A very thin glass rod 4 meters long is rubbed all over with a
silk cloth. It gains a uniformly distributed charge 1.7 ✕
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 -3 ✕ 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 at this location? What are the correct distances from
sources to the observation location? What is the direction
of due to the rod? (The drawing is not to scale; read
the problem statement carefully. Assume the +x axis is to
the right, the +y axis is up, and the +z axis is
out.)
= N/C
(b) Next a proton is placed at that same location (marked by the
✕). What is the force acting on the proton?
= N
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