1 Units, Physical Quantities, And Vectors 2 Motion Along A Straight Line 3 Motion In Two Or Three Dimensions 4 Newton’s Laws Of Motion 5 Applying Newton’s Laws 6 Work And Kinetic Energy 7 Potential Energy And Energy Conservation 8 Momentum, Impulse, And Collisions 9 Rotation Of Rigid Bodies 10 Dynamics Of Rotational Motion 11 Equilibrium And Elasticity 12 Fluid Mechanics 13 Gravitation 14 Periodic Motion 15 Mechanical Waves 16 Sound And Hearing 17 Temperature And Heat 18 Thermal Properties Of Matter 19 The First Law Of Thermodynamics 20 The Second Law Of Thermodynamics 21 Electric Charge And Electric Field 22 Gauss’s Law 23 Electric Potential 24 Capacitance And Dielectrics 25 Current, Resistance, And Electromotive Force 26 Direct-current Circuits 27 Magnetic Field And Magnetic Forces 28 Sources Of Magnetic Field 29 Electromagnetic Induction 30 Inductance 31 Alternating Current 32 Electromagnetic Waves 33 The Nature And Propagation Of Light 34 Geometric Optics 35 Interference 36 Diffraction 37 Relativity 38 Photons: Light Waves Behaving As Particles 39 Particles Behaving As Waves 40 Quantum Mechanics I: Wave Functions 41 Quantum Mechanics Ii: Atomic Structure 42 Molecules And Condensed Matter 43 Nuclear Physics 44 Particle Physics And Cosmology expand_more
22.1 Charge And Electric Flux 22.2 Calculating Electric Flux 22.3 Gauss’s Law 22.4 Applications Of Gauss’s Law 22.5 Charges On Conductors Chapter Questions expand_more
Problem 22.1DQ: A rubber balloon has a single point charge in its interior. Does the electric flux through the... Problem 22.2DQ: Suppose that in Fig. 22.15 both charges were positive. What would be the fluxes through each of the... Problem 22.3DQ: In Fig. 22.15, suppose a third point charge were placed outside the purple Gaussian surface C. Would... Problem 22.4DQ: A certain region of space bounded by an imaginary closed surface contains no charge. Is the electric... Problem 22.5DQ: A spherical Gaussian surface encloses a point charge q. If the point charge is moved from the center... Problem 22.6DQ: You find a sealed box on your doorstep. You suspect that the box contains several charged metal... Problem 22.7DQ: A solid copper sphere has a net positive charge. The charge is distributed uniformly over the... Problem 22.8DQ: A spherical Gaussian surface encloses a point charge q. If the point charge is moved from the center... Problem 22.9DQ: In a conductor, one or more electrons from each atom are free to roam throughout the volume of the... Problem 22.10DQ: You charge up the Van de Graaff generator shown in Fig. 22.26, and then bring an identical but... Problem 22.11DQ: Lightning is a flow of electrons. The lightning current runs through the copper cables since copper... Problem 22.12DQ: A solid conductor has a cavity in its interior. Would the presence of a point charge inside the... Problem 22.13DQ: Explain this statement: In a static situation, the electric field at the surface of a conductor can... Problem 22.14DQ: In a certain region of space, the electric field E is uniform. (a) Use Gausss law to prove that this... Problem 22.15DQ: (a) In a certain region of space, the volume charge density has a uniform positive value. Can E be... Problem 22.16DQ: A negative charge Q is placed inside the cavity of a hollow metal solid. The outside of the solid is... Problem 22.1E: A flat sheet of paper of area 0.250 m2 is oriented so that the normal to the sheet is at an angle of... Problem 22.2E: A flat sheet is in the shape of a rectangle with sides of lengths 0.400 m and 0.600 m. The sheet is... Problem 22.3E: You measure an electric field of 1.25 106 N/C at a distance of 0.150 m from a point charge. There... Problem 22.4E: It was shown in Example 21.10 (Section 21.5) that the electric field due to an infinite line of... Problem 22.5E: A hemispherical surface with radius r in a region of uniform electric field E has its axis aligned... Problem 22.6E: The cube in Fig. E22.6 has sides of length L = 10.0 cm. The electric field is uniform, has magnitude... Problem 22.7E: BIO As discussed in Section 22.5, human nerve cells have a net negative charge and the material in... Problem 22.8E: The three small spheres shown in Fig. E22.8 carry charges q1 = 4.00 nC, q2 = 7.80 nC, and q3 = 2.40... Problem 22.9E: A charged paint is spread in a very thin uniform layer over the surface of a plastic sphere of... Problem 22.10E: A point charge q1 = 4.00 nC is located on the x-axis at x = 2.00 m, and a second point charge q2 =... Problem 22.11E: A 6.20 C point charge is at the center of a cube with sides of length 0.500 m. (a) What is the... Problem 22.12E: Electric Fields in an Atom. The nuclei of large atoms, such as uranium, with 92 protons, can be... Problem 22.13E: Two very long uniform lines of charge are parallel and are separated by 0.300 m. Each line of charge... Problem 22.14E: A solid metal sphere with radius 0.450 m carries a net charge of 0.250 nC. Find the magnitude of the... Problem 22.15E: How many excess electrons must be added to an isolated spherical conductor 26.0 cm in diameter to... Problem 22.16E: Some planetary scientists have suggested that the planet Mars has an electric field somewhat similar... Problem 22.17E: A very long uniform line of charge has charge per unit length 4.80 C/m and lies along the x-axis. A... Problem 22.18E: The electric field 0.400 m from a very long uniform line of charge is 840 N/C. How much charge is... Problem 