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The electric fields in a region is given...

The electric fields in a region is given by `vec(E)=E_(0)(x)/(L)hat(i)` ,Find the charge contained inside a cubical volume bounded by the surface `x=0,x=L,y=0,y=L,z=0,z=L`.

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At `x=0,E=0` and at `x=t,vec(E)=E_(0)hat(i)`
The direction of the field is along the "x-axis" so it will cross the yz-face of the cubic.the flux of this field

`phi=phi_("left face")+phi_("right face"),=0+E_(0)L^(2)=E_(0)L^(2)`
By Gauss law , `phi=(q)/(E_(0)):.q=epsilon_(0)phi=epsilon_(0)E_(0)L^(2)`
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