PHYSICS F/SCI.+ENGR.W/MODERN...-W/CODE
4th Edition
ISBN: 9780134641010
Author: Knight
Publisher: PEARSON
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Textbook Question
Chapter 23, Problem 48EAP
A plastic rod with linear charge density ? is bent into the quarter circle shown in FIGURE P23.48. We want to find the electric field at the origin.
a. Write expressions for the x- and y-components of the electric field at the origin due to a small piece of charge at angle ?.
b. Write, but do not evaluate, definite integrals for the x- and y-components of the net electric field at the origin.
c. Evaluate the integrals and write
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PHYSICS F/SCI.+ENGR.W/MODERN...-W/CODE
Ch. 23 - l. You've been assigned the task of determining...Ch. 23 - Reproduce FIGURE Q23.2 on your paper. For each...Ch. 23 - Rank in order, from largest to smallest, the...Ch. 23 - A small segment of wire in FIGURE Q23.4 contains...Ch. 23 - An electron experiences a force of magnitude F...Ch. 23 - FIGURE Q23.6 shows a hollow soda straw that has...Ch. 23 - The irregularly shaped area of charge in FIGURE...Ch. 23 - A circular disk has surface charge density 8...Ch. 23 - A sphere of radius R has charge Q . The electric...Ch. 23 - The ball in FIGURE Q23.10 is suspended from a...
Ch. 23 - Rank in order, from largest to smallest, the...Ch. 23 - A parallel-plate capacitor consists of two square...Ch. 23 - A small object is released at point 3 in the...Ch. 23 - A proton and an electron are released from rest in...Ch. 23 - Three charges are placed at the comers of the...Ch. 23 - l. What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - An electric dipole is formed from two charges, q ,...Ch. 23 - An electric dipole is formed from ± 1.0 nC charges...Ch. 23 - An electret is similar to a magnet, but rather...Ch. 23 - The electric field strength 10.0 cm from a very...Ch. 23 - A 10-cm-long thin glass rod uniformly charged to...Ch. 23 - Two 10-cm-long thin glass rods uniformly charged...Ch. 23 - A small glass bead charged to + 6.0 nC is in the...Ch. 23 - The electric field 5.0 cm from a very long charged...Ch. 23 - A 12-cm-long thin rod has the nonuniform charge...Ch. 23 - Two charged rings face each other, 20 cm apart....Ch. 23 - Two 10-cm-diameter charged rings face each other,...Ch. 23 - Two charged disks face each other, 20 cm apart....Ch. 23 - The electric field strength 2.0 cm from the...Ch. 23 - A 20cm20cm cm horizontal metal electrode is...Ch. 23 - Two 2.0-cm-diameter insulating spheres have a 6.0...Ch. 23 - You've hung two very large sheets of plastic...Ch. 23 - A 2.0m X 4.0m flat carpet acquires a uniformly...Ch. 23 - Two circular disks spaced 0.50 mm apart form a...Ch. 23 - A parallel-plate capacitor is formed from two...Ch. 23 - Air "breaks down" when the electric field strength...Ch. 23 - Two parallel plates 1.0 cm apart are equally and...Ch. 23 - a. What is the electric field strength between the...Ch. 23 - Honeybees acquire a charge while flying due to...Ch. 23 - An electron traveling parallel to a uniform...Ch. 23 - The surface charge density on an infinite charged...Ch. 23 - An electron in a vacuum chamber is fired with a...Ch. 23 - A 1.0m -diameter oil droplet (density 900 kg/m3)...Ch. 23 - The permanent electric dipole moment of the water...Ch. 23 - A point charge Q is distance r from a dipole...Ch. 23 - An ammonia molecule (NH3) has a permanent electric...Ch. 23 - What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - What are the strength and direction of the...Ch. 23 - Prob. 38EAPCh. 23 - Prob. 39EAPCh. 23 - Derive Equation 23.11 for the field Edipolein the...Ch. 23 - FIGURE P23.41 is a cross section of two infinite...Ch. 23 - FIGURE P23.42 is a cross section of two infinite...Ch. 23 - Prob. 43EAPCh. 23 - Prob. 44EAPCh. 23 - Prob. 45EAPCh. 23 - Prob. 46EAPCh. 23 - Prob. 47EAPCh. 23 - A plastic rod with linear charge density ? is bent...Ch. 23 - An infinite plane of charge with surface charge...Ch. 23 - A sphere of radius R and surface charge density ?...Ch. 23 - Prob. 51EAPCh. 23 - An electron is launched at a 45 angle and a speed...Ch. 23 - The two parallel plates in FIGURE P23.53 are 2.0...Ch. 23 - Prob. 54EAPCh. 23 - Prob. 55EAPCh. 23 - 56. Your physics assignment is to figure out a way...Ch. 23 - Prob. 57EAPCh. 23 - Prob. 58EAPCh. 23 - Prob. 59EAPCh. 23 - Prob. 60EAPCh. 23 - Prob. 61EAPCh. 23 - Prob. 62EAPCh. 23 - In Problems 63 through 66 you are given the...Ch. 23 - Prob. 64EAPCh. 23 - Prob. 65EAPCh. 23 - Prob. 66EAPCh. 23 - A rod of length L lies along the y-axis with its...Ch. 23 - a. An infinitely long sheet of charge of width L...Ch. 23 - a. An infinitely long sheet of charge of width L...Ch. 23 - Prob. 70EAPCh. 23 - Prob. 71EAPCh. 23 - 72. A proton orbits a long charged wire, making ...Ch. 23 - Prob. 73EAP
