Question 1

Imagine a space in which there is a density of charge V(r) = (^r)/(r), originally centered. Determine an expression for the electrostatic field at a distance b from the origin. It helps to notice the spherical symmetry of the situation (i.e. use spherical coordinates!)

Question 2

Consider a semi-spherical surface defined by r = 3m; < < /; < < /. Determine the flow electric passing through this surface for an electric field = sec x + 5 (volt/meter). [Note that a mixture of variables from the Cartesian and spherical systems is used!]