=\;{1}/{4 π ε_0} \;{q}/{r^2}

1^{\;\text "st "\;}

case,

E=\;{1}/{4 π ε_0} \;{q}/{3^2}=\;{1}/{4 π ε_0} \;{q}/{9}

.......(1)
In

2^{\;\text "nd "\;}

case,

\;{E}/{4}=\;{1}/{4 π ε_0} \;{q}/{r^2}

......(2)
Taking ratio,

\;4=\;{r^2}/{9}

∴ \;r=6 {\m}

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