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  4. If overset arrow E=(E0 x/a) hati(.x-mt.) then flux through the shaded area is:- <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-maz3dni7slku7o3z.jpg />

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Q. If $\overset{ \rightarrow }{E}=\frac{E_{0} x}{a}\hat{i}\left(\right.x-mt\left.\right)$ then flux through the shaded area is:-
Question

NTA AbhyasNTA Abhyas 2022

Solution:

$E=\frac{E_{0}}{a}x\hat{i}$
$E$ at shaded region
$E=E_{0}\frac{a \hat{i}}{a}\Rightarrow E=E_{0}\hat{i}$
$\Rightarrow \phi=E_{0}a^{2}$