University Physics with Modern Physics (14th Edition)
University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 21, Problem 21.55E

Torque on a Dipole. An electric dipole with dipole moment p is in a uniform external electric field E . (a) Find the orientations of the dipole for which the torque on the dipole is zero, (b) Which of the orientations in part (a) is stable, and which is unstable? (Hint: Consider a small rotation away from the equilibrium position and see what happens.) (c) Show that for the stable orientation in part (b), the dipole’s own electric field tends to oppose the external field.

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Chapter 21 Solutions

University Physics with Modern Physics (14th Edition)

Ch. 21 - Your clothing tends to cling together after going...Ch. 21 - An uncharged metal sphere hangs from a nylon...Ch. 21 - BIO Estimate how many electrons there are in your...Ch. 21 - Figure Q2I.7 shows some of the electric field...Ch. 21 - Good conductors of electricity, such as metals,...Ch. 21 - Suppose that the charge shown in Fig. 21.28a is...Ch. 21 - Two identical metal objects are mounted on...Ch. 21 - Because the charges on the electron and proton...Ch. 21 - If you walk across a nylon rug and then touch a...Ch. 21 - You have a negatively charged object. How can you...Ch. 21 - When two point charges of equal mass and charge...Ch. 21 - A point charge of mass m and charge Q and another...Ch. 21 - A proton is placed in a uniform electric field and...Ch. 21 - In Example 21.1 (Section 21.3) we saw that the...Ch. 21 - What similarities do electric forces have with...Ch. 21 - Two irregular objects A and B carry charges of...Ch. 21 - Atomic nuclei are made of protons and neutrons....Ch. 21 - Sufficiently strong electric fields can cause...Ch. 21 - The electric fields at point P due to the positive...Ch. 21 - The air temperature and the velocity of the air...Ch. 21 - Excess electrons are placed on a small lead sphere...Ch. 21 - Lightning occurs when there is a flow of electric...Ch. 21 - If a proton and an electron are released when they...Ch. 21 - Particles in a Gold Ring. You have a pure...Ch. 21 - BIO Signal Propagation in Neurons. Neurons are...Ch. 21 - Two small spheres spaced 20.0 cm apart have equal...Ch. 21 - An average human weighs about 650 N. If each of...Ch. 21 - Two small aluminum spheres, each having mass...Ch. 21 - Two small plastic spheres are given positive...Ch. 21 - Just How Strong Is the Electric Force? Suppose you...Ch. 21 - In an experiment in space, one proton is held...Ch. 21 - A negative charge of 0.550 C exerts an upward...Ch. 21 - Three point charges are arranged on a line. Charge...Ch. 21 - In Example 21.4, suppose the point charge on the...Ch. 21 - In Example 21.3, calculate the net force on charge...Ch. 21 - In Example 21.4, what is the net force (magnitude...Ch. 21 - Three point charges are arranged along the...Ch. 21 - Repeat Exercise 21.17 for q3 = +8.00 C.Ch. 21 - Two point charges are located on the y-axis as...Ch. 21 - Two point charges are placed on the .x -axis as...Ch. 21 - BIO Base Pairing in DNA, I. The two sides of the...Ch. 21 - BIO Base Pairing in DNA, II. Refer to Exercise...Ch. 21 - CP A proton is placed in a uniform electric field...Ch. 21 - A particle has charge 5.00 nC. (a) Find the...Ch. 21 - CP A proton is traveling horizontally to the right...Ch. 21 - CP An electron is released from rest in a uniform...Ch. 21 - (a) What must the charge (sign and magnitude) of a...Ch. 21 - Electric Field of the Earth. The earth has a net...Ch. 21 - CP An electron is projected with an initial speed...Ch. 21 - (a) Calculate the magnitude and direction...Ch. 21 - CP In Exercise 21.29, what is the speed of the...Ch. 21 - CP A uniform electric field exists in the region...Ch. 21 - A point charge is at the origin. With this point...Ch. 21 - A +8.75-C point charge is glued down on a...Ch. 21 - (a) An electron is moving east in a uniform...Ch. 21 - Two