1 Introduction, Measurement, Estimating 2 Describing Motion: Kinematics In One Dimension 3 Kinematics In Two Or Three Dimensions; Vectors 4 Dynamics: Newton's Laws Of Motion 5 Using Newton's Laws: Friction, Circular Motion, Drag Forces 6 Gravitation And Newton's Synthesis 7 Work And Energy 8 Conservation Of Energy 9 Linear Momentum 10 Rotationalmotion 11 Angular Momentum; General Rotation 12 Static Equilibrium; Elasticity And Fracture 13 Fluids 14 Oscillations 15 Wave Motion 16 Sound 17 Temperature, Thermal Expansion And The Ideal Gas Law 18 Kinetic Theory Of Gases 19 Heat And The First Law Of Thermodynamics 20 Second Law Of Thermodynamics 21 Electric Charge And Electric Field 22 Gauss's Law 23 Electric Potential 24 Capacitance, Dielectrics, Electric Energy Storage 25 Electric Currents And Resistance 26 Dc Circuits 27 Magnetism 28 Sources Of Magnetic Field 29 Electromagnetic Induction And Faraday's Law 30 Inductance, Electromagnetic Oscillations, And Ac Circuits 31 Maxwell's Equation And Electromagnetic Waves 32 Light: Reflection And Refraction 33 Lenses And Optical Instruments 34 The Wave Nature Of Light: Interference 35 Diffraction And Polarization 36 Special Theory Of Relativity 37 Early Quantum Theory And Models Of The Atom 38 Quantum Mechanics 39 Quantum Mechanics Of Atoms 40 Molecules And Solids 41 Nuclear Physics And Radioactivity 42 Nuclear Energy; Effects And Uses Of Radiation 43 Elementary Particles 44 Astrophysics And Cosmology expand_more
22.1 Electric Flux 22.2 Gauss’s Law 22.3 Applications Of Gauss’s Law 22.4 Experimental Basis Of Gauss’s And Coulomb’s Laws Chapter Questions expand_more
Problem 1Q: If the electric flux through a closed surface is zero, is the electric field necessarily zero at all... Problem 2Q: Is the electric field E in Gausss law. EdA=Qencl/0, created only by the charge Qencl? Problem 3Q: A point charge is surrounded by a spherical gaussian surface of radius r. If the sphere is replaced... Problem 4Q: What can you say about the flux through a closed surface that encloses an electric dipole? Problem 5Q: The electric field E is zero at all points on a closed surface: is there necessarily no net charge... Problem 6Q: Define gravitational flux in analogy to electric flux. Are there sources and sinks for the... Problem 7Q: Would Gausss law be helpful in determining the electric field due to an electric dipole? Problem 8Q: A spherical basketball (a nonconductor) is given a charge Q distributed uniformly over its surface.... Problem 9Q: In Example 226, it may seem that the electric field calculated is due only to the charge on the wire... Problem 10Q: Suppose the line of charge in Example 226 extended only a short way beyond the ends of the cylinder... Problem 11Q: A point charge Q is surrounded by a spherical surface of radius r0, whose center is at C. Later, the... Problem 12Q: A solid conductor carries a net positive charge Q. There is a hollow cavity within the conductor, at... Problem 13Q: A point charge q is placed at the center of the cavity of a thin metal shell which is neutral. Will... Problem 14Q: A small charged ball is inserted into a balloon. The balloon is then blown up slowly. Describe how... Problem 1P: (I) A uniform electric field of magnitude 5.8 102 N/C passes through a circle of radius 13 cm. What... Problem 2P: (I) The Earth possesses an electric field of (average) magnitude 150 N/C near its surface. The field... Problem 3P: (II) A cube of side l is placed in a uniform field E0 with edges parallel to the field lines. (a)... Problem 4P: (II) A uniform field E is parallel to the axis of a hollow hemisphere of radius r, Fig. 2225. (a)... Problem 5P: (I) The total electric flux from a cubical box 28.0 cm on a side is 1.84 103 N m2/C. What charge... Problem 6P: (I) Figure 2226 shows five closed surfaces that surround various charges in a plane, as indicated.... Problem 7P: (II) In Fig. 2227, two objects, O1 and O2, have charges + 1.0 C and 2.0 C respectively, and a third... Problem 8P: (II) A ring of charge with uniform charge density is completely enclosed in a hollow donut shape. An... Problem 9P: (II) In a certain region of space, the electric field is constant in direction (say horizontal, in... Problem 10P: (II) A point charge Q is placed at the center of a cube of side . What is the flux through one face... Problem 11P: (II) A 15.0-cm-long uniformly charged plastic rod is sealed inside a plastic bag. The total electric... Problem 12P: (I) Draw the electric field lines around a negatively charged metal egg. Problem 13P: (I) The field just outside a 3.50-cm-radius metal hall is 6.25 102 N/C and points toward the ball.... Problem 14P: (I) Starting from the result of Example 223, show that the electric field just outside a uniformly... Problem 15P: (I) A long thin wire, hundreds of meters long, carries a uniformly distributed charge of 7.2 C per... Problem 16P: (I) A metal globe has l.50 mC of charge put on it at the north pole. Then 3.00 mC of charge is... Problem 17P: (II) A nonconducting sphere is made of two layers. The innermost section has a radius of 6.0 cm and... Problem 18P: (II) A solid metal sphere of radius 3.00 m carries a total charge of 5.50 C. What is the magnitude... Problem 19P: (II) A 15.0-cm-diameter nonconducting sphere carries a total charge of 2.25 C distributed uniformly... Problem 20P: (II) A flat square sheet of thin