If the electric field lines is flowing along axis of a cylinder, then the flux of this field through the cylindrical surface with the axis parallel to the field is [where r=radius of cylinder]

Options

(a) σ/2πrε₀
(b) σ/ε₀
(c) zero
(d) σ/2ε₀

Correct Answer:

zero

Explanation:

As we have to find the electric flux through the cylindrical surface and we are given that the electric field is flowing along axis of cylinder.
So as we draw area vector on cylindrical surface it will make an angle of 90• by which the cos 90 will become 0 and ans would be 0