An electric field is uniform, and in the positive x-direction for positive x, and uniform with the same magnitude , but in the negative x-direction for negative x. It is given that
`vec(E) = 200 hat(i) N//C for x gt 0 and vec(E) = -200 hat(i) N//C` for x gt 0. A right circular cylinder of length 20 cm and raidus 5cm has its center at the origin and its axis along the x-axis so that one face is at `x = +10 cm` and the other is at `x = -10 cm`.
(a) What is the net outward flux through the side of the cylinder ? (b) What is the net outward flux through the cyclinder ? (c) what is net charge inside the cylinder ?

Options

A. zero
B. `1.86xx10^(-5)C`
C. `1.77xx10^(-11)C`
D. `35.4xx10^(-8)C`