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 21.62P
CP Two identical spheres with mass m are hung from silk threads of length L (Fig. P21.62). The spheres have the same charge, so q1 = q2 = q. The radius of each sphere is very small compared to the distance between the spheres, so they may be treated as point charges. Show that if the angle θ is small, the equilibrium separation d between the spheres is d = (q2L/2π∈0mg)1/3. (Hint: If θ is small, then tanθ ≅ sinθ.)
Figure P21.62
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Chapter 21 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 21.1 - Two charged objects repel each other through the...Ch. 21.2 - You have two lightweight metal spheres, each...Ch. 21.3 - Suppose that charge q2 in Example 21.4 were 2.0 C....Ch. 21.4 - (a) A negative point charge moves along a...Ch. 21.5 - Suppose that the line of charge in Fig. 21.24...Ch. 21.6 - Suppose the electric field lines in a region of...Ch. 21.7 - An electric dipole is placed in a region of...Ch. 21 - If you peel two strips of transparent tape off the...Ch. 21 - Two metal spheres are hanging from nylon threads....Ch. 21 - The electric force between two charged particles...
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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