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State Gauss's theorem in electrostatics....

State Gauss's theorem in electrostatics. Find the electric flux through a surface of area `50m^(2)` in x-y plane in the electric field `vecE=3hati+2hatj+hatkV.m^(-1)`

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The unit vector along the normal to the xy plane i.e., z axis is `hatk`.
So the area vector `=50hatkm^(2)`
`:.` Electric flux `=intvecE.vecds=int(3hati+2hatj+hatk).vecds`
`=(3hati+2hatj+hatk).intvecds=(3hati=2hatj+2hatk).50hatk`
`=50V.m`
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