A nonuniform electric field is directed along the x-axis at…

A nonuniform electric field is directed along the x-axis at all points in space. This magnitude of the field varies with x, but not with respect to y or z. The axis of a cylindrical surface, 0.80 m long and 0.20 m in diameter, is aligned parallel to the x-axis, as shown in the figure. The electric fields E1 and E2, at the ends of the cylindrical surface, have magnitudes of 6000 N/C and 1000 N/C respectively, and are directed as shown in the figure. What is the net electric flux passing through the cylindrical surface?     

A spherical, non-conducting shell of inner radius 10 cm and…

A spherical, non-conducting shell of inner radius 10 cm and outer radius 15 cm carries a total charge Q equal to 15 μC distributed uniformly throughout the volume of the shell. What is the magnitude of the electric field at a distance r = 12 cm from the center of the shell?