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  4. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/041ff9f2d02874500a1b6ae8de6aecd8-.png /> The variation of electric field along the Z-axis due to a uniformly charged circular ring of radius 'a' in XY plane is shown in the figure. The value of coordinate M will be

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The variation of electric field along the $Z$-axis due to a uniformly charged circular ring of radius '$a$' in $XY$ plane is shown in the figure. The value of coordinate $M$ will be

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Solution:

For $E_{z}$ to be maximum,
$\frac{d E_{z}}{d z}=0$
$\therefore z=a / \sqrt{2}$ or $\frac{Z}{a}=\frac{1}{\sqrt{2}}$