PHY SCIENTISTS&ENG V1 1-21 PKG W/MASTE
4th Edition
ISBN: 9780134564241
Author: Knight
Publisher: PEARSON
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Chapter 23, Problem 20EAP
You've hung two very large sheets of plastic facing each other with distance d between them, as shown in FIGURE EX23.20. By rubbing them with wool and silk, you've managed to give one sheet a uniform surface charge density
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A uniformly charged disk with radius
R = 35.0 cm
and uniform charge density
? = 7.10 ✕ 10−3 C/m2
lies in the xy-plane, with its center at the origin. What is the electric field (in MN/C) due to the charged disk at the following locations?
(a)
z = 5.00 cm
MN/C
(b)
z = 10.0 cm
Use the equation for the electric field for a disk derived in the textbook. MN/C
(c)
z = 50.0 cm
MN/C
(d)
z = 200 cm
MN/C
A solid sphere of radius a is concentric with a hollow sphere of radius b, where b > a. If the solid sphere has a uniform charge distribution totaling +Q and the hollow sphere a charge of –Q, the electric field at radius r, where r < a, is which of the following, in terms of k = (4π∈0)–1?
Choose the correct answer.
kQ/b2
zero
kQ/a2
kQr/a3
kQ/r2
A solid sphere, of radius a = 2.30 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net charge q1 = +6.00 fC which is distributed uniformly through the sphere; the shell has a net charge of q2 = −q1.
(d) What is the magnitude of the electric field at radial distance r = 1.60a?
(e) What is the magnitude of the electric field at radial distance r = 2.20a?
(f) What is the magnitude of the electric field at radial distance r = 3.30a?
Chapter 23 Solutions
PHY SCIENTISTS&ENG V1 1-21 PKG W/MASTE
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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- FIGURE P25.41 Problems 51 and 52. Find the surface charge density of a sheet of charge that would produce the same electric field as that of a very large flat slab of uniform charge density = 2.00 C/m3 and thickness 2t = 5.00 cm (Fig. P25.51).arrow_forwardA solid insulating sphere of radius a = 5.00 cm carries a net positive charge of Q = 3.00 C uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b = 10.0 cm and outer radius c = 15.0 cm as shown in Figure P24.54, having net charge q = 1.00 C Prepare a graph of the magnitude of the electric field due to this configuration versus r for O r 25.0 cm.arrow_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
- Assume the magnitude of the electric field on each face of the cube of edge L = 1.00 m in Figure P23.32 is uniform and the directions of the fields on each face are as indicated. Find (a) the net electric flux through the cube and (b) the net charge inside the cube. (c) Could the net charge he a single point charge? Figure P23.32arrow_forwardThe 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 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_forward
- (a) Consider a uniformly charged, thin-walled, right circular cylindrical shell having total charge Q, radius R, and length . Determine the electric field at a point a distance d from the right side of the cylinder as shown in Figure P23.9. Suggestion: Use the result of Example 23.2 and treat the cylinder as a collection of ring charges. (b) What If? Consider now a solid cylinder with the same dimensions and carrying the same charge, uniformly distributed through its volume. Use the result of Example 23.3 to find the field it creates at the same point. Figure P23.9arrow_forwardTwo 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_forwardA very large, flat slab has uniform volume charge density and thickness 2t. A side view of the cross section is shown in Figure P25.51. a. Find an expression for the magnitude of the electric field inside the slab at a distance x from the center. b. If = 2.00 C/m3 and 2t = 8.00 cm, calculate the magnitude of the electric field at x = 300 FIGURE P25.41 Problems 51 and 52.arrow_forward
- A slab of insulating material has a nonuniform positive charge density = Cx2, where x is measured from the center of the slab as shown in Figure P23.45 and C is a constant. The slab is infinite in the y and z directions. Derive expressions for the electric field in (a) the exterior regions (|x| d/2) and (b) the interior region of the slab (d/2 x d/2). Figure P23.45arrow_forwardFIGURE P25.41 Problems 41 and 42. Two uniform spherical charge distributions (Fig. P25.41) each have a total charge of 45.3 mC and radius R = 15.2 cm. Their center-to-center distance is 37.50 cm. Find the magnitude of the electric field at point B, 7.50 cm from the center of one sphere and 30.0 cm from the center of the other sphere.arrow_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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