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  4. The electric field at 20 cm from the centre of a uniformly charged non-conducting sphere of radius 10 cm is E. Then at a distance 5 cm from the centre it will be

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Q. The electric field at $20 \,cm$ from the centre of a uniformly charged non-conducting sphere of radius $10 \,cm$ is $E$. Then at a distance $5 \,cm$ from the centre it will be

Electric Charges and Fields

Solution:

$R=10 \,cm , $
$r=20\, cm $
$E=\frac{k Q}{(0.2)^{2}}$
Now at $r=5 \,cm$
$E'=\frac{k Q(0.05)}{(0.1)^{3}}$
Now, $\frac{E'}{E}=\frac{(0.05)}{(0.1)^{3}}(0.2)^{2}=2$
$E=2 \,E$