For a uniformly charged ring of radius $R$ , the electric field on its axis has the largest magnitude at a distance $h$ from its centre. Then value of $h$ is :

\frac{R}{\sqrt{2}}

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R \sqrt{2}

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\frac{R}{\sqrt{5}}

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R

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Solution

The correct option is C $\frac{R}{\sqrt{2}}$
Electric field on axis of ring
$E = \frac{k Q h}{(h^{2} + R^{2})^{3 / 2}}$
for maximum electric field
$\frac{d E}{d h} = 0$
$\Rightarrow h = \frac{R}{\sqrt{2}}$

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For a uniformly charged ring of radius R, the electric field on its axis has the largest magnitude at a distance h from its centre. Then value of h is :

The correct option is C R√2Electric field on axis of ringE=kQh(h2+R2)3/2for maximum electric fielddEdh=0⇒h=R√2

For a uniformly charged ring of radius $R$ , the electric field on its axis has the largest magnitude at a distance $h$ from its centre. Then value of $h$ is :

The correct option is C $\frac{R}{\sqrt{2}}$
Electric field on axis of ring
$E = \frac{k Q h}{(h^{2} + R^{2})^{3 / 2}}$
for maximum electric field
$\frac{d E}{d h} = 0$
$\Rightarrow h = \frac{R}{\sqrt{2}}$