Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 25, Problem 78PQ
To determine
The electric field as a function of the radial distance within the charge distribution.
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Check out a sample textbook solutionChapter 25 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 25.1 - a. List all the uppercase letters that have the...Ch. 25.2 - The terms electric force, electric field, and...Ch. 25.2 - Prob. 25.3CECh. 25.3 - Which of the following expressions are correct...Ch. 25.3 - Find the electric flux through the three Gaussian...Ch. 25.4 - Prob. 25.6CECh. 25.7 - Is it possible for the charged solid sphere in...Ch. 25 - Which word or name has the same symmetry as the...Ch. 25 - Prob. 2PQCh. 25 - Prob. 3PQ
Ch. 25 - Prob. 4PQCh. 25 - Prob. 5PQCh. 25 - Prob. 6PQCh. 25 - A positively charged sphere and a negatively...Ch. 25 - A circular hoop of radius 0.50 m is immersed in a...Ch. 25 - Prob. 9PQCh. 25 - If the hemisphere (surface C) in Figure 25.10...Ch. 25 - A Ping-Pong paddle with surface area 3.80 102 m2...Ch. 25 - Prob. 12PQCh. 25 - A pyramid has a square base with an area of 4.00...Ch. 25 - Prob. 14PQCh. 25 - Prob. 15PQCh. 25 - A circular loop with radius r is rotating with...Ch. 25 - A circular loop with radius r is rotating with...Ch. 25 - Prob. 18PQCh. 25 - What is the net electric flux through each of the...Ch. 25 - Prob. 20PQCh. 25 - The colored regions in Figure P25.21 represent...Ch. 25 - Prob. 22PQCh. 25 - Prob. 23PQCh. 25 - Three particles and three Gaussian surfaces are...Ch. 25 - A Using Gausss law, find the electric flux through...Ch. 25 - Three point charges q1 = 2.0 nC, q2 = 4.0 nC, and...Ch. 25 - Prob. 27PQCh. 25 - A very long, thin wire fixed along the x axis has...Ch. 25 - Figure P25.29 shows a wry long tube of inner...Ch. 25 - Two very long, thin, charged rods lie in the same...Ch. 25 - Prob. 31PQCh. 25 - Two long, thin rods each have linear charge...Ch. 25 - Figure P25.33 shows a very long, thick rod with...Ch. 25 - A very long line of charge with a linear charge...Ch. 25 - Two infinitely long, parallel lines of charge with...Ch. 25 - An infinitely long wire with uniform linear charge...Ch. 25 - Prob. 37PQCh. 25 - Prob. 38PQCh. 25 - Prob. 39PQCh. 25 - Prob. 40PQCh. 25 - Two uniform spherical charge distributions (Fig....Ch. 25 - FIGURE P25.41 Problems 41 and 42. Two uniform...Ch. 25 - The nonuniform charge density of a solid...Ch. 25 - Prob. 44PQCh. 25 - What is the magnitude of the electric field just...Ch. 25 - Prob. 46PQCh. 25 - The infinite sheets in Figure P25.47 are both...Ch. 25 - Prob. 48PQCh. 25 - Prob. 49PQCh. 25 - Prob. 50PQCh. 25 - A very large, flat slab has uniform volume charge...Ch. 25 - FIGURE P25.41 Problems 51 and 52. Find the surface...Ch. 25 - Prob. 53PQCh. 25 - Prob. 54PQCh. 25 - If the magnitude of the surface charge density of...Ch. 25 - A spherical conducting shell with a radius of...Ch. 25 - A charged rod is placed in the center along the...Ch. 25 - A charged rod is placed in the center along the...Ch. 25 - A thick spherical conducting shell with an inner...Ch. 25 - A thick spherical conducting shell with an inner...Ch. 25 - A rectangular plate with sides 0.60 m and 0.40 m...Ch. 25 - Prob. 62PQCh. 25 - Prob. 63PQCh. 25 - A uniform spherical charge distribution has a...Ch. 25 - A rectangular surface extends from x = 0 to x =...Ch. 25 - A uniform electric field E = 1.57 104 N/C passes...Ch. 25 - A solid plastic sphere of radius R1 = 8.00 cm is...Ch. 25 - Examine the summary on page 780. Why are...Ch. 25 - Prob. 69PQCh. 25 - Prob. 70PQCh. 25 - Prob. 71PQCh. 25 - A coaxial cable is formed by a long, straight wire...Ch. 25 - Prob. 73PQCh. 25 - Prob. 74PQCh. 25 - A solid sphere of radius R has a spherically...Ch. 25 - A solid sphere of radius R has a spherically...Ch. 25 - A very large, horizontal conducting square plate...Ch. 25 - Prob. 78PQCh. 25 - A particle with charge q = 7.20 C is surrounded by...Ch. 25 - A sphere with radius R has a charge density given...
