A rod and two balloons A very thin glass rod 4 meters long is rubbed all over with a silk cloth. It gains a uniformly distributed charge 1.1 × 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) 0.6 cm 2 cm O. 3 cm Radius 1.2 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 Ẻ at this location? What are the correct distances from sources to the observation location? What is the direction of Ẻ 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.) E = (-9.99e06,0,0) N/C What approximations did you make, if any? Check all that apply. Use approximate formula for electric field of a charged spherical shell. Neglect polarization of balloons Neglect polarization of rod Assume distance to observation location is small compared to length of rod × (b) Next a proton is placed at that same location (marked by the x). What is the force acting on the proton? F(-4.24e 13,0,0) N
A rod and two balloons A very thin glass rod 4 meters long is rubbed all over with a silk cloth. It gains a uniformly distributed charge 1.1 × 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) 0.6 cm 2 cm O. 3 cm Radius 1.2 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 Ẻ at this location? What are the correct distances from sources to the observation location? What is the direction of Ẻ 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.) E = (-9.99e06,0,0) N/C What approximations did you make, if any? Check all that apply. Use approximate formula for electric field of a charged spherical shell. Neglect polarization of balloons Neglect polarization of rod Assume distance to observation location is small compared to length of rod × (b) Next a proton is placed at that same location (marked by the x). What is the force acting on the proton? F(-4.24e 13,0,0) N
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter23: Electric Forces
Section23.2: Models Of Electrical Phenomena
Problem 23.1CE: Initially a glass rod and a piece of silk are neutral. After you rub the silk against the rod, the...
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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 a silk cloth. It gains a uniformly distributed charge 1.1 × 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)
0.6 cm
2 cm
O.
3 cm
Radius 1.2 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 Ẻ at this location? What are the correct distances from
sources to the observation location? What is the direction of Ẻ 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.)
E = (-9.99e06,0,0)
N/C
What approximations did you make, if any? Check all that apply.
Use approximate formula for electric field of a charged spherical shell.
Neglect polarization of balloons
Neglect polarization of rod
Assume distance to observation location is small compared to length of rod
×
(b) Next a proton is placed at that same location (marked by the x). What is the force acting on the proton?
F(-4.24e
13,0,0)
N
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