Physics for Scientists and Engineers, Technology Update (No access codes included)
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ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 23, Problem 23.20P
Review. Two identical particles, each having charge +q, are fixed in space and separated by a distance d. A third particle with charge −Q is free to move and lies initially at rest on the perpendicular bisector of the two fixed charges a distance x from the midpoint between those charges (Fig. P22.13). (a) Show that if x is small compared with d, the motion of −Q is simple harmonic along the perpendicular bisector. (b) Determine the period of that motion. (c) How fast will the charge −Q be moving when it is at the midpoint between the two fixed charges if initially it is released at a distance a << d from the midpoint?
Figure P22.13
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Chapter 23 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 23 - Three objects are brought close to each other, two...Ch. 23 - Three objects are brought close to one another,...Ch. 23 - Object A has a charge of +2 C, and object B has a...Ch. 23 - A test charge of +3 C is at a point P where an...Ch. 23 - Rank the magnitudes of the electric field at...Ch. 23 - A free electron and a free proton are released in...Ch. 23 - Prob. 23.2OQCh. 23 - A very small ball has a mass of 5.00 103 kg and a...Ch. 23 - An electron with a speed of 3.00 106 m/s moves...Ch. 23 - A point charge of 4.00 nC is located at (0, 1.00)...
Ch. 23 - A circular ring of charge with radius b has total...Ch. 23 - What happens when a charged insulator is placed...Ch. 23 - Estimate the magnitude of the electric field due...Ch. 23 - (i) A metallic coin is given a positive electric...Ch. 23 - Assume the charged objects in Figure OQ23.10 are...Ch. 23 - Three charged particles are arranged on corners of...Ch. 23 - Two point charges attract each other with an...Ch. 23 - Assume a uniformly charged ring of radius R and...Ch. 23 - An object with negative charge is placed in a...Ch. 23 - The magnitude of the electric force between two...Ch. 23 - (a) Would life be different if the electron were...Ch. 23 - A charged comb often attracts small bits of dry...Ch. 23 - A person is placed in a large, hollow, metallic...Ch. 23 - A student who grew up in a tropical country and is...Ch. 23 - If a suspended object A is attracted to a charged...Ch. 23 - Consider point A in Figure CQ23.6 located an...Ch. 23 - In fair weather, there is an electric field at the...Ch. 23 - Why must hospital personnel wear special...Ch. 23 - A balloon clings to a wall after it is negatively...Ch. 23 - Consider two electric dipoles in empty space. 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Two...Ch. 23 - What are the magnitude and direction of the...Ch. 23 - A small object of mass 3.80 g and charge 18.0 C is...Ch. 23 - Four charged particles are at the corners of a...Ch. 23 - Three point charges lie along a circle of radius r...Ch. 23 - Two equal positively charged particles are at...Ch. 23 - Consider n equal positively charged particles each...Ch. 23 - In Figure P23.29, determine the point (other than...Ch. 23 - Three charged particles are at the corners of an...Ch. 23 - Three point charges are located on a circular arc...Ch. 23 - Two charged particles are located on the x axis....Ch. 23 - A small, 2.00-g plastic ball is suspended by a...Ch. 23 - Two 2.00-C point charges are located on the x...Ch. 23 - Three point charges are arranged as shown in...Ch. 23 - Consider the electric dipole shown in Figure...Ch. 23 - A rod 14.0 cm long is uniformly charged and has a...Ch. 23 - A uniformly charged disk of radius 35.0 cm carries...Ch. 23 - A uniformly charged ring of radius 10.0 cm has a...Ch. 23 - The electric field along the axis of a uniformly...Ch. 23 - Example 23.3 derives the exact expression for the...Ch. 23 - A uniformly charged rod of length L and total...Ch. 23 - A continuous line of charge lies along the x axis,...Ch. 23 - A thin rod of length and uniform charge per unit...Ch. 23 - A uniformly charged insulating rod of length 14.0...Ch. 23 - (a) Consider a uniformly charged, thin-walled,...Ch. 23 - A negatively charged rod of finite length carries...Ch. 23 - A positively charged disk has a uniform charge per...Ch. 23 - Figure P23.49 shows the electric field lines for...Ch. 23 - Three equal positive charges q are at the corners...Ch. 23 - A proton accelerates from rest in a uniform...Ch. 23 - A proton is projected in the positive x direction...Ch. 23 - An electron and a proton are each placed at rest...Ch. 23 - Protons are projected with an initial speed vi =...Ch. 23 - The electrons in a particle beam each have a...Ch. 23 - Two horizontal metal plates, each 10.0 cm square,...Ch. 23 - A proton moves at 4.50 105 m/s in the horizontal...Ch. 23 - Three solid plastic cylinders all have radius 2.50...Ch. 23 - Consider an infinite number of identical...Ch. 23 - A particle with charge 3.00 nC is at the origin,...Ch. 23 - A small block of mass m and charge Q is placed on...Ch. 23 - A small sphere of charge q1 = 0.800 C hangs from...Ch. 23 - A line of charge starts at x = +x0 and extends to...Ch. 23 - A small sphere of mass m = 7.50 g and charge q1 =...Ch. 23 - A uniform electric field of magnitude 640 N/C...Ch. 23 - Two small silver spheres, each with a mass of 10.0...Ch. 23 - A charged cork ball of mass 1.00 g is suspended on...Ch. 23 - A charged cork ball of mass m is suspended on a...Ch. 23 - Three charged particles are aligned along the x...Ch. 23 - Two point charges qA = 12.0 C and qB = 45.0 C and...Ch. 23 - A line of positive charge is formed into a...Ch. 23 - Four identical charged particles (q = +10.0 C) are...Ch. 23 - Two small spheres hang in equilibrium at the...Ch. 23 - Why is the following situation impossible? An...Ch. 23 - Review. Two identical blocks resting on a...Ch. 23 - Review. Two identical blocks resting on a...Ch. 23 - Three identical point charges, each of mass m =...Ch. 23 - Show that the maximum magnitude Emax of the...Ch. 23 - Two hard rubber spheres, each of mass m = 15.0 g,...Ch. 23 - Two identical beads each have a mass m and charge...Ch. 23 - Two small spheres of mass m are suspended from...Ch. 23 - Review. A negatively charged particle q is placed...Ch. 23 - Review. A 1.00-g cork ball with charge 2.00 C is...Ch. 23 - Identical thin rods of length 2a carry equal...Ch. 23 - Eight charged panicles, each of magnitude q, are...Ch. 23 - Consider the charge distribution shown in Figure...Ch. 23 - Review. An electric dipole in a uniform horizontal...Ch. 23 - Inez is putting up decorations for her sisters...Ch. 23 - A line of charge with uniform density 35.0 nC/m...Ch. 23 - A particle of mass m and charge q moves at high...Ch. 23 - Two particles, each with charge 52.0 nC, are...
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