Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 19, Problem 40P
(a)
To determine
The total electric flux through the surface of the shell.
(b)
To determine
The total electric flux at any hemi spherical surface of the shell.
(c)
To determine
To explain: The result depends on the radius or not.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A uniform charge density of 660 nC/m3 is distributed throughout a spherical volume of radius 6.00 cm. Consider a cubical Gaussian surface with its center at the center of the sphere.
(a) What is the electric flux through this cubical surface if its edge length is 2.30 cm?___________N · m2/C(b) What is the electric flux through this cubical surface if its edge length is 17.0 cm?
___________N · m2/C
A small conducting ball that carries a charge of 30.0 nC islocated at the center of an electrically neutral hollow conductingsphere of inner radius 100 mm and outer radius 150 mm. Whatis the surface charge density (a) on the sphere’s inner surface and(b) on its outer surface? (c) Determine the electric field as a functionof r, the radial distance from the center of the sphere
A Gaussian surface in the form of a hemisphere of radius R = 5.84 cm lies in a uniform electric field of magnitude E = 2.20 N/C. The surface encloses no net charge. At the (flat) base of the surface, the field is perpendicular to the surface and directed into the surface.
(a) What is the flux through the base? ______________N · m2/C(b) What is the flux through the curved portion of the surface? _______________N · m2/C
Chapter 19 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 19.2 - Three objects are brought close to one another,...Ch. 19.3 - Three objects are brought close to one another,...Ch. 19.4 - Object A has a charge of +2 C, and object B has a...Ch. 19.5 - A test charge of +3 C is at a point P where an...Ch. 19.6 - Rank the magnitudes of the electric field at...Ch. 19.9 - If the net flux through a gaussian surface is...Ch. 19.9 - Consider the charge distribution shown in Active...Ch. 19 - A point charge of 4.00 nC is located at (0, 1.00)...Ch. 19 - Charges of 3.00 nC, 2.00 nC, 7.00 nC, and 1.00 nC...Ch. 19 - An object with negative charge is placed in a...
Ch. 19 - A particle with charge q is located inside a...Ch. 19 - Prob. 5OQCh. 19 - Prob. 6OQCh. 19 - Rank the electric fluxes through each gaussian...Ch. 19 - A circular ring of charge with radius b has total...Ch. 19 - Two solid spheres, both of radius 5 cm, carry...Ch. 19 - An electron with a speed of 3.00 106 m/s moves...Ch. 19 - A very small ball has a mass of 5.00 103 kg and a...Ch. 19 - In which of the following contexts can Gausss law...Ch. 19 - Two point charges attract each other with an...Ch. 19 - Three charged particles are arranged on corners of...Ch. 19 - Assume the charged objects in Figure OQ19.15 are...Ch. 19 - A uniform electric field exists in a region of...Ch. 19 - Prob. 2CQCh. 19 - If more electric field lines leave a gaussian...Ch. 19 - Prob. 4CQCh. 19 - Prob. 5CQCh. 19 - Prob. 6CQCh. 19 - Prob. 7CQCh. 19 - A cubical surface surrounds a point charge q....Ch. 19 - Prob. 9CQCh. 19 - Prob. 10CQCh. 19 - Prob. 11CQCh. 19 - Prob. 12CQCh. 19 - Prob. 13CQCh. 19 - Prob. 14CQCh. 19 - A common demonstration involves charging a rubber...Ch. 19 - Prob. 1PCh. 19 - (a) Calculate the number of electrons in a small,...Ch. 19 - Nobel laureate Richard Feynman (19181088) once...Ch. 19 - Prob. 4PCh. 19 - Prob. 5PCh. 19 - Prob. 6PCh. 19 - Two small beads having positive charges q1 = 3q...Ch. 19 - Prob. 8PCh. 19 - Three charged particles are located at the corners...Ch. 19 - Particle A of charge 3.00 104 C is at the origin,...Ch. 19 - Prob. 11PCh. 19 - Prob. 12PCh. 19 - Review. A molecule of DNA (deoxyribonucleic acid)...Ch. 19 - Prob. 14PCh. 19 - Prob. 15PCh. 19 - Prob. 16PCh. 19 - In Figure P19.17, determine the point (other than...Ch. 19 - Prob. 18PCh. 19 - Three point charges are arranged as shown in...Ch. 19 - Consider the electric dipole shown in Figure...Ch. 19 - A uniformly charged insulating rod of length 14.0...Ch. 19 - Prob. 22PCh. 19 - A rod 14.0 cm long is uniformly charged and has a...Ch. 19 - Prob. 24PCh. 19 - Prob. 25PCh. 19 - Prob. 26PCh. 19 - Prob. 27PCh. 19 - Three equal positive charges q are at the comers...Ch. 19 - Prob. 29PCh. 19 - Prob. 30PCh. 19 - Prob. 31PCh. 19 - Prob. 32PCh. 19 - A proton accelerates from rest in a uniform...Ch. 19 - Prob. 34PCh. 19 - Prob. 35PCh. 19 - Prob. 36PCh. 19 - Prob. 37PCh. 19 - A particle with charge Q is located a small...Ch. 19 - Prob. 39PCh. 19 - Prob. 40PCh. 19 - A particle with charge Q = 5.00 C is located at...Ch. 19 - Prob. 42PCh. 19 - Prob. 43PCh. 19 - Prob. 44PCh. 19 - Prob. 45PCh. 19 - A nonconducting wall carries charge with a uniform...Ch. 19 - In nuclear fission, a nucleus of uranium-238,...Ch. 19 - Consider a long, cylindrical charge distribution...Ch. 19 - A 10.0-g piece of Styrofoam carries a net charge...Ch. 19 - An insulating solid sphere of radius a has a...Ch. 19 - A large, flat, horizontal sheet of charge has a...Ch. 19 - A cylindrical shell of radius 7.00 cm and length...Ch. 19 - Consider a thin, spherical shell of radius 14.0 cm...Ch. 19 - Prob. 54PCh. 19 - Prob. 55PCh. 19 - Prob. 56PCh. 19 - A solid conducting sphere of radius 2.00 cm has a...Ch. 19 - A very large, thin, flat plate of aluminum of area...Ch. 19 - A thin, square, conducting plate 50.0 cm on a side...Ch. 19 - A long, straight wire is surrounded by a hollow...Ch. 19 - A square plate of copper with 50.0-cm sides has no...Ch. 19 - Prob. 62PCh. 19 - Prob. 63PCh. 19 - Prob. 64PCh. 19 - Prob. 65PCh. 19 - Why is the following situation impossible? An...Ch. 19 - A small, 2.00-g plastic ball is suspended by a...Ch. 19 - Two point charges qA = 12.0 C and qB = 45.0 C and...Ch. 19 - Prob. 69PCh. 19 - Prob. 70PCh. 19 - Prob. 71PCh. 19 - Two small spheres of mass m are suspended from...Ch. 19 - Two infinite, nonconducting sheets of charge are...Ch. 19 - Consider the charge distribution shown in Figure...Ch. 19 - A solid, insulating sphere of radius a has a...Ch. 19 - Prob. 76PCh. 19 - Prob. 77PCh. 19 - Prob. 78P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2. From this information, use Gausss law to find (a) the charge per unit length on the inner surface of the cylinder, (b) the charge per unit length on the outer surface of the cylinder, and (c) the electric field outside the cylinder a distance r from the axis.arrow_forwardA dosed surface with dimensions a = b= 0.400 111 and c = 0.600 in is located as shown in Figure 124.63. The left edge of the closed surface is located at position x = a. The electric field throughout the region is non- uniform and is given by E = (3.00 + 2.00x2)i N/C, where x is in meters. (a) Calculate the net electric flux leaving the closed surface. (b) What net charge enclosed by the surface?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 P19.41. Determine the electric flux through one face of the cube.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_forwardTwo 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 A midway between the two spheres. FIGURE P25.41 Problems 41 and 42.arrow_forwardA sphere of radius R = 1.00 m surrounds a particle with charge Q = 50.0 C located at its center as shown in Figure P23.43. Find the electric flux through a circular cap of half-angle = 45.0. Figure P23.43arrow_forward
- A sphere of radius R=0.255 m and uniform charge density −151 nC/m3 lies at the center of a spherical, conducting shell of inner and outer radii 3.50R and 4.00R, respectively. If the conducting shell carries a total charge of Q=14.3 nC, find the magnitude of the electric field at the given radial distances from the center of the charge distribution. 0.360R: ? 3.60R: ? 3.40R: ?arrow_forward1.Charge is uniformly distributed around a ring of radius R = 2.40 cm, and the resulting electric field magnitude E is measured along the ring's central axis (perpendicular to the plane of the ring).At what distance from the ring's center is E maximum?arrow_forwardA point charge is located at the origin. Centered along the x axis is a cylindrical closed surface of radius 10 cm with one end surface located at x = 2 m and the other end surface located at x = 2.5 m. If the magnitude of the electric flux through the surface at x = 2 m is 4 N . m2 /C, what is the magnitude of the electric flux through the surface at x = 2.5 m? Select one: a. 1.8 N . m2 /C b. 2.56 N . m2 /C c. 1.0 N . m2 /C d. 4.0 N . m2 /C e. 5.0 N . m2 /Carrow_forward
- A solid insulating sphere of radius 0.07 m carries a total charge of 25 µC. Concentric with this sphere is a conducting spherical shell of inner radius 0.12 m and outer radius of 0.18 m and carrying a total charge of -54 µC. Find (a) the charge distribution for the insulating sphere and the conducting spherical shell, and the magnitude of the electric field at the following distances from the center of the two spheres and shell: (b) 0.05 m, (c) 0.10 m, (d) 0.15 m, and (e) 0.25 m.arrow_forwardAn insulating solid sphere of radius R = 6.0cm has a total positive charge Q uniformly distributed throughout its volume. The electric flux through a spherical Gaussian surface of radius r = 3.0cm is 2.26x105N.m2/C. How much charge (in units of μC) is enclosed by the Gaussian surface of radius r =3.0cm? What is the magnitude ( in units of 106N/C) of the E-field at the Gaussian surface of part (1)? What is the magnitude (in units of 106N/C) of the -field at surface of the sphere? (Example: If your answer is 3.4x106N/C, enter 3.4 in the answer box).arrow_forwardAn insulating solid sphere of radius R = 6.0cm has a total positive charge Q uniformly distributed throughout its volume. The electric flux through a spherical Gaussian surface of radius r = 3.0cm is 2.26x105N.m2/C. How much charge (in units of μC) is enclosed by the Gaussian surface of radius r =3.0cm? What is the magnitude ( in units of 106N/C) of the E-field at the Gaussian surface of part (1)? What is the magnitude (in units of 106N/C) of the E-field at surface of the sphere?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY