A negatively charged particle initially at rest is placed in an electric field that varies from point to point. There are no other fields. Then,

A long cylindrical shell carries positive surface charge $\sigma$ in the upper half and negative surface charge $-\sigma$ in the lower half. The electric field lines around the cylinder will look like figure given in: (figures are schematic and not drawn to scale)

The electric field in a certain region is acting radially outward and is given by $E=Ar$. A charge contained in a sphere of radius $a$ centred at the origin of the field, will be given by 

What will be the value of flux passing through surface S due to the given charge distribution?