Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 20, Problem 80P
A rod of length 2L lies on the x-axis, centered at the origin, and carries line charge density λ = λ0(x/L), where λ0 is a constant, (a) Find an expression for the electric field strength at points on the x-axis for x > L. (b) Show that for x >> L your result has the 1/x 3 dependence of a dipole field, and determine the dipole moment of the rod.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
This question checks that you can use the formula of the electric field due to a long, thin wire with charge on it. The field due to an infinitely long, thin wire with linear charge
E =
12X
Απερ η
density is
Imagine a long, thin wire with a constant charge per unit length of -2.3×10 C/m. What is the magnitude of the electric field at a point 10 cm from the wire (assuming that the
point is much closer to the wire's nearest point than to either of its ends)? Give your answer in units of kN/C.
-7
Consider two wires AP = 4 m and PB = 2 m and a semicircle BD of radius 2 m (see picture). All the wires are uniformly charged with = + 10-7 C/m. Determine the magnitude and direction of the electric field at point O!
Suppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field. The field magnitude is
most important along the central perpendicular axis of the disk, at a point P at distance 2.60R from the disk (see Figure (a)). Cost
analysis suggests that you switch to a ring of the same outer radius R but with inner radius R/2.60 (see Figure (b)). Assume that the ring
will have the same surface charge density as the original disk. If you switch to the ring, by what part will you decrease the electric field
magnitude at P?
Number i
Units
(a)
(b)
Chapter 20 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 20.1 - The proton is a composite particle composed of...Ch. 20.2 - Charge q1 is located at x = 1 m, y = 0. What...Ch. 20.3 - A positive point charge is located at the origin...Ch. 20.4 - Far from a charge distribution, you measure an...Ch. 20.5 - An electron, a proton, a deuteron (a neutron...Ch. 20 - Conceptual Example 20.1 shows that the...Ch. 20 - A free neutron is unstable and soon decays to...Ch. 20 - Where in Fig. 20.5 could you put a third charge so...Ch. 20 - Why should the test charge used to measure an...Ch. 20 - Equation 20.3 gives the electric field of a point...
Ch. 20 - Is the electric force on a charged particle always...Ch. 20 - Why does a dipole, which has no net charge,...Ch. 20 - The ring in Example 20.6 carries total charge Q,...Ch. 20 - A spherical balloon is initially uncharged. If you...Ch. 20 - Under what circumstances is the path of a charged...Ch. 20 - Why should there be a force between two dipoles,...Ch. 20 - Dipoles A and B are both located in the field of a...Ch. 20 - Suppose the electron and proton charges differed...Ch. 20 - A typical lightning flash delivers about 25 C of...Ch. 20 - Protons and neutrons are made from combinations of...Ch. 20 - Earth carries a net charge of about 5 105 C. How...Ch. 20 - As they fly, honeybees may acquire electric...Ch. 20 - The electron and proton in a hydrogen atom are...Ch. 20 - An electron at Earths surface experiences a...Ch. 20 - You break a piece of Styrofoam packing material,...Ch. 20 - A charge q is at the point x = 1 m, y = 0 m. Write...Ch. 20 - A proton is at the origin and an electron is at...Ch. 20 - An electron experiences an electric force of 0.61...Ch. 20 - Find the magnitude of the electric force on a...Ch. 20 - A 68-nC charge experiences a 150-mN force in a...Ch. 20 - The electric field inside a cell membrane is 8.0...Ch. 20 - A 1.0-C charge experiences a 10-N electric force...Ch. 20 - The electron in a hydrogen atom is 52.9 pm from...Ch. 20 - In Fig. 20.28, point P is midway between the two...Ch. 20 - The water molecules dipole moment is 6.2 1030Cm....Ch. 20 - The electric field 22 cm from a long wire carrying...Ch. 20 - Find the line charge density on a long wire if the...Ch. 20 - Find the magnitude of the electric field due to a...Ch. 20 - In his famous 1909 experiment that demonstrated...Ch. 20 - How strong an electric field is needed to...Ch. 20 - A proton moving to the right at 3.8l05m/s enters a...Ch. 20 - An electrostatic analyzer like that of Example...Ch. 20 - A 2-g ping-pong ball rubbed against a wool jacket...Ch. 20 - Two charges, one whose magnitude is twice as large...Ch. 20 - A proton is on the x-axis at x = 1.6 nm. An...Ch. 20 - A 9.5C charge is at x = 15cm, y = 5.0cm and a...Ch. 20 - A charge 3q is at the origin, and a charge 2q is...Ch. 20 - A negative charge q lies midway between two...Ch. 20 - In Fig. 20.29, take q1 = 68 C, q2 = 34 C, and q3 =...Ch. 20 - FIGURE 20.20 Problems 44 and 45 45. In Fig. 20.29,...Ch. 20 - DNA fragments introduced into an electrophoresis...Ch. 20 - A 65-C point charge is at the origin. Find the...Ch. 20 - A 1.0-C charge and a 2.0-C charge are 10 cm apart....Ch. 20 - A proton is at the origin and an ion is at x = 5.0...Ch. 20 - (a) Find an expression for the electric field on...Ch. 20 - A dipole lies on the y-axis and consists of an...Ch. 20 - Show that the field on the x-axis for the dipole...Ch. 20 - Youre 1.44 m from a charge distribution that is...Ch. 20 - Three identical charges q form an equilateral...Ch. 20 - Two identical small metal spheres initially carry...Ch. 20 - Two 38.0-C charges are attached to opposite ends...Ch. 20 - A thin rod lies on the x-axis between x = 0 and x...Ch. 20 - An electron is moving in a circular path around a...Ch. 20 - Find the line charge density on a long wire if a...Ch. 20 - A dipole with dipole moment 1.5 nCm is oriented at...Ch. 20 - You have a job examining patent applications....Ch. 20 - A 5.0-m strand of DNA carries charge +e per nm of...Ch. 20 - A molecule has its dipole moment aligned with a...Ch. 20 - Two identical dipoles, each of charge q and...Ch. 20 - A dipole with charges q and separation 2a is...Ch. 20 - An electron is at the origin, and an ion with...Ch. 20 - Youre taking physical chemistry, and your...Ch. 20 - The electric field on the axis of a uniformly...Ch. 20 - An electric quadrupole consists of two oppositely...Ch. 20 - You measure the electric field on a dipoles axis,...Ch. 20 - A straight wire 10 m long carries 25 C distributed...Ch. 20 - Figure 20.34 shows a thin rod of length L carrying...Ch. 20 - Figure 20.35 shows a thin, uniformly charged disk...Ch. 20 - Use the result of Problem 73 to show that the...Ch. 20 - Use the binomial theorem to show that, for x R,...Ch. 20 - A semicircular loop of radius a carries positive...Ch. 20 - In Example 20.2, find the position on the y-axis...Ch. 20 - A thin rod carries charge Q distributed uniformly...Ch. 20 - A thin rod extends along the x-axis from x = 0 to...Ch. 20 - A rod of length 2L lies on the x-axis, centered at...Ch. 20 - Youre working on the design of an ink-jet printer....Ch. 20 - BIO The human heart consists largely of elongated...Ch. 20 - At a given distance, far from the heart compared...Ch. 20 - The difference between Figs. 20.38a and 20.38b...Ch. 20 - At the instant shown in Fig. 20.38c, theres an...
