A very thin glass rod 4 m long is rubbed all over with a silk cloth (see figure below). It gains a uniformly distributed charge +1.8 × 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 -2.5 × 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 magnitude of the electric field at the location marked by the ×, 0.6 cm to the right of the center of the left balloon. Also calculate the angle the electric field makes with the horizontal. (Take the horizontal to be the +x axis pointing to the right.) counterclockwise from the +x axis
(b) Next, a neutral hydrogen atom is placed at that same location (marked by the ×). Draw a diagram showing the effect on the hydrogen atom while it is at that location.The polarizability of atomic hydrogen has been measured to be α= 7.4 × 10 ⁻⁴¹ C · m/(N/C). What is the distance between the center of the proton and the center of the electron cloud in the hydrogen atom?