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- A solid sphere of radius R has a spherically symmetrical, nonuniform volume charge density given by (r) = A/r, where r is the radial distance from the center of the sphere in meters, and A is a constant such that the density has dimensions M/L3. a. Calculate the total charge in the sphere. b. Using the answer to part (a), write an expression for the magnitude of the electric field outside the spherethat is, for some distance r R. c. Find an expression for the magnitude of the electric field inside the sphere at position r R.arrow_forwardA solid sphere of radius R has a spherically symmetrical, nonuniform volume charge density given by (r) = A/r, where r is the radial distance from the center of the sphere in meters, and A is a constant such that the density has dimensions of M/L3. Sketch a graph of the magnitude of the electric field as a function of distance for 0 r 3R.arrow_forwardA sphere with radius R has a charge density given by = cr3. Use Gausss law to find an expression for the magnitude of the electric field at a distance r from the center of the sphere, where a. r R and b. r R.arrow_forward
- A circular loop with radius r is rotating with constant angular velocity in a uniform electric field with magnitude E. The axis of rotation is perpendicular to the electric field direction and is along the diameter of the loop. Initially, the electric flux through the loop is zero. Write an equation for the electric flux through the loop as a function of time in terms of r, E, and .arrow_forwardA thin wire with linear charge density =0y0(14+1y) extends from y0 = 1.00 m to infinity. If 0 = 1.45 105 C/m, what is the magnitude of the electric field due to this wire at the origin (y is measured in meters)?arrow_forwardOften we have distributions of charge for which integrating to find the electric field may not be possible in practice. In such cases, we may be able to get a good approximate solution by dividing the distribution into small but finite particles and taking the vector sum of the contributions of each. To see how this might work, consider a very thin rod of length L = 16 cm with uniform linear charge density = 50.0 nC/m. Estimate the magnitude of the electric field at a point P a distance d = 8.0 cm from the end of the rod by dividing it into n segments of equal length as illustrated in Figure P24.21 for n = 4. Treat each segment as a particle whose distance from point P is measured from its center. Find estimates of EP for n = 1, 2, 4, and 8 segments. FIGURE P24.21arrow_forward
- A coaxial cable is formed by a long, straight wire and a hollow conducting cylinder with axes that coincide. The wire has charge per unit length = 20, and the hollow cylinder has net charge per unit length = 30. Use Gausss law to answer these questions: What are the charges per unit length on a. the inner surface and b. the outer surface of the hollow cylinder? c. What is the electric field a radial distance d from the axis of the coaxial cable?arrow_forwardA Ping-Pong paddle with surface area 3.80 102 m2 is placed in a uniform electric field of magnitude 1.10 106 N/C. a. What is the magnitude of the electric flux through the paddle when the electric field is parallel to the paddles surface? b. What is the magnitude of the electric flux through the paddle when the electric field is perpendicular to the paddles surface?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_forward
- A positively charged sphere and a negatively charged sphere are in a sealed container. The only way the charged spheres can be examined is by observing the electric field outside the container. a. Given the depiction of the electric fields in Figure P25.7A, is the net electric flux through the container zero, positive, or negative? Explain your answer. b. Two different spheres are placed inside a container. Given the depiction of the electric fields in Figure P25.7B, is the net electric flux through the container zero, positive, or negative? Explain your answer.arrow_forwardA solid plastic sphere of radius R1 = 8.00 cm is concentric with an aluminum spherical shell with inner radius R2 = 14.0 cm and outer radius R3 = 17.0 cm (Fig. P25.67). Electric field measurements are made at two points: At a radial distance of 34.0 cm from the center, the electric field has magnitude 1.70 103 N/C and is directed radially outward, and at a radial distance of 12.0 cm from the center, the electric field has magnitude 9.10 104 N/C and is directed radially inward. What are the net charges on a. the plastic sphere and b. the aluminum spherical shell? c. What are the charges on the inner and outer surfaces of the aluminum spherical shell? FIGURE P25.67arrow_forwardIf the hemisphere (surface C) in Figure 25.10 (page 760) is tilted so that its disk-shaped cross section makes a 25 angle with the electric field, what is the electric flux through the hemisphere? Use Example 25.1 to check your result.arrow_forward
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