University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 22, Problem 22.8DQ
A spherical Gaussian surface encloses a point charge q. If the point charge is moved from the center of the sphere to a point away from the center, does the electric field at a point on the surface change? Does the total flux through the Gaussian surface change? Explain.
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Chapter 22 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 22.1 - If all of the dimensions of the box in Fig. 22.2a...Ch. 22.2 - Rank the following surfaces in order from most...Ch. 22.3 - Figure 22.16 shows six point charges that all lie...Ch. 22.4 - You place a known amount of charge Q on the...Ch. 22.5 - A hollow conducting sphere has no net charge....Ch. 22 - A rubber balloon has a single point charge in its...Ch. 22 - Suppose that in Fig. 22.15 both charges were...Ch. 22 - In Fig. 22.15, suppose a third point charge were...Ch. 22 - A certain region of space bounded by an imaginary...Ch. 22 - A spherical Gaussian surface encloses a point...
Ch. 22 - You find a sealed box on your doorstep. You...Ch. 22 - A solid copper sphere has a net positive charge....Ch. 22 - A spherical Gaussian surface encloses a point...Ch. 22 - In a conductor, one or more electrons from each...Ch. 22 - You charge up the Van de Graaff generator shown in...Ch. 22 - Lightning is a flow of electrons. The lightning...Ch. 22 - A solid conductor has a cavity in its interior....Ch. 22 - Explain this statement: In a static situation, the...Ch. 22 - In a certain region of space, the electric field E...Ch. 22 - (a) In a certain region of space, the volume...Ch. 22 - A negative charge Q is placed inside the cavity of...Ch. 22 - A flat sheet of paper of area 0.250 m2 is oriented...Ch. 22 - A flat sheet is in the shape of a rectangle with...Ch. 22 - You measure an electric field of 1.25 106 N/C at...Ch. 22 - It was shown in Example 21.10 (Section 21.5) that...Ch. 22 - A hemispherical surface with radius r in a region...Ch. 22 - The cube in Fig. E22.6 has sides of length L =...Ch. 22 - BIO As discussed in Section 22.5, human nerve...Ch. 22 - The three small spheres shown in Fig. E22.8 carry...Ch. 22 - A charged paint is spread in a very thin uniform...Ch. 22 - A point charge q1 = 4.00 nC is located on the...Ch. 22 - A 6.20 C point charge is at the center of a cube...Ch. 22 - Electric Fields in an Atom. The nuclei of large...Ch. 22 - Two very long uniform lines of charge are parallel...Ch. 22 - A solid metal sphere with radius 0.450 m carries a...Ch. 22 - How many excess electrons must be added to an...Ch. 22 - Some planetary scientists have suggested that the...Ch. 22 - A very long uniform line of charge has charge per...Ch. 22 - The electric field 0.400 m from a very long...Ch. 22 - A hollow, conducting sphere with an outer radius...Ch. 22 - (a) At a distance of 0.200 cm from the center or a...Ch. 22 - The electric field at a distance of 0.145 m from...Ch. 22 - A point charge of 3.00 C is located in the center...Ch. 22 - CP An electron is released from rest at a distance...Ch. 22 - Charge Q is distributed uniformly throughout the...Ch. 22 - A conductor with an inner cavity, like that shown...Ch. 22 - A very large, horizontal, nonconducting sheet of...Ch. 22 - Apply Gausss law to the Gaussian surfaces S2, S3,...Ch. 22 - A square insulating sheet 80.0 cm on a side is...Ch. 22 - An infinitely long cylindrical conductor has...Ch. 22 - Two very large, nonconducting plastic sheets, each...Ch. 22 - CP At time t = 0 a proton is a distance of 0.360 m...Ch. 22 - CP A very small object with mass 8.20 109 kg and...Ch. 22 - CP A small sphere with mass 4.00 106 kg and...Ch. 22 - A cube has sides of length L = 0.300 m. One corner...Ch. 22 - The electric field E in Fig. P22.35 is everywhere...Ch. 22 - CALC In a region of space there is an electric...Ch. 22 - The electric field E1 at one face of a...Ch. 22 - A long line carrying a uniform linear charge...Ch. 22 - The Coaxial Cable. A long coaxial cable consists...Ch. 22 - A very long conducting tube (hollow cylinder) has...Ch. 22 - A very long, solid cylinder with radius R has...Ch. 22 - A Sphere in a Sphere. A solid conducting sphere...Ch. 22 - A solid conducting sphere with radius R that...Ch. 22 - A conducting spherical shell with inner radius a...Ch. 22 - Concentric Spherical Shells. A small conducting...Ch. 22 - Repeat Problem 22.45, but now let the outer shell...Ch. 22 - Prob. 22.47PCh. 22 - A solid conducting sphere with radius R carries a...Ch. 22 - CALC An insulating hollow sphere has inner radius...Ch. 22 - CP Thomsons Model of