Physics For Scientists And Engineers
10th Edition
ISBN: 9781337553599
Author: SERWAY, Raymond A.
Publisher: Cengage,
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Chapter 22, Problem 13P
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 22 Solutions
Physics For Scientists And Engineers
Ch. 22.1 - Three objects are brought close to each other, two...Ch. 22.2 - Three objects are brought close to one another,...Ch. 22.3 - Object A has a charge of +2 C, and object B has a...Ch. 22.4 - A test charge of +3 C is at a point P where an...Ch. 22.5 - Rank the magnitudes of the electric field at...Ch. 22 - Find to three significant digits the charge and...Ch. 22 - (a) Find the magnitude of the electric force...Ch. 22 - In a thundercloud, there may be electric charges...Ch. 22 - Nobel laureate Richard Feynman (19181088) once...Ch. 22 - A 7.50-nC point charge is located 1.80 m from a...
Ch. 22 - This afternoon, you have a physics symposium...Ch. 22 - Two small beads having positive charges q1 = 3q...Ch. 22 - Two small beads having charges q1 and q2 of the...Ch. 22 - Review. In the Bohr theory of the hydrogen atom,...Ch. 22 - Three point charges lie along a straight line as...Ch. 22 - A point charge +2Q is at the origin and a point...Ch. 22 - Particle A of charge 3.00 104 C is at the origin,...Ch. 22 - Review. Two identical particles, each having...Ch. 22 - Why is the following situation impossible? Two...Ch. 22 - What are the magnitude and direction of the...Ch. 22 - Consider n equal positively charged particles each...Ch. 22 - Two equal positively charged particles are at...Ch. 22 - Two charged particles are located on the x axis....Ch. 22 - Three point charges are located on a circular arc...Ch. 22 - Two 2.00-C point charges are located on the x...Ch. 22 - Three point charges are arranged as shown in...Ch. 22 - Consider the electric dipole shown in Figure...Ch. 22 - Three equal positive charges q are at the corners...Ch. 22 - A proton accelerates from rest in a uniform...Ch. 22 - A proton moves at 4.50 105 m/s in the horizontal...Ch. 22 - Protons are projected with an initial speed vi =...Ch. 22 - You are still fascinated by the process of inkjet...Ch. 22 - You are working on a research project in which you...Ch. 22 - Consider an infinite number of identical...Ch. 22 - A particle with charge 3.00 nC is at the origin,...Ch. 22 - A small block of mass m and charge Q is placed on...Ch. 22 - A small sphere of charge q1 = 0.800 C hangs from...Ch. 22 - A charged cork ball of mass 1.00 g is suspended on...Ch. 22 - A charged cork ball of mass m is suspended on a...Ch. 22 - Three charged particles are aligned along the x...Ch. 22 - Two point charges qA = 12.0 C and qB = 45.0 C and...Ch. 22 - Two small spheres hang in equilibrium at the...Ch. 22 - Four identical charged particles (q = +10.0 C) are...Ch. 22 - Review. Two identical blocks resting on a...Ch. 22 - Review. Two identical blocks resting on a...Ch. 22 - Three identical point charges, each of mass m =...Ch. 22 - Why is the following situation impossible? An...Ch. 22 - Two hard rubber spheres, each of mass m = 15.0 g,...Ch. 22 - Two identical beads each have a mass m and charge...Ch. 22 - Two small spheres of mass m are suspended from...Ch. 22 - You are working as an expert witness for an...Ch. 22 - Review. A 1.00-g cork ball with charge 2.00 C is...Ch. 22 - Eight charged panicles, each of magnitude q, are...Ch. 22 - Two particles, each with charge 52.0 nC, are...Ch. 22 - Review. An electric dipole in a uniform horizontal...
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- A Figure P23.65 shows two identical conducting spheres, each with charge q, suspended from light strings of length L. If the equilibrium angle the strings make with the vertical is , what is the mass m of the spheres? Figure P23.65arrow_forwardTwo small spherical conductors are suspended from light-weight vertical insulating threads. The conductors are brought into contact (Fig. P23.50, left) and released. Afterward, the conductors and threads stand apart as shown at right. a. What can you say about the charge of each sphere? b. Use the data given in Figure P23.50 to find the tension in each thread. c. Find the magnitude of the charge on each sphere. Figure P23.50arrow_forwardIn Figure P24.49, a charged particle of mass m = 4.00 g and charge q = 0.250 C is suspended in static equilibrium at the end of an insulating thread that hangs from a very long, charged, thin rod. The thread is 12.0 cm long and makes an angle of 35.0 with the vertical. Determine the linear charge density of the rod. FIGURE P24.49arrow_forward
- Figure P23.49 shows two identical small, charged spheres. One of mass 4.0 g is hanging by an insulating thread of length 20.0 cm. The other is held in place and has charge q1 = 3.6 C. The thread makes an angle of 18 with the vertical, resulting in the spheres being aligned horizontally, a distance r apart. Determine the charge q2 on the hanging sphere. Figure P23.49arrow_forwardAn electroscope is a device used to measure the (relative) charge on an object (Fig. P23.20). The electroscope consists of two metal rods held in an insulated stand. The bent rod is fixed, and the straight rod is attached to the bent rod by a pivot. The straight rod is free to rotate. When a positively charged object is brought close to the electroscope, the straight movable rod rotates. Explain your answers to these questions: a. Why does the rod rotate in Figure P23.20? b. If the positively charged object is removed, what happens to the electroscope? c. If a negatively charged object replaces the positively charged object in Figure P23.20, what happens to the electroscope? d. If a charged object touches the top of the fixed conducting rod and is then removed, what happens to the electroscope?arrow_forwardA circular ring of charge with radius b has total charge q uniformly distributed around it. What is the magnitude of the electric field at the center of the ring? (a) 0 (b) keq/b2 (c) keq2/b2 (d) keq2/b (e) none of those answersarrow_forward
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