Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 23, Problem 61PQ
Three charged particles are arranged in the xy plane as shown in Figure P23.61, with qA = 6.40 μC, qB = −2.30 μC, and qC = 3.80 μC. What is the net electrostatic force on the particle with charge qA?
Figure P23.61
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The charges and coordinates of two charged particles held fixed in the xy plane are: q1 = 3.20 μC, x1 = -4.100 cm, y1 = 4.600 cm, and q2 = 4.60 μC, x2 = -6.711 cm, y2 = 7.078 cm.
a) What is the x coordinate of the third charge q3 =7.80 μC if the net electrostatic force on q2 is zero?
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In Figure (a) particles 1 and 2 have charge 38.0 μC each and are held at separation distance d = 4.70 m.
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A uniformly charged disk with radius
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(a)
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(d)
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Chapter 23 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 23.2 - Initially a glass rod and a piece of silk are...Ch. 23.3 - a. In Figure 23.8, why are there three plus signs...Ch. 23.3 - When wool is rubbed against amber, the wool...Ch. 23.3 - Prob. 23.4CECh. 23.4 - The following scenarios involve a metal ball and a...Ch. 23.4 - Prob. 23.6CECh. 23 - What is the difference between a contact force and...Ch. 23 - Many textbooks claim Franklin decided that moving...Ch. 23 - An object has a charge of 35 nC. How many excess...Ch. 23 - As part of a demonstration, a physics professor...
Ch. 23 - A single coulomb represents a large amount of...Ch. 23 - A sphere has a net charge of 8.05 nC, and a...Ch. 23 - A glass rod is initially neutral. After it is...Ch. 23 - After an initially neutral glass rod is rubbed...Ch. 23 - A 50.0-g piece of aluminum has a net charge of...Ch. 23 - Prob. 10PQCh. 23 - A silk scarf is rubbed against glass, and a wool...Ch. 23 - CASE STUDY A person in Franklins time may have...Ch. 23 - Prob. 13PQCh. 23 - Prob. 14PQCh. 23 - A charge of 36.3 nC is transferred to a neutral...Ch. 23 - Prob. 16PQCh. 23 - Prob. 17PQCh. 23 - An electrophorus is a device developed more than...Ch. 23 - Prob. 19PQCh. 23 - An electroscope is a device used to measure the...Ch. 23 - Two particles with charges of +5.50 nC and 8.95 nC...Ch. 23 - Particle A has a charge of 34.5 nC, and particle B...Ch. 23 - Prob. 23PQCh. 23 - Prob. 24PQCh. 23 - Particle A has charge qA and particle B has charge...Ch. 23 - Two charged particles are placed along the y axis....Ch. 23 - A 1.75-nC charged particle located at the origin...Ch. 23 - A 1.75-nC charged particle located at the origin...Ch. 23 - Two particles with charges q1 and q2 are separated...Ch. 23 - An electron with charge e and mass m moves in a...Ch. 23 - Two electrons in adjacent atomic shells are...Ch. 23 - Two small, identical metal balls with charges 5.0...Ch. 23 - Two identical spheres each have a mass of 5.0 g...Ch. 23 - One end of a light spring with force constant k =...Ch. 23 - Two 25.0-g copper spheres are placed 75.0 cm...Ch. 23 - Three charged particles lie along a single line....Ch. 23 - Given the arrangement of charged particles shown...Ch. 23 - Given the arrangement of charged particles in...Ch. 23 - Given the arrangement of charged particles in...Ch. 23 - Three charged metal spheres are arrayed in the xy...Ch. 23 - Charges A, B, and C are arrayed along the y axis,...Ch. 23 - Three identical conducting spheres are fixed along...Ch. 23 - Charges A, B, and C are arranged in the xy plane...Ch. 23 - Prob. 44PQCh. 23 - A particle with charge q is located at the origin,...Ch. 23 - Figure P23.46 shows four identical conducting...Ch. 23 - Prob. 47PQCh. 23 - Two metal spheres of identical mass m = 4.00 g are...Ch. 23 - Figure P23.49 shows two identical small, charged...Ch. 23 - Two small spherical conductors are suspended from...Ch. 23 - Four equally charged particles with charge q are...Ch. 23 - Four charged particles q, q, q, and q are Fixed...Ch. 23 - A metal sphere with charge +8.00 nC is attached to...Ch. 23 - Prob. 54PQCh. 23 - Three small metallic spheres with identical mass m...Ch. 23 - How does a negatively charged rubber balloon stick...Ch. 23 - How many electrons are in a 1.00-g electrically...Ch. 23 - Prob. 58PQCh. 23 - Prob. 59PQCh. 23 - Prob. 60PQCh. 23 - Three charged particles are arranged in the xy...Ch. 23 - A We saw in Figure 23.16 that a neutral metal can...Ch. 23 - Prob. 63PQCh. 23 - A Figure P23.65 shows two identical conducting...Ch. 23 - Two helium-filled, spherical balloons, each with...Ch. 23 - Two small metallic spheres, each with a mass of...Ch. 23 - A Two positively charged spheres with charges 4e...Ch. 23 - Prob. 69PQCh. 23 - Three charged spheres are at rest in a plane as...Ch. 23 - Prob. 71PQCh. 23 - Three particles with charges of 1.0 C, 1.0 C, and...Ch. 23 - A Two positively charged particles, each with...Ch. 23 - Prob. 74PQCh. 23 - Eight small conducting spheres with identical...Ch. 23 - Prob. 76PQCh. 23 - Prob. 77PQCh. 23 - Prob. 78PQCh. 23 - Prob. 79PQ
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- Three charged metal spheres are arrayed in the xy plane so that they form an equilateral triangle (Fig. P23.40). What is the net electrostatic force on the sphere at the origin? Figure P23.40arrow_forwardGiven the arrangement of charged particles shown in Figure P23.37, find the net electrostatic force on the 5.00-nC charged particle located at the origin. Figure P23.37arrow_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
- 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 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_forwardA conducting rod carrying a total charge of +9.00 C is bent into a semicircle of radius R = 33.0 cm, with its center of curvature at the origin (Fig.P24.75). The charge density along the rod is given by = 0 sin , where is measured clockwise from the +x axis. What is the magnitude of the electric force on a 1.00-C charged particle placed at the origin?arrow_forward
- A 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_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_forwardA particle with charge Q = 5.00 C is located at the center of a cube of edge L = 0.100 m. In addition, six other identical charged particles having q = 1.00 C are positioned symmetrically around Q as shown in Figure P23.19. Determine the electric flux through one face of the cube. Figure P23.19 Problems 19 and 20.arrow_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_forwardA charged cork ball of mass 1.00 g is suspended on a light string in the presence of a uniform electric field as shown in Figure P22.33. When E=(3.00i+5.00j)105N/C, the ball is in equilibrium at = 37.0. Find (a) the charge on the ball and (b) the tension in the string. Figure P22.33 Problems 33 and 34arrow_forwardA uniform electric field given by E=(2.655.35j)105N/C permeates a region of space in which a small negatively charged sphere of mass 1.30 g is suspended by a light cord (Fig. P24.53). The sphere is found to be in equilibrium when the string makes an angle = 23.0. a. What is the charge on the sphere? b. What is the magnitude of the tension in the cord? FIGURE P24.53arrow_forward
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