Given the electric field in the region E= 2xi, find the net electric flux through the cube and the charge enclosed by it

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electricfield

#1

Given the electric field in the region E= 2xi, find the net electric flux through the cube and the charge enclosed by it.


#2

Since, the electric field has only x-component, for faces normal to X- direction, the angle between E It
and ∆S is ± $\pi$/2. Therefore, the flux is separately zero
for each of the cube except the shaded ones. The magnitude of the electric field at the left face is
$E_{ L }$ = 0
The magnitude of the electric field at the right face is
$E_{ R}$ =3a

The corresponding fluxes are