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A very thin glass rod 4 meters long is rubbed all over with a silk cloth. It gains a uniformly distributed charge 1.8 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 -8 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) 13 cm N/C x What approximations did you make, if any? Check all that apply. Assume distance to observation location is small compared to length of rod O Use approximate formula for electric field of a charged spherical shell. ✔Neglect polarization of balloons ✔Neglect polarization of rod (b) Next a proton is placed at that same location (marked by the x). What is the force acting on the proton? X 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 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.) E- N 0.6 cm O Radius 1.2 cm

A very thin glass rod 4 meters long is rubbed all over with a silk cloth. It gains a uniformly distributed charge 1.8 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 -8 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) 13 cm N/C x What approximations did you make, if any? Check all that apply. Assume distance to observation location is small compared to length of rod O Use approximate formula for electric field of a charged spherical shell. ✔Neglect polarization of balloons ✔Neglect polarization of rod (b) Next a proton is placed at that same location (marked by the x). What is the force acting on the proton? X 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 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.) E- N 0.6 cm O Radius 1.2 cm

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 1.8 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 -8 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) N/C What approximations did you make, if any? Check all that apply. ✔Assume distance to observation location is small compared to length of rod Use approximate formula for electric field of a charged spherical shell. Neglect polarization of balloons ✔Neglect polarization 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 = 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 È 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.) Ē = O 3 cm Radius 1.2 cm
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 1.8 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 -8 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) N/C What approximations did you make, if any? Check all that apply. ✔Assume distance to observation location is small compared to length of rod Use approximate formula for electric field of a charged spherical shell. Neglect polarization of balloons ✔Neglect polarization 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 = 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 È 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.) Ē = O 3 cm Radius 1.2 cm
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