College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 15, Problem 66AP
To determine
The position x.
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Two small beads having positive charges q1 = 3q and q2 = q are fixed at the opposite ends of a horizontal insulating rod of length d = 1.50 m. The bead with charge q1 is at the origin. As shown in Figure P15.66, a third small charged bead is free to slide on the rod. At what position x is the third bead in equilibrium?
Two small beads having positive charges are fixed at the opposite ends of a horizontal insulating rod of length d = 1.8 m. The charge of q2 =
q. The bead with charge q1 is at the origin. As shown in the figure, another third small, positively charged bead (q3) is in equilibrium at
distance x= 0.3 m. What is the charge of q1?
q1
q3
q2
X
Select one:
О а. 4q
b. 10q
O c. q/3
O d. q/25
О е. 5q
Two small beads having positive charges q1
2q and 92
= q are fixed at the opposite ends of a horizontal insulating rod of length d = 1.50 m. The bead with charge q,
is at the origin. As shown in the figure below, a
third small, charged bead is free to slide on the rod.
92
(a) At what position x is the third bead in equilibrium?
X =
(b) Can the equilibrium be stable?
Yes, if the third bead has a positive charge.
Yes, if the third bead has a negative charge.
No
Chapter 15 Solutions
College Physics
Ch. 15.1 - A suspended object A is attracted to a neutral...Ch. 15.2 - Object A has a charge of +2 C, and object B has a...Ch. 15.3 - A test charge of + 3 C is at a point P where the...Ch. 15.3 - A circular ring of charge of radius b has a total...Ch. 15.3 - A free electron and a free proton are placed in an...Ch. 15.4 - Rank the magnitudes of the electric field at...Ch. 15.8 - Calculate the magnitude of the flux of a constant...Ch. 15.8 - Suppose the electric field of Quick Quiz 15.7 is...Ch. 15.8 - Find the electric flux through the surface in...Ch. 15.8 - For a closed surface through which the net flux is...
Ch. 15 - A glass object receives a positive charge of +3 nC...Ch. 15 - The fundamental charge is e = 1.60 1019 C....Ch. 15 - Each of the following statements is related to...Ch. 15 - Two uncharged, conducting spheres are separated by...Ch. 15 - Four concentric spheres S1, S2, S3, and S4 are...Ch. 15 - IF a suspended object A is attracted to a charged...Ch. 15 - Positive charge Q is located at the center of a...Ch. 15 - Consider point A in Figure CQ15.8 located an...Ch. 15 - A student stands on a thick piece of insulating...Ch. 15 - In fair weather, there is an electric field at the...Ch. 15 - A charged comb often attracts small bits of dry...Ch. 15 - Why should a ground wire be connected to the metal...Ch. 15 - There are great similarities between electric and...Ch. 15 - A spherical surface surrounds a point charge q....Ch. 15 - If more electric field lines leave a Gaussian...Ch. 15 - A student who grew up in a tropical country and is...Ch. 15 - What happens when a charged insulator is placed...Ch. 15 - A 7.50-nC charge is located 1.80 m from a 4.20-nC...Ch. 15 - A charged particle A exerts a force of 2.62 N to...Ch. 15 - Rocket observations show that dust particles in...Ch. 15 - A small sphere of mass m = 7.50 g and charge q1 =...Ch. 15 - The nucleus of 8Be, which consists of 4 protons...Ch. 15 - A molecule of DNA (deoxyribonucleic acid) is 2.17...Ch. 15 - Two uncharged spheres are separated by 2.00 in. If...Ch. 15 - Four point charges are at the corners of a square...Ch. 15 - Two small identical conducting spheres are placed...Ch. 15 - Calculate the magnitude and direction of the...Ch. 15 - Three charges are arranged as shown in Figure...Ch. 15 - A positive charge q1 = 2.70 C on a frictionless...Ch. 15 - Three point charges are located at the corners of...Ch. 15 - Two identical metal blocks resting on a...Ch. 15 - Two small metallic spheres, each of mass m = 0.20...Ch. 15 - Panicle A of charge 3.00 104 C is at the origin,...Ch. 15 - A small object of mass 3.80 g and charge 18.0 C is...Ch. 15 - (a) Determine the electric field strength at a...Ch. 15 - An electric field of magnitude 5.25 105 N/C...Ch. 15 - An electron is accelerated by a constant electric...Ch. 15 - Charge q1 = 1.00 nC is at x1 = 0 and charge q2 =...Ch. 15 - A small sphere of charge q = +68 C and mass m =...Ch. 15 - A proton accelerates from rest in a uniform...Ch. 15 - (a) Find the magnitude and direction of the...Ch. 15 - Four point charges are located at the corners of a...Ch. 15 - A helium nucleus of mass m = 6.64 1027 kg and...Ch. 15 - A charged dust particle at rest in a vacuum is...Ch. 15 - A particle of mass 1.00 109 kg and charge 3.00 pC...Ch. 15 - Two equal positive charges are at opposite corners...Ch. 15 - Three point charges are located on a circular are...Ch. 15 - In Figure P15.31, determine the point (other than...Ch. 15 - Three charges are at the corners of an equilateral...Ch. 15 - Three identical charges (q = 5.0 C.) lie along a...Ch. 15 - Figure P15.31 shows the electric held lines for...Ch. 15 - (a) Sketch the electric field lines around an...Ch. 15 - (a) Sketch the electric field pattern around two...Ch. 15 - Two point charges are a small distance apart. (a)...Ch. 15 - Three equal positive charges are at the corners of...Ch. 15 - Refer 10 Figure 15.20. The charge lowered into the...Ch. 15 - The dome of a Van de Graaff generator receives a...Ch. 15 - If the electric field strength in air exceeds 3.0 ...Ch. 15 - In the Millikan oil-drop experiment illustrated in...Ch. 15 - A Van de Graaff generator is charged so that a...Ch. 15 - A uniform electric field of magnitude E = 435 N/C...Ch. 15 - An electric field of intensity 3.50 kN/C is...Ch. 15 - The electric field everywhere on the surface of a...Ch. 15 - Four closed surfaces, S1 through S4, together with...Ch. 15 - A charge q = +5.80 C is located at the center of a...Ch. 15 - Figure P15.49 shows a closed cylinder with...Ch. 15 - A charge of q = 2.00 109 G is spread evenly on a...Ch. 15 - A point charge q is located at the center of a...Ch. 15 - A charge of 1.70 102 C is at the center of a cube...Ch. 15 - Suppose the conducting spherical shell of Figure...Ch. 15 - A very large nonconducting plate lying in the...Ch. 15 - In deep spare, two spheres each of radius 5.00 m...Ch. 15 - A nonconducting, thin plane sheet of charge...Ch. 15 - Three point charges are aligned along the x-axis...Ch. 15 - A small plastic ball of mass m = 2.00 g is...Ch. 15 - A proton moving at v0 = 1.50 106 m/s enters the...Ch. 15 - The electrons in a particle beam each have a...Ch. 15 - A point charge +2Q is at the origin and a point...Ch. 15 - A 1.00-g cork ball having a positive charge of...Ch. 15 - Two 2.0-g spheres are suspended by 10.0-cm-long...Ch. 15 - a point charge of magnitude 5.00 C is at the...Ch. 15 - Two hard rubber spheres, each of mass m = 15.0 g,...Ch. 15 - Prob. 66APCh. 15 - A solid conducting sphere of radius 2.00 cm has a...Ch. 15 - Three identical point charges, each of mass m =...Ch. 15 - Each of the electrons in a particle beam has a...Ch. 15 - Protons are projected with an initial speed v0 = 9...
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- Eight small conducting spheres with identical charge q = 2.00 C are placed at the corners of a cube of side d = 0.500 m (Fig. P23.75). What is the total force on the sphere at the origin (sphere A) due to the other seven spheres? Figure P23.75arrow_forwardA Two positively charged particles, each with charge Q, are held at positions (a, 0) and (a, 0) as shown in Figure P23.73. A third positively charged particle with charge q is placed at (0, h). a. Find an expression for the net electric force on the third particle with charge q. b. Show that the two charges Q behave like a single charge 2Q located at the origin when the distance h is much greater than a. Figure P23.73 Problems 73 and 74.arrow_forwardA 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_forward
- Three charged spheres are at rest in a plane as shown in Figure P23.70. Spheres A and B are fixed, but sphere C is attached to the ceiling by a lightweight thread. The tension in the string is 0.240 N. Spheres A and B have charges qA = 28.0 nC and qB = 28.0 nC. What charge is carried by sphere C?arrow_forwardWhy is the following situation impossible? A solid copper sphere of radius 15.0 cm is in electrostatic equilibrium and carries a charge of 40.0 nC. Figure P24.30 shows the magnitude of the electric field as a function of radial position r measured from the center of the sphere. Figure P24.30arrow_forwardCharges A, B, and C are arranged in the xy plane with qA = 5.60 C, qB = 4.00 C, and qC = 2.30 /C (Fig. P23.43). What are the magnitude and direction of the electrostatic force on charge B? Figure P23.43arrow_forward
- Four equally charged particles with charge q are placed at the comers of a square with side length L, as shown in Figure P23.51. A fifth charged particle with charge Q is placed at the center of the square so that the entire system of charges is in static equilibrium. What are the magnitude and sign of the charge Q? Figure P23.51arrow_forwardA metal sphere with charge +8.00 nC is attached to the left-hand end of a nonconducting rod of length L = 2.00 m. A second sphere with charge +2.00 nC is fixed to the right-hand end of the rod (Fig. P23.53). At what position d along the rod can a charged bead be placed for the bead to be in equilibrium? FIGURE P23.53arrow_forwardaA plastic rod of length = 24.0 cm is uniformly charged with a total charge of +12.0 C. The rod is formed into a semicircle with its center at the origin of the xy plane (Fig. P24.34). What are the magnitude and direction of the electric field at the origin? Figure P24.34arrow_forward
- Three small metallic spheres with identical mass m and identical charge +q are suspended by light strings from the same point (Fig. P23.55). The left-hand and right-hand strings have length L and make an angle with the vertical. What is the value of q in terms of k, g, m, L, and ? Figure P23.55arrow_forwardFigure 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_forwardTwo small beads having positive charges q1 = 3q and q2 = q are fixed at the opposite ends of a horizontal insulating rod of length d = 1.50 m. The bead with charge q1 is at the origin. As shown in Figure P19.7, a third small, charged bead is free to slide on the rod. (a) At what position x is the third bead in equilibrium? (b) Can the equilibrium be stable?arrow_forward
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