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- Three particles and three Gaussian surfaces are shown in Figure P25.24. All the surfaces are three-dimensional. Use the net electric flux through each surface indicated on the figure to find the charge of each particle. FIGURE P25.24arrow_forwardA charged rod is curved so that it is part of a circle of radius R (Fig. P24.32). The excess positive charge Q is uniformly distributed on the rod. Find an expression for the electric field at point A in the plane of the curved rod in terms of the parameters given in the figure.arrow_forwardTwo infinitely long, parallel lines of charge with linear charge densities 3.2 C/m and 3.2 C/m are separated by a distance of 0.50 m. What is the net electric field at points A, B, and C as shown in Figure P25.35? FIGURE P25.35arrow_forward
- The infinite sheets in Figure P25.47 are both positively charged. The sheet on the left has a uniform surface charge density of 48.0 C/m2, and the one on the right has a uniform surface charge density of 24.0 C/m2. a. What are the magnitude and direction of the net electric field at points A, B, and C? b. What is the force exerted on an electron placed at points A, B, and C? FIGURE P25.47arrow_forwardFigure P23.23 represents the top view of a cubic gaussian surface in a uniform electric field E oriented parallel to the top and bottom faces of the cube. The field makes an angle with side , and the area of each face is A. In symbolic form, find the electric flux through (a) face , (b) face , (c) face , (d) face , and (e) the top and bottom faces of the cube. (f) What is the net electric flux through the cube? (g) How much charge is enclosed within the gaussian surface? Figure P23.23arrow_forwardA solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and e as shown in Figure P24.45. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density? Figure P24.45 Problems 43 and 47.arrow_forward
- Two positively charged spheres are shown in Figure P24.70. Sphere 1 has twice as much charge as sphere 2. If q = 6.55 nC, d = 0.250 m, and y = 1.25 m, what is the electric field at point A?arrow_forwardFigure P24.51 shows four small charged spheres arranged at the corners of a square with side d = 25.0 cm. a. What is the electric field at the location of the sphere with charge +2.00 nC? b. What is the total electric force exerted on the sphere with charge +2.00 nC by the other three spheres? FIGURE P24.51arrow_forwardA We saw in Figure 23.16 that a neutral metal can was attracted to a positively charged glass rod because the rod polarized the can. Lets model this situation in a very rough sense. Suppose a charged sphere C is held near two other charged spheres A and B as shown in Figure P23.62. Lets call the magnitude of the electrostatic force exerted by sphere C on A FA and that on B FB. Derive an expression for the ratio FA/FB. Comment on why a neutral conductor is attracted to a charged object. Figure P23.62arrow_forward
- A pyramid has a square base with an area of 4.00 m2 and a height of 3.5 m. Its walls are four isosceles triangles. The pyramid is in a uniform electric field of 655 N/C pointing downward (Fig. P25.13). What is the electric flux through the square base?arrow_forwardA very long, thin wire fixed along the x axis has a linear charge density of 3.2 C/m. a. Determine the electric field at point P a distance of 0.50 m from the wire. b. If there is a test charge q0 = 12.0 C at point P, what is the magnitude of the net force on this charge? In which direction will the test charge accelerate?arrow_forwardFigure P24.20 shows three charged spheres arranged along the y axis. a. What is the electric field at x = 0, y = 3.00 m? b. What is the electric field at x = 3.00 m, y = 0? FIGURE P24.20arrow_forward
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