22.19E: A hollow, conducting sphere with an outer radius of 0.250 m and an inner radius of 0.200 m has a... Problem 22.20E: (a) At a distance of 0.200 cm from the center or a charged conducting sphere with radius 0.100 cm,... Problem 22.21E: The electric field at a distance of 0.145 m from the surface of a solid insulating sphere with... Problem 22.22E: A point charge of 3.00 C is located in the center of a spherical cavity of radius 6.50 cm that, in... Problem 22.23E: CP An electron is released from rest at a distance of 0.300 m from a large insulating sheet of... Problem 22.24E: Charge Q is distributed uniformly throughout the volume of an insulating sphere of radius R = 4.00... Problem 22.25E: A conductor with an inner cavity, like that shown in Fig. 22.23c, carries a total charge of +5.00... Problem 22.26E: A very large, horizontal, nonconducting sheet of charge has uniform charge per unit area = 5.00 ... Problem 22.27E: Apply Gausss law to the Gaussian surfaces S2, S3, and S4 in Fig. 22.21b to calculate the electric... Problem 22.28E: A square insulating sheet 80.0 cm on a side is held horizontally. The sheet has 4.50 nC of charge... Problem 22.29E: An infinitely long cylindrical conductor has radius R and uniform surface charge density . (a) In... Problem 22.30E: Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities 1,... Problem 22.31P: CP At time t = 0 a proton is a distance of 0.360 m from a very large insulating sheet of charge and... Problem 22.32P: CP A very small object with mass 8.20 109 kg and positive charge 6.50 109 C is projected directly... Problem 22.33P: CP A small sphere with mass 4.00 106 kg and charge 5.00 108C hangs from a thread near a very... Problem 22.34P: A cube has sides of length L = 0.300 m. One corner is at the origin (Fig. E22.6). The nonuniform... Problem 22.35P: The electric field E in Fig. P22.35 is everywhere parallel to the x-axis, so the components Ey and... Problem 22.36P: CALC In a region of space there is an electric field E that is in the z-direction and that has... Problem 22.37P: The electric field E1 at one face of a parallelepiped is uniform over the entire face and is... Problem 22.38P: A long line carrying a uniform linear charge density +50.0 C/m runs parallel to and 10.0 cm from the... Problem 22.39P: The Coaxial Cable. A long coaxial cable consists of an inner cylindrical conductor with radius a and... Problem 22.40P: A very long conducting tube (hollow cylinder) has inner radius a and outer radius b. It carries... Problem 22.41P: A very long, solid cylinder with radius R has positive charge uniformly distributed throughout it,... Problem 22.42P: A Sphere in a Sphere. A solid conducting sphere carrying charge q has radius a. It is inside a... Problem 22.43P: A solid conducting sphere with radius R that carries positive charge Q is concentric with a very... Problem 22.44P: A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q... Problem 22.45P: Concentric Spherical Shells. A small conducting spherical shell with inner radius a and outer radius... Problem 22.46P: Repeat Problem 22.45, but now let the outer shell have charge 2q. The inner shell still has charge... Problem 22.47P Problem 22.48P: A solid conducting sphere with radius R carries a positive total charge Q. The sphere is surrounded... Problem 22.49P: CALC An insulating hollow sphere has inner radius a and outer radius b. Within the insulating... Problem 22.50P: CP Thomsons Model of the Atom. Early in the 20th century, a leading model of the structure of the... Problem 22.51P: Thomsons Model of the Atom, Continued. Using Thomsons (outdated) model of (he atom described in... Problem 22.52P: (a) How many excess electrons must be distributed uniformly within the volume of an isolated plastic... Problem 22.53P: CALC A nonuniform, but spherically symmetric, distribution of charge has a charge density (r) given... Problem 22.54P: A Uniformly Charged Slab. A slab of insulating material has thickness 2d and is oriented so that its... Problem 22.55P: CALC A Nonuniformly Charged Slab. Repeat Problem 22.54, but now let the charge density of the slab... Problem 22.56P: CALC A nonuniform, but spherically symmetric, distribution of charge has a charge density (r) given... Problem 22.57P: (a) An insulating sphere with radius a has a uniform charge density . The sphere is not centered at... Problem 22.58P: A very long, solid insulating cylinder has radius R; bored along its entire length is a cylindrical... Problem 22.59P: DATA In one experiment the electric field is measured for points at distances r from a uniform line... Problem 22.60P: DATA The electric field is measured for points at distances r from the center of a uniformly charged... Problem 22.61P: DATA The volume charge density for a spherical charge distribution of radius R = 6.00 mm is not... Problem 22.62CP: CP CALC A region in space contains a total positive charge Q that is distributed spherically such... Problem 22.63PP: Suppose that to repel electrons in the radiation from a solar flare, each sphere must produce an... Problem 22.64PP: What is the magnitude of E just outside the surface of such a sphere? (a) 0; (b) 106 N/C; (c) 107... Problem 22.65PP: SPACE RADIATION SHIELDING. One of the hazards facing humans in space is space radiation: high-energy... Problem 22.66PP: SPACE RADIATION SHIELDING. One of the hazards facing humans in space is space radiation: high-energy... format_list_bulleted