figure shows a cylindrical gosi surface for an infinitely long thin straight wire of uniform linear charge density
for which surface is the electric flux zero
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Flux = E•A = E×A×cosx
where, E is the electric field
A is the area of cross section through which the field is passing
x is the angle between E vector and A vector
Flux = 0 = E×A×cosx
cosx = 0
x = 90°
Therefore, the regions where E vector and A vector are perpendicular
In the curved area of the cylinder E vector and A vector are perpendicular to each other
Therefore in the curved area the flux is 0
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