A very thin glass rod 4 meters long is rubbed all over with a silk cloth. It gains a uniformly distributed charge 1.5 ✕ 10−6 C. Two small spherical rubber balloons of radius 1.2 cm are rubbed all over with wool. They each gain a uniformly distributed charge of -4 ✕ 10−8 C. The balloons are near the midpoint of the glass rod, with their centers 3 cm from the rod. The balloons are 2 cm apart (4.4 cm between centers).

(a) Find the net electric field at the location marked by the ✕, 0.6 cm to the right of the center of the left balloon. Things to think about: Which objects make nonzero contributions to vector E at this location? What are the correct distances from sources to the observation location? What is the direction of vector E due to the rod?