Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 20, Problem 64P
Two identical dipoles, each of charge q and separation a, are a distance x apart, as shown in Fig. 20.31. (a) By considering forces between pairs of charges in the different dipoles, calculate the force between the dipoles and show that, in the limit a << x, it has magnitude 6kp2/x4, where p = qa is the dipole moment, (b) Is the force attractive or repulsive?
FIGURE 20.31 Problem 64
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The water molecule's dipole moment is 6.17×10-30C⋅m. What would be the separation distance if the molecule consisted of charges ±e? (The effective charge is actually less because H and O atoms share the electrons.) Express answer with appropriate units.
I need a solution for this question.
D9.7. A point charge of 4 cos 10*zt µC is located at P,(0, 0, 1.5), whereas
-4 cos 10*rt µC is at P_(0, 0, -1.5), both in free space. Find V at P(r=450, 0,
p = 0) at t = 15 ns for 0 =: (a) 0°; (b) 90°; (c) 45°.
%3D
Chapter 20 Solutions
Essential University Physics (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 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
1. When is energy most evident?
Conceptual Physics (12th Edition)
Predict: which spool will reach the floor first. Explain how your answer is consistent with your extended free-...
Tutorials in Introductory Physics
9. (Il) Three vectors are shown in Fig. 3—35 Q. Their magnitudes are given in arbitrary units. Determine the su...
Physics: Principles with Applications
41. A 0.300 kg oscillator has a speed of 95.4cm/s when its displacement is 3.00cm and 71.4 cm/s when its displ...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
The current through the 20-Ω resistor in Fig. 26–69 does not change whether the two switches S1 and S2 are both...
Physics for Scientists and Engineers with Modern Physics
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
- Pls asaparrow_forwardFind the neutral point if the distance of the two like charges is 2 meters, with the following magnitude of charges: || qA = 2 micro coulombs qB = 4 micro coulombsarrow_forwardSolve for the following given the four charges shown in the picture. (a) VCA (b) VAD (c) VDAarrow_forward
- Three distribution of charges are present in free space with: iC/m lies along z-axis. 5 Cm A uniform line charge of pL = 3 A concentric circular cylinder of radius 2 m has es A concentric circular cylinder of radius 4arrow_forwardPoint charges of 120 nC are located at A(0, 0, 1) and B(0, 0,−1) in free space.a) Find E at P (0.5, 0, 0), b) What single charge at the origin would provide theidentical field strength?arrow_forwardThe ratio of the magnitude of electric force age to gravitational force FG between two electrons, separated by a distance r, in vacuum would be ( taking k as the coulomb constant)arrow_forwardThe magnitude of the electric fie ld at a distance r from a point charge O is equal to O/4πεor2. How close to a water molecule (of polarizability volume 1.48 x 1-30 m3) must a proton approach before the dipole moment it induces is equal to the permanent dipole moment of the molecule (1.85 D)?arrow_forwardOne pole, two pole. Consider a dipole with dipole moment and in a uniform external electric field E. The dipole is oriented in such away that the dipole moment creates an angle of 0= 40° with the external electric field. At what values will the dipole be at a stable and unstable equilibrium, respectively? OA table 0,nable 90 OB. stable 90,0table=0 Octable-0",table=180° OD table=180°,stable = 0arrow_forwardDipole consisting of two equal but opposite point charges separated by a distance "2L". The magnitude either dipole charge is , "qd". A vector quantity called the Electric Dipole Moment Vector ,p ,is defined to have a magnitude p = (qd)(d) (d= separation distance of the dipole charges) and a unit vector direction pointing from negative to positve charge Find the dipole moment vector “p”arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY