College Physics (10th Edition)
College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Chapter 17, Problem 44P

Torque and force on a dipole. An electric dipole is in a uniform external electric field E as shown in Figure 17.52. (a) What is the net force this field exerts on the dipole? (b) Find the orientations of the dipole for which the torque on it about an axis through its center perpendicular to the plane of the figure is zero, (c) Which of the orientations in part (b) is stable, and which is unstable? (Hint: Consider a small displacement away from the equilibrium position, and see what happens.) (d) Show that, for the stable orientation in part (c), the dipole's own electric field opposes the external field for points between the charges.

Chapter 17, Problem 44P, Torque and force on a dipole. An electric dipole is in a uniform external electric field E as shown

Figure 17.52

Problem 44.

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(a) Derive an expression for the electric field E due to a dipole of length ‘2a’ at a point distant r from the centre of the dipole on the axial line. (b) Draw a graph of E versus r for r >> a. (c) If this dipole were kept in a uniform external electric field diagrammatically represent the position of the dipole in stable and unstable equilibrium and write the expressions for the torque acting on the dipole in both the cases.
Calculate the magnitude and direction of the dipole moment of the following arrangement of charges in the xy-plane: 3e at (0, 0), −e at (0.32 nm, 0), and −2e at an angle of 20° from the x-axis and a distance of 0.23 nm from the origin.
The following questions refer to the configuration involving an electric dipole and an external charged particle depicted below: 3. Suppose that the electric dipole has a length of 5 mm and the positive end has charge 8 nC. Let's say that the external particle is 2 cm from both ends of the dipole, carrying a charge of -2 µC. What is the net electric force acting on the dipole? [A positive net force points up, a negative one points down.] What is the net torque on the dipole relative to its center point? [Positive torque implies counterclockwise motion, negative implies clockwise.]

Chapter 17 Solutions

College Physics (10th Edition)

Ch. 17 - A rubber balloon has a single point charge in its...Ch. 17 - Explain how the electric force plays an important...Ch. 17 - Just after two identical point charges are...Ch. 17 - If the electric field is E at a distance d from a...Ch. 17 - Two unequal point charges are separated as shown...Ch. 17 - A spherical balloon contains a charge +Q uniformly...Ch. 17 - An electron is moving horizontally in a laboratory...Ch. 17 - Point P in Figure 17.40 is equidistant from two...Ch. 17 - A hollow conductor carries a net charge of +3Q. A...Ch. 17 - Three equal point charges are held in place as...Ch. 17 - An electric field of magnitude E is measured at a...Ch. 17 - A very small ball containing a charge Q hangs from...Ch. 17 - A point charge Q at the center of a sphere of...Ch. 17 - Two charged small spheres are a distance R apart...Ch. 17 - A positively charged glass rod is brought close to...Ch. 17 - A positively charged rubber rod is moved close to...Ch. 17 - Two iron spheres contain excess charge, one...Ch. 17 - Electrical storms. During an electrical storm,...Ch. 17 - In ordinary laboratory circuits, charges in the C...Ch. 17 - BIO Signal propagation in neurons. Neurons are...Ch. 17 - Particles in a gold ring. You have a pure...Ch. 17 - Two equal point charges of +3.00 106 C are placed...Ch. 17 - The repulsive force between two electrons has a...Ch. 17 - A negative charge of 0.550 C exerts an upward...Ch. 17 - Forces in an atom. 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An electric dipole...Ch. 17 - (a) An electron is moving east in a uniform...Ch. 17 - A +20 nC point charge is placed at the origin, and...Ch. 17 - For the dipole shown in Figure 17.53, show that...Ch. 17 - Figure 17.54shows some of the electric field lines...Ch. 17 - A proton and an electron are separated as shown in...Ch. 17 - Sketch electric field lines in the vicinity of two...Ch. 17 - Two point charges Q and +q (where q is positive)...Ch. 17 - Two very large parallel sheets of the same size...Ch. 17 - (a) A closed surface encloses a net charge of 2.50...Ch. 17 - Figure 17.58 shows cross sections of five closed...Ch. 17 - A point charge 8.00 nC is at the center of a cube...Ch. 17 - A charged paint is spread in a very thin uniform...Ch. 17 - (a) How many excess electrons must be distributed...Ch. 17 - An electric dipole consists of charges q and q...Ch. 17 - A total charge of magnitude Q is distributed...Ch. 17 - During a violent electrical storm, a car is struck...Ch. 17 - A neutral conductor completely encloses a hole...Ch. 17 - An irregular neutral conductor has a hollow cavity...Ch. 17 - Three point charges are arranged along the x axis....Ch. 17 - An electron is released from rest in a uniform...Ch. 17 - A charge q1 = +5.00 nC is placed at the origin of...Ch. 17 - A charge of 3.00 nC is placed at the origin of an...Ch. 17 - Point charges of 3.00 nC are situated at each of...Ch. 17 - An electron is projected with an initial speed u0...Ch. 17 - A small 12.3 g plastic ball is tied to a very...Ch. 17 - A 5.00 nC point charge is on the x axis at x =...Ch. 17 - A 9.60 C point charge is at the center of a cube...Ch. 17 - Two point charges q1 and q2 are held 4.00 cm...Ch. 17 - An early model of the hydrogen atom viewed it as...Ch. 17 - Consider a bee with the mean electric charge found...Ch. 17 - What is the best explanation for the observation...Ch. 17 - After one bee left a flower with a positive...Ch. 17 - In a follow-up experiment, a charge of +40 pC was...Ch. 17 - Space radiation shielding. 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