A uniform electric field is given as `[E = 100 hat(i) N//C]` for `x gt 0 and E- 100 hat(i) N//C` for `x lt 0`. A right circular cylinder of length 20 cm and radius 5cm has its centre at the origin and its axis along the X-axis, so that one face is at `x= +10` cm and other is at `x= -10`cm.
What is the net outward flux through each flat face?

Explanation

On the left face, the outward flux is `phi_(L)= E.Delta S= -100hat(i) .Delta S= 100Delta S`
Since, `hat(i).Delta S= -Delta S= 100 xx pi (0.05)^(2)`
`=0.785 N-m^(2)C^(-1)`
Similarly, on the right face, E and `Delta S` are parallel and therefore
`phi_(R )= E.Delta S`
`=0.785 N-m^(2)C^(-1)`