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Q.
A uniform electric field $\vec{E}=2 a \hat{i}+b \hat{j}$ passing
through a surface area $A .$ What is the electric flux passing through this surface area if the surface lies in $y z$ plane
Solution:
$\phi=\vec{E} \cdot \bar{A}=(2 a \hat{i}+b \hat{j}) \cdot(A \hat{i})$
$\phi=2 a A$