An electric field is uniform and in the positive x direction for postive x and uniform with the same magnitude but in the negative x direction x it is given that E=200 I N/C length 20 cm and radius 5 cm has its centre at the origin and its axis x =-10 cm (a) what is the net ioutward flux through each flate face (b) what is the flux through the side of the cylinder (C ) what is the net outward flux thoght the cylinder (d) what is the net charge inside the cylinder

Explanation

(a) we can see from the that on the left face E and `triangle S` are parallel therefore the outward flux is
(b) for any point on the side of the cylinder E is perpwendicular to `triangle S` and hence E `triangleS=0` therefore the flux out of the side of the cylinder is zero
(c ) net outward flux through the cylinder
`Phi =1.57 +1.57 +0=3.14 N m^(2) c^(-1)`

(d) the net charge within the cylinder can be found by using gauss.s law which gives
`q=epsilon_(0) Phi`
`=2.78 xx10^(-11) c`