Learning Materials
Features
Discover
Chapter 15: Q16Q (page 617)
The electric field inside a capacitor is shown on the left in Figure 15.50. Which option (1–5) best represents the electric field at location A?
Option (3) best represents the electric field at location A.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
In Figure 15.61 are two uniformly charged disks of radius R that are very close to each other (gap≪R). The disk on the left has a charge of−and the disk on the right has a charge of +(is greater than). A uniformly charged thin rod of length L lies at the edge of the disks, parallel to the axis of the disks and cantered on the gap. The rod has a charge of +.
(a) Calculate the magnitude and direction of the electric field at the point marked × at the center of the gap region, and explain briefly, including showing the electric field on a diagram. Your results must not contain any symbols other than the given quantities R,, , L, and(and fundamental constants), unless you define intermediate results in terms of the given quantities. (b) If an electron is placed at the center of the gap region, what are the magnitude and direction of the electric force that acts on the electron?
By thinking about the physical situation, predict the magnitude of the electric field at the center of a uniformly charged ring of radius carrying a charge role="math" localid="1668494008173" . Then use the equation derived in the text to confirm this result.
You stand at location A, a distance d from the origin, and hold a small charged ball. You find that the electric force on the ball is 0.08 N. You move to location B, a distance 2d from the origin, and find the electric force on the ball to be 0.04 N. What object located at the origin might be the source of the field? (1) A point charge, (2) A dipole, (3) A uniformly charged rod, (4) A uniformly charged ring, (5) A uniformly charged disk, (6) A capacitor, (7) A uniformly charged hollow sphere, (8) None of the above If the force at B were 0.0799 N, what would be your answer? If the force at B were 0.01 N, what would be your answer? If the force at B were 0.02 N, what would be your answer?
Consider a thin plastic rod bent into a semicircular arc of radius with center at the origin (Figure 15.57). The rod carries a uniformly distributed negative charge . 
(a) Determine the electric field at the origin contributed by the rod. Include carefully labeled diagrams, and be sure to check your result. (b) An ion with charge and mass is placed at rest at the origin. After a very short time the ion has moved only a very short distance but has acquired some momentum .Calculate .
A thin rod lies on the x axis with one end atand the other end at, as shown in Figure 15.51. A charge of
is spread uniformly over the surface of the rod. We want to set up an integral to find the electric field at location due to the rod. Following the procedure discussed in this chapter, we have cut up the rod into small segments, each of which can be considered as a point charge. We have selected a typical piece, shown in red on the diagram
Answer using the variables as appropriate. Remember that the rod has charge. (a) In terms of the symbolic quantities given above and on the diagram, what is the charge per unit length of the rod? (b) What is the amount of chargeon the small piece of length? (c) What is the vector from this source to the observation location? (d) What is the distance from this source to the observation location? (e) When we set up an integral to find the electric field at the observation location due to the entire rod, what will be the integration variable?
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App