Question

Electric flux through an area $dA$ for an electric field $E$ is given by ?

Answer 1

Electric flux is the measurement of the electric field across a given surface in electromagnetism, despite the fact that an electric field cannot pass. That's a way of defining the power of an electric field at some distance from the charge that's generating it.

Complete step by step answer:
The rate of flow of the electric field through a given area is referred to as electric flux . The number of electric field lines passing through a virtual surface determines the electric flux.

Calculation of electric flux:
The dot product of the electric field and area vectors $E$ and $A$ equals the Electric Flux across a surface $A$. The product of their respective magnitudes multiplied by the cosine of the angle between them is the dot product of two vectors.
Hence, $\phi = E.dA$
Where, $\phi$ is the electric flux, $E$ stands for the electric field and $dA$ is the area of the surface.

Electric flux is a scalar quantity. The SI unit for this quantity is $N({m^2}.{C^{ - 1}})$.The number of electric lines of force (or electric field lines) that intersect a given area is the property of an electric field called electric flux. Electric field lines are meant to start with positive electric charges and end with negative charges.

Note: As part of filters, they are used in electronics for temporary energy storage. They are used in electronics as shortcut routes for oscillating signal elements. Photocopying equipment, washing applications such as house-hold air purifiers, and commercial electrostatic precipitators all use electric flux.