point charges Q and +q (where q is positive)...Ch. 21 - Two positive point charges q are placed on the...Ch. 21 - The two charges q1 and q2 shown in Fig. E21.38...Ch. 21 - A +2.00-nC point charge is at the origin, and a...Ch. 21 - Repeat Exercise 21.39, hut now let the charge at...Ch. 21 - Three negative point charges lie along a line as...Ch. 21 - A point charge is placed at each corner of a...Ch. 21 - Two point charges are separated by 25.0 cm (Fig....Ch. 21 - Point charge q1 = 5.00 nC is at the origin and...Ch. 21 - If two electrons are each 1.50 1010 m from a...Ch. 21 - BIO Electric Field of Axons. A nerve signal is...Ch. 21 - In a rectangular coordinate system a positive...Ch. 21 - A point charge q1 = 4.00 nC is at the point x =...Ch. 21 - A charge of 6.50nC is spread uniformly over the...Ch. 21 - A very long, straight wire has charge per unit...Ch. 21 - A ring-shaped conductor with radius a = 2.50 cm...Ch. 21 - A straight, nonconducting plastic wire 8.50 cm...Ch. 21 - Point charges q1 = 4.5 nC and q2 = +4.5 nC are...Ch. 21 - The ammonia molecule (NH3) has a dipole moment of...Ch. 21 - Torque on a Dipole. An electric dipole with dipole...Ch. 21 - The dipole moment of the water molecule (H2O) is...Ch. 21 - Three charges are at the corners of an isosceles...Ch. 21 - Consider the electric dipole of Example 21.14. (a)...Ch. 21 - Four identical charges Q are placed at the corners...Ch. 21 - Two charges are placed on the x-axis: one, of 2.50...Ch. 21 - A charge q1 = +5.00 nC is placed at the origin of...Ch. 21 - CP Two identical spheres with mass m are hung from...Ch. 21 - CP Two small spheres with mass m = 15.0 g are hung...Ch. 21 - CP Two identical spheres are each attached to silk...Ch. 21 - CP A small 12.3-g plastic ball is tied to a very...Ch. 21 - Point charge q1 = 6.00 106 C is on the x-axis at...Ch. 21 - Two particles having charges q1 = 0.500 nC and q2...Ch. 21 - A 3.00-nC point charge is on the x-axis at x =...Ch. 21 - A charge +Q is located at the origin, and a charge...Ch. 21 - A charge of 3.00 nC is placed at the origin of an...Ch. 21 - Three identical point charges q are placed at each...Ch. 21 - Two point charges q1 and q2 are held in place 4.50...Ch. 21 - CP Strength of the Electric Force. Imagine two...Ch. 21 - CP Two tiny spheres of mass 6.80 mg carry charges...Ch. 21 - CP Consider a model of a hydrogen atom in which an...Ch. 21 - The earth has a downward-directed electric field...Ch. 21 - CP A proton is projected into a uniform electric...Ch. 21 - A small object with mass m, charge q, and initial...Ch. 21 - CALC Positive charge Q is distributed uniformly...Ch. 21 - In a region where there is a uniform electric...Ch. 21 - A negative point charge q1 = 4.00 nC is on the...Ch. 21 - CALC Positive charge Q is distributed uniformly...Ch. 21 - A uniformly charged disk like the disk in Fig....Ch. 21 - CP A small sphere with mass m carries a positive...Ch. 21 - CALC Negative charge Q is distributed uniformly...Ch. 21 - CALC A semicircle of radius a is in the first and...Ch. 21 - Two 1.20-m non- conducting rods meet at a right...Ch. 21 - Two very large parallel sheets are 5.00 cm apart....Ch. 21 - Repeat Problem 21.88 for the case where sheet B is...Ch. 21 - Two very large horizontal sheets are 4.25 cm apart...Ch. 21 - CP A thin disk with a circular hole at its center,...Ch. 21 - DATA CP Design of an Inkjet Printer. Inkjet...Ch. 21 - DATA Two small spheres, each carrying a net...Ch. 21 - DATA Positive charge Q is distributed uniformly...Ch. 21 - Three charges are placed as shown in Fig. P21.95....Ch. 21 - Two charges are placed as shown in Fig. P21.96....Ch. 21 - CALC Two thin rods of length L lie along the...Ch. 21 - BIO ELECTRIC BEES. Flying insects such as bees may...Ch. 21 - BIO ELECTRIC BEES. Flying insects such as bees may...Ch. 21 - After one bcc left a flower with a positive...Ch. 21 - In a follow-up experiment, a charge of +40 pC was...

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