Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Textbook Question
Chapter 20, Problem 54P
Show that the field on the x-axis for the dipole of Example 20.5 is given by Equation 20.6b, for |x| >> a.
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Solve e.
Use this if necessary: The dipole moment of the given system is--
x component= 18.3*10^-16 C.m
y component= -122.61*10^-16 C.m
What is the force on a dipole of dipole
moment p placed as shown in the Fig.
+9
a
Fig.
P
--
+9
HW.:
1. Consider a dipole in an external electric field E =
a constant.
magnitude of the dipole moment):
Eoy where Eo is
For the four cases of orientation of the dipole (p is the
(i) pt
(ii) = py
(iii) =-p.
(iv) p=-py
a. Find the potential energy of the dipole in this external field. Order
your answers from highest to lowest potential energy.
b. If the dipole were free to rotate in this external electric field, which
orientation would be the equilibrium alignment? (as a hint, consider
the analogy of a particle in the gravitational field of the earth;
its potential energy increases with increasing altitude above the
surface. If left free, in what direction of change of potential energy
does it go?)
Pou is located at the origin of the coordinates
At a distance ofF 0.01 meters from the
2. A point dipole %=
and po
dipole, find the electric field at each of the following locations and, on
a diagram, sketch in the direction of the field at each point:
1.00 x 10-15 Cm.
a. along the positive…
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...
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