The electrical field within a continuous distribution of charge is given by the equation E= cxi+cyj+czk, where c= 1N/C(m) is a constant, (x,y,z) are cartesian coordinates, and (i,j,k) are the cartesian unit vectors.
a) Write the equation for E in terms of the position vector r. What kind of symmetry is associated with this funciton?
b) What is the electric flux through a spherical surface of radius 1m centered at the origin of the coordinates? How much electrical charge is located inside this sphere?
c) What is the electric flux through a cube 1 m on a side centered at the origin of the coordinates? How much electrical charge is located inside this cube?