A rod and two balloons A very thin glass rod 4 meters long rubbed all over with a silk cloth. It gains a uniformly distributed charge 1.2 x 10-6 C. Two small spherical rubber balloons of radius 1.2 cm are rubbed all over with wool. They each g uniformly distributed charge of -4 x 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). Length 4 m (drawing not to scale) 2 cm 3 cm 1.2 cm 0.6 cm (a) Find the net electric field at the location marked by the x, 0.6 cm to the right of the center of the left balloon. Things to think about: Which objects make nonzero contributions to E at this location? What are the correct distances from sources to the observation location? What is the direction of E 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 What approximations did you make, if any? Check all that apply. O Assume distance to observation location small compared to length of rod O Neglect polarization of rod O Neglect polarization of balloons O Use approximate formula for electric field of a charged spherical shell. (b) Next a proton is placed at that same location (marked by the x). What is the force acting on the proton? F- <1.99 - 10-14,- 2.88 10-14,0> N
A rod and two balloons A very thin glass rod 4 meters long rubbed all over with a silk cloth. It gains a uniformly distributed charge 1.2 x 10-6 C. Two small spherical rubber balloons of radius 1.2 cm are rubbed all over with wool. They each g uniformly distributed charge of -4 x 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). Length 4 m (drawing not to scale) 2 cm 3 cm 1.2 cm 0.6 cm (a) Find the net electric field at the location marked by the x, 0.6 cm to the right of the center of the left balloon. Things to think about: Which objects make nonzero contributions to E at this location? What are the correct distances from sources to the observation location? What is the direction of E 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 What approximations did you make, if any? Check all that apply. O Assume distance to observation location small compared to length of rod O Neglect polarization of rod O Neglect polarization of balloons O Use approximate formula for electric field of a charged spherical shell. (b) Next a proton is placed at that same location (marked by the x). What is the force acting on the proton? F- <1.99 - 10-14,- 2.88 10-14,0> N
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A rod and two balloons
A very thin glass rod 4 meters long is rubbed all over with
silk cloth. It gains a uniformly distributed charge 1.2 x 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 x 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).
Length 4 m (drawing not to scale)
2 cm
3 cm
Radius 1.2 cm
0,6 cm
(a) Find the net electric field at the location marked by the x, 0.6 cm to the right of the center of the left balloon. Things to think about: Which objects make nonzero contributions to E at this location? What are
the correct distances from sources to the observation location? What is the direction ofE 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
What approximations did you make, if any? Check all that apply.
V Assume distance to observation location is small compared to length of rod
V Neglect polarization of rod
V Neglect polarization of balloons
O Use approximate formula for electric field of a charged spherical shell.
(b) Next a proton is placed at that same location (marked by the x). What is the force acting on the proton?
F= <1.99 - 10-14
– 2.88 · 10¬14,0>
N
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