very thin glass rod 4 meters long is rubbed all over with a silk cloth. It gains a uniformly distributed charge 1.3 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 -5 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). What approximations did you make, if any? Check all that apply. Use approximate formula for electric field of a charged spherical shell. Assume distance to observation location is small compared to length of rod Neglect polarization of rod Neglect polarization of balloons Length 4 m (drawing not to scale) ,2 cm N 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 3 cm Radius 1.2 cm (b) Next a proton is placed at that same location (marked by the x). What is the force acting on the proton?

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Chapter23: Electric Forces
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Problem 42PQ: Three identical conducting spheres are fixed along a single line. The middle sphere is equidistant...
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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 1.3 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 -5 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 cm apart (4.4 cm between centers).
Length 4 m (drawing not to scale)
2 cm
F---
What approximations did you make, if any? Check all that apply.
O Use approximate formula for electric field of a charged spherical shell.
Assume distance to observation location is small compared to length of rod
O Neglect polarization of rod
O Neglect polarization of balloons
0.6 cm
O.
N
(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 È at this
location? What are the correct distances from sources to the observation location? What is the direction of È 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 =
N/C
3 cm
Radius 1.2 cm
(b) Next a proton is placed at that same location (marked by the x). What is the force acting on the proton?
F =
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 1.3 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 -5 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 cm apart (4.4 cm between centers). Length 4 m (drawing not to scale) 2 cm F--- What approximations did you make, if any? Check all that apply. O Use approximate formula for electric field of a charged spherical shell. Assume distance to observation location is small compared to length of rod O Neglect polarization of rod O Neglect polarization of balloons 0.6 cm O. N (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 È at this location? What are the correct distances from sources to the observation location? What is the direction of È 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 = N/C 3 cm Radius 1.2 cm (b) Next a proton is placed at that same location (marked by the x). What is the force acting on the proton? F =
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