aluminum foil, 25cm on a side, carries a uniformly distributed 275... Problem 21P: (II) A spherical cavity of radius 4.50 cm is at the center of a metal sphere of radius 18.0cm. A... Problem 22P: (II) A point charge Q rests at the center of an uncharged thin spherical conducting shell. What is... Problem 23P: (II) A solid metal cube has a spherical cavity at its center as shown in Fig. 2229. At the center of... Problem 24P: (II) Two large, flat metal plates are separated by a distance that is very small compared to their... Problem 25P: (II) Suppose the two conducting plates in Problem 24 have the same sign and magnitude of charge.... Problem 26P: (II) The electric field between two square metal plates is 160 N/C. The plates are 1.0 m on a side... Problem 27P: (II) Two thin concentric spherical shells of radii r1 and r2 (r1 r2) contain uniform surface charge... Problem 28P: (II) A spherical rubber balloon carries a total charge Q uniformly distributed on its surface. At t... Problem 29P: (II) Suppose the nonconducting sphere of Example 224 has a spherical cavity of radius r1 centered at... Problem 30P: (II) Suppose in Fig. 2232, Problem 29, there is also a charge q at the center of the cavity.... Problem 31P: (II) Suppose the thick spherical shell of Problem 29 is a conductor. It carries a total net charge Q... Problem 32P: (II) Suppose that at the center of the cavity inside the shell (charge Q) of Fig. 2211 (and Example... Problem 33P: (II) A long cylindrical shell of radius R0 and length (R0l) possesses a uniform surface charge... Problem 34P: (II) A very long solid nonconducting cylinder of radius R0 and length (R0 ) possesses a uniform... Problem 35P: (II) A thin cylindrical shell of radius R1 is surrounded by a second concentric cylindrical shell of... Problem 36P: (II) A thin cylindrical shell of radius R1 = 6.5 cm is surrounded by a second cylindrical shell of... Problem 37P: (II) (a) If an electron (m = 9.1 1031 kg) escaped from the surface of the inner cylinder in Problem... Problem 38P: (II) A very long solid nonconducting cylinder of radius R1 is uniformly charged with a charge... Problem 39P: (II) A nonconducting sphere of radius r0 is uniformly charged with volume charge density E. It is... Problem 40P: (II) A very long solid nonconducting cylinder of radius R1 is uniformly charged with charge density... Problem 41P: (II) A flat ring (inner radius R0, outer radius 4R0) is uniformly charged. In terms of the total... Problem 42P: (II) An uncharged solid conducting sphere of radius r0 contains two spherical cavities of radii r1... Problem 43P: (III) A very large (i.e., assume infinite) flat slab of nonconducting material has thickness d and a... Problem 44P: (III) Suppose the density of charge between r1 and r0 of the hollow sphere of Problem 29 (Fig. 2232)... Problem 45P: (III) Suppose two thin flat plates measure 1.0 m 1.0 m and are separated by 5.0 mm. They are... Problem 46P: (III) A flat slab of nonconducting material (Fig. 2240) carries a uniform charge per unit volume, E.... Problem 47P: (III) A flat slab of nonconducting material has thickness 2d, which is small compared to its height... Problem 48P: (III) An extremely long, solid nonconducting cylinder has a radius R0. The charge density within the... Problem 49P: (III) Charge is distributed within a solid sphere of radius r0 in such a way that the charge density... Problem 50GP: A point charge Q is on the axis of a short cylinder at its center. The diameter of the cylinder is... Problem 51GP Problem 52GP: The Earth is surrounded by an electric field, pointing inward at every point, of magnitude E 150... Problem 53GP: A cube of side has one corner at the origin of coordinates, and extends along the positive x, y,... Problem 54GP: A solid nonconducting sphere of radius r0 has a total charge Q which is distributed according to E =... Problem 55GP: A point charge of 9.20 nC is located at the origin and a second charge of 5.00 nC is located on the... Problem 56GP: A point charge produces an electric flux of +235 N m2/C through a gaussian sphere of radius 15.0 cm... Problem 57GP: A point charge Q is placed a distance r0/2 above the surface of an imaginary spherical surface of... Problem 58GP: Three large but thin charged sheets are parallel to each other as shown in Fig. 2244. Sheet I has a... Problem 59GP: Neutral hydrogen can be modeled as a positive point charge + 1.6 1019 C surrounded by a... Problem 60GP: A very large thin plane has uniform surface charge density . Touching it on the right (Fig. 2245) is... Problem 61GP: A sphere of radius r0 carries a volume charge density E (Fig. 2246). A spherical cavity of radius... Problem 62GP: Dry air will break down and generate a spark if the electric field exceeds about 3 106 N/C. How... Problem 63GP: Three very large sheets are separated by equal distances of 15.0 cm (Fig. 2247). The first and third... Problem 64GP: In a cubical volume, 0.70 m on a side, the electric field is E=E0(1+za)i+E0(za)j where E0 = 0.125... Problem 65GP: A conducting spherical shell (Fig. 2249) has inner radius = 10.0 cm, outer radius = 15.0 cm, and has... Problem 66GP: A hemisphere of radius R is placed in a charge-free region of space where a uniform electric field... Problem 67GP: (III) An electric field is given by E=Ex0e(x+ya)2i+Ey0e(x+ya)2j, where Ex0 = 50 N/C, Ey0 = 25 N/C,... format_list_bulleted