Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 20, Problem 56P
Three identical charges q form an equilateral triangle of side a, with two charges on the x-axis and one on the positive y-axis. (a) Find an expression for the electric field at points on the y-axis above the uppermost charge, (b) Show that your result reduces to the field of a point charge 3q for y >> a.
Expert Solution & Answer
Trending nowThis is a popular solution!
Learn your wayIncludes step-by-step video
schedule06:19
Chapter 20 Solutions
Essential University Physics
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 - 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 - 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 molecule’s dipole moment is 6.17 × 10–30...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 - Example 20.2: Charge on raindrops vary widely in...Ch. 20 - Example 20.2: Suppose that all three raindrops in...Ch. 20 - Example 20.2: (a) Repeat Example 20.2 to find the...Ch. 20 - Example 20.2: (a) Use calculus to show that the...Ch. 20 - Example 20.7: A 1.00-km length of power line...Ch. 20 - Example 20.7: A uniformly charged wire is 2.18 m...Ch. 20 - Example 20.7: A thin rod of length L lies on the...Ch. 20 - Example 20.7: A thin rod of length L lies on the...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 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 proton is at the origin and an ion is at x = 5.0...Ch. 20 - Four equal charges Q are at the comers of a square...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 positive charge Q is located at the origin, and...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 - Heating in a microwave oven occurs as water...Ch. 20 - A dipole with charges q and separation 2a is...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 - Four charges lie at the corners of a square of...Ch. 20 - A straight wire 10 m long carries 25 C distributed...Ch. 20 - Two thin rods, each of length a, lie along the...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 - A thin rod carries charge Q distributed uniformly...Ch. 20 - A thin rod extends along the x-axis from x = 0 to...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) Show that .
[Hint: Use integration by parts.]
(b) Let be the step function: . (1.95)
Show that .
Introduction to Electrodynamics
27. A 200 g ball is tied to a string. It is pulled to an angle of 8.00° and released to swing as a pendulum. A ...
College Physics: A Strategic Approach (4th Edition)
What is the difference between propagation speed and the frequency of a wave? Does one or both affect wavelengt...
College Physics
If acceleration is proportional to the net force or is equal to net force.
Conceptual Physics (12th Edition)
12. FIGURE Q7.12 shows two masses at rest. The string is massless and the pullies are frictionless. The spring ...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Which TWO forms of light account for the majority of energy coming from the Sun: ultraviolet, visible, or infra...
Lecture- Tutorials for Introductory Astronomy
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
- If more electric field lines leave a gaussian surface than enter it, what can you conclude about the net charge enclosed by that surface?arrow_forwardWhat is the magnitude of the electric field due to a charged particle at its exact location (r = 0)?arrow_forwardA particle with charge q on the negative x axis and a second particle with charge 2q on the positive x axis are each a distance d from the origin. Where should a third particle with charge 3q be placed so that the magnitude of the electric field at the origin is zero?arrow_forward
- Two 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_forwardTwo infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P19.73. The sheet on the left has a uniform surface charge density , and the one on the right hits a uniform charge density . Calculate the electric field at points (a) to the left of, (b) in between, and (c) to the right of the two sheets. (d) What If? Find the electric fields in all three regions if both sheets have positive uniform surface charge densities of value .arrow_forwardA thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.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_forwardDetermine if approximate cylindrical symmetry holds for the following situations. State why or why not. (a) A 300-cm long copper rod of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (b) A 10-cm long copper of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (c) A 150-cm wooden rod is glued to a 150-cm plastic rod to make a 300 cm long rod, which is then painted with a charged paint so that one obtains a uniform charge density. The radius of each rod is 1 cm, and we seek an electric field at a point that is 4 cm from the center of the rod. (d) Same rod as (c), but we seek electric field at a point that is 500 cm from the center of the rod.arrow_forwardA non-conducting spherical shell of inner radius a1 and outer radius b1 is uniformly charged with charged density p1 inside another non-conducting spherical shell of inner radius a2 and outer radius b2 that is also uniformly charged with charge density p2 . See below. Find the electric field at space point P at a distance r from the common center such that (a) rb2 (b) a2rb2 , (c) b1ra2 , (d) a1rb1 , and (e) ra1 .arrow_forward
- Two parallel conducting plates, each of cross-sectional area 400 cm2, are 2.0 cm apart and uncharged. If 1.01012 electrons are transferred from one plate to the other, what are (a) the charge density on each plate? (b) The electric field between the plates?arrow_forwardTwo particles with charges q1 and q2 are separated by a distance d, and each exerts an electric force on the other with magnitude FE. a. In terms of these quantities, what separation distance would cause the magnitude of the electric force to be halved? b. In terms of these quantities, what separation distance would cause the magnitude of the electric force to be doubled?arrow_forwardAn aluminum spherical ball of radius 4 cm is charged with 5C of charge. A copper spherical shell of inner radius 6 cm and outer radius 8 cm surrounds it. A total charge of 8C is put on the copper shell. (a) Find the electric field at all points in space, including points inside the aluminum and copper shell when copper shell and aluminum sphere are concentric. (b) Find the electric field at all points in space, including points inside the aluminum and copper shell when the centers of copper shell and aluminum sphere are 1 cm apart.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher: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
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, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY