(1) Electric field lines: There are two uniform electric fields: E1 is in the positive x direction with 100 N/C, and E2 is in the positive y direction with 50 N/C. How would you draw the electric field lines for these two electric fields? (You may use the scale of 1 line per 2 cm is for 10 N/C).
(2) Electric flux: A uniform electric field is 100 N/C in the positive x-direction. What is the electric flux of this field passing through an area of 25 cm^2 that is in the x-y plane?
(3) Gauss's law and more: There is a point charge, 50 micro C, at the center of a conducting spherical shell (with net charge of zero) of an inner radius 10 cm, and an outer radius of 15 cm. Describe the electric field lines inside the cavity (r < 10 cm), inside the conducting shell (10cm15 cm).