the Atom. Early in the 20th...Ch. 22 - Thomsons Model of the Atom, Continued. Using...Ch. 22 - (a) How many excess electrons must be distributed...Ch. 22 - CALC A nonuniform, but spherically symmetric,...Ch. 22 - A Uniformly Charged Slab. A slab of insulating...Ch. 22 - CALC A Nonuniformly Charged Slab. Repeat Problem...Ch. 22 - CALC A nonuniform, but spherically symmetric,...Ch. 22 - (a) An insulating sphere with radius a has a...Ch. 22 - A very long, solid insulating cylinder has radius...Ch. 22 - DATA In one experiment the electric field is...Ch. 22 - DATA The electric field is measured for points at...Ch. 22 - DATA The volume charge density for a spherical...Ch. 22 - CP CALC A region in space contains a total...Ch. 22 - Suppose that to repel electrons in the radiation...Ch. 22 - What is the magnitude of E just outside the...Ch. 22 - SPACE RADIATION SHIELDING. One of the hazards...Ch. 22 - SPACE RADIATION SHIELDING. One of the hazards...
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- A charge of 1.70 102 C is at the center of a cube of edge 80.0 cm. No other charges are nearby. (a) Find the flux through the whole surface of the cube. (b) Find the flux through each face of the cube. (c) Would your answers to parts (a) or (b) change if the charge were not at the center? Explain.arrow_forwardIf more electric field lines leave a gaussian surface than enter it, what can you conclude about the net charge enclosed by that surface?arrow_forwardFour closed surfaces, S1 through S4, together with the charges 2Q, Q, and Q. are sketched in Figure P15.47. (The colored lines are the intersections of the surfaces with the page.) Find the electric flux through each surface. Figure P15.47arrow_forward
- An infinitely long line charge having a uniform charge per unit length lies a distance d from point O as shown in Figure P24.17. Determine the total electric flux through the surface of a sphere of radius R centered at O resulting from this line charge. Consider both cases, where (a) R d and (b) R d.arrow_forwardFind the net electric flux through the spherical closed surface shown in Figure P23.14. The two charges on the right are inside the spherical surface. Figure P23.14arrow_forward(a) Find the net electric flux through the cube shown in Figure P23.17. (b) Can you use Gausss law to find the electric field on the surface of this cube? Explain. Figure P23.17arrow_forward
- A charge of 1.70 102 C is at the center of a cube of edge 80.0 cm. No other charges are nearby. (a) Find the flux through the whole surface of the cube. (b) Find the flux through each face of the cube. (c) Would your answers to parts (a) or (b) change if the charge were not at the center? Explain.arrow_forwardA uniformly charged spherical shell with positive surface charge density contains a circular hole in its surface. The radius r of the hole is small compared with the radius R of the sphere. What is the electric field at the center of the hole? Suggestion: This problem can be solved by using the principle of superposition.arrow_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_forward
- Two equal and opposite charges of magnitude Q are located on the x-axis at the points +a and a , as shown below. What is the net flux due to these charges through a square surface of side 2a that lies in the yz-plane and is centered at the origin? (Hint: Deter-nine the flux due to each charge separately, then use the principle of superposition. You may be able to make a symmetry argument.)arrow_forwardFour closed surfaces, S1 through S4, together with the charges 2Q, Q, and Q. are sketched in Figure P15.47. (The colored lines are the intersections of the surfaces with the page.) Find the electric flux through each surface. Figure P15.47arrow_forwardExample 23.3 derives the exact expression for the electric field at a point on the axis of a uniformly charged disk. Consider a disk of radius R = 3.00 cm having a uniformly distributed charge of +5.20 C. (a) Using the result of Example 23.3, compute the electric field at a point on the axis and 3.00 mm from the center. (b) What If? Explain how the answer to part (a) compares with the field computed from the near-field approximation E = /20. (We derived this expression in Example 23.3.) (c) Using the result of Example 23.3, compute the electric field at a point on the axis and 30.0 cm from the center of the disk. (d) What If? Explain how the answer to part (c) compares with the electric field obtained by treating the disk as a +5.20-C charged particle at a distance of 30.0 cm.arrow_forward
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