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  4. Some equipotential surfaces, which are normal to x-y plane are shown in the adjoining figure. The magnitude of the electric field is (.V/cm.) :- <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-lyn4zwmlxlveitcb.jpg />

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Q. Some equipotential surfaces, which are normal to $x-y$ plane are shown in the adjoining figure. The magnitude of the electric field is $\left(\right.V/cm\left.\right)$ :-
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NTA AbhyasNTA Abhyas 2022

Solution:

Equipotential surfaces shown in the figure are equidistant, parallel and have equal potential difference between two consecutive surfaces.This information is clear indication of uniform electric field which is given as
$\left|\right.\overset{ \rightarrow }{E}\left|\right.=-\frac{\Delta V}{\Delta r}=\frac{20 - 10}{B C}=\frac{10}{10 sin 30 ^\circ }$
$\therefore E=\frac{10}{5}=2V/cm$