Additional Science Textbook Solutions
Find more solutions based on key concepts
A student holds an inexpensive sonic range finder and uses the range finder to find the distance to the wall. T...
University Physics Volume 1
Three properties of traditional ceramics that make them useful as food serving bowls.
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
What was the Miller–Urey experiment, and how did it work? Why is its relevance now subject to scientific debate...
Life in the Universe (4th Edition)
47. Two people carry a heavy electric motor by placing it on a light board 2.00 m long. One person lifts at one...
College Physics (10th Edition)
13.31 Planets Beyond the Solar System. On October 15, 2001, a planet was discovered orbiting around the star HD...
University Physics with Modern Physics (14th Edition)
Choose the best answer to each of the following. Explain your reasoning. Earth is closer to the Sun in January ...
The Cosmic Perspective Fundamentals (2nd Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- What is the magnitude of the electric field due to a charged particle at its exact location (r = 0)?arrow_forwardaA plastic rod of length = 24.0 cm is uniformly charged with a total charge of +12.0 C. The rod is formed into a semicircle with its center at the origin of the xy plane (Fig. P24.34). What are the magnitude and direction of the electric field at the origin? Figure P24.34arrow_forwardTwo solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB = 0 (b) EA EB 0 (c) EA = EB 0 (d) 0 EA EB (e) 0 = EA EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? Choose from the same possibilities as in part (i).arrow_forward
- A circular ring of charge with radius b has total charge q uniformly distributed around it. What is the magnitude of the electric field at the center of the ring? (a) 0 (b) keq/b2 (c) keq2/b2 (d) keq2/b (e) none of those answersarrow_forwardAn electron and a proton, each starting from rest, are accelerated by the same uniform electric field of 200 N/C. Determine the distance and time for each particle to acquire a kinetic energy of 3.21016 J.arrow_forwardA thin conducing plate 2.0 m on a side is given a total charge of 10.0C . (a) What is the electric field 1.0 cm above the plate? (b) What is the force on an electron at this point? (c) Repeat these calculations for a point 2.0 cm above the plate. (d) When the electron moves from 1.0 to 2.0 cm above the plate, how much work is done on it by the electric field?arrow_forward
- The electric field at a point on the perpendicular bisector of a charged rod was calculated as the first example of a continuous charge distribution, resulting in Equation 24.15:E=kQy12+y2j a. Find an expression for the electric field when the rod is infinitely long. b. An infinitely long rod with uniform linear charge density also contains an infinite amount of charge. Explain why this still produces an electric field near the rod that is finite.arrow_forwardA very long, thin wile has a uniform linear charge density of 50C/m . What is the electric field at a distance 2.0 cm from the wire?arrow_forwardAn imaginary closed cube-shaped surface on the L side is in a region where there is a uniform electric field ?. What is the electrical flow through each face of the cube and the total flow through the cube when: (a) it is oriented with two of its faces perpendicular to ? (Figure a) and (b) it undergoes a rotation of an angle θ in around a vertical axis (Figure b).arrow_forward
- In the figure below, determine the point (other than infinity) at which the electric field is zero. (Let q, = -1.65 µC and q2 = 6.90 µc.) -1.00 m-arrow_forwardSuppose you design an apparatus in which a uniformly charged disk of radius R is to produce an electric field. The field magnitude is most important along the central perpendicular axis of the disk, at a point P at distance 2.20R from the disk (see Figure (a)). Cost analysis suggests that you switch to a ring of the same outer radius R but with inner radius R/2.20 (see Figure (b)). Assume that the ring will have the same surface charge density as the original disk. If you switch to the ring, by what part will you decrease the electric field magnitude at P? (a) (b) (a) 0.15 (b) 0.18 (c) 0.21 (d) 0.23 (e) None of the abovearrow_forwardTwo particles, each with charge 56.3 nC, are located on the y axis at y = 26.5 cm and y = −26.5 cm. (a) Find the vector electric field at a point on the x axis as a function of x. (Use the following as necessary: x. Do not enter units in your answer. Assume x is in meters.)arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY