1 Doing Physics 2 Motion In A Straight Line 3 Motion In Two And Three Dimensions 4 Force And Motion 5 Using Newton's Laws 6 Energy, Work, And Power 7 Conservation Of Energy 8 Gravity 9 Systems Of Particles 10 Rotational Motion 11 Rotational Vectors And Angular Momentum 12 Static Equilibrium 13 Oscillatory Motion 14 Wave Motion 15 Fluid Motion 16 Temperature And Heat 17 The Thermal Behavior Of Matter 18 Heat, Work, And The First Law Of Thermodynamics 19 The Second Law Of Thermodynamics 20 Electric Charge, Force, And Field 21 Gauss's Law 22 Electric Potential 23 Electrostatic Energy And Capacitors 24 Electric Current 25 Electric Circuits 26 Magnetism: Force And Field 27 Electromagnetic Induction 28 Alternating-current Circuits 29 Maxwell's Equations And Electromagnetic Waves 30 Reflection And Refraction 31 Images And Optical Instruments 32 Interference And Diffraction 33 Relativity 34 Particles And Waves 35 Quantum Mechanics 36 Atomic Physics 37 Molecules And Solids 38 Nuclear Physics 39 From Quarks To The Cosmos expand_more
21.1 Electric Field Lines 21.2 Electric Field And Electric Flux 21.3 Gauss's Law 21.4 Using Gauss's Law 21.5 Fields Of Arbitrary Charge Distributions 21.6 Gauss's Law And Conductors Chapter Questions expand_more
Problem 1FTD: Can electric field lines ever cross? Why or why not Problem 2FTD: The electric flux through a closed surface is zero. Must the electric field he zero on that surface?... Problem 3FTD: If the flux of the gravitational field through a closed surface is zero, what can you conclude about... Problem 4FTD: Under what conditions can the electric flux through a surface be written as EA. where A is the... Problem 5FTD: Right field lines emerge from a closed surface surrounding an isolated point charge. Would the... Problem 6FTD: If a charged particle were released from rest on a curved field line, would its subsequent motion... Problem 7FTD: In Gausss law, EdA=q0does the field E necessarily arise only from charges within the closed surface? Problem 8FTD: In a certain region the electric field points to the right and its magnitude increases as you move... Problem 9FTD: A point charge is located a fixed distance outside of a uniformly charged sphere. If the sphere... Problem 10FTD: The field of an infinite charged line decreases as 1/r. Why isnt this a violation of the... Problem 11FTD: Why cant you use Gausss law to determine the field of a uniformly charged cube? Why couldnt you use... Problem 12FTD: Youre sitting inside an uncharged, hollow spherical shell. Suddenly someone dumps a billion coulombs... Problem 13FTD: Does Gausss law apply to a spherical Gaussian surface not centered on a point charge, as shown in... Problem 14FTD: An insulating sphere carries charge spread uniformly through-out its volume. A conducting sphere has... Problem 15FTD: Why must the electric field be zero inside a conductor in electro-static equilibrium? Problem 16FTD: The electric field of a flat sheet of charge is /20. Yet the field of a flat conducting sheeteven a... Problem 17E: In Fig. 21.32, the magnitude of the middle charge is 3 C. Whats the net charge shown? FIGURE 21.32... Problem 18E: Charges +2q and q are near each other. Sketch some field lines for this charge distribution, using... Problem 19E: The net charge shown in Fig. 21.33 is +Q. Identify each of the charges A, B, and C shown. FIGURE... Problem 20E: A flat surface with area 2.0 m2 is in a uniform 850-N/C electric field. Find the electric flux... Problem 21E: Whats the electric field strength in a region where the flux through a 1.0 cm 1.0 cm flat surface... Problem 22E: A flat surface with area 0.14 m2 lies in the x-y plane, in a uniform electric field E = 5.1 + 2.1 +... Problem 23E: The electric field on the surface of a 10-cm-diameter sphere is perpendicular to the sphere and has... Problem 24E: In the figure with GOT IT? 21.2, take E = 1.75 kN/C and s = 125 cm. Find the flux through faces B... Problem 25E: In Fig. 21.8, take the half-cylinders radius and length to be 3.4 cm and 15 cm, respectively. If the... Problem 26E: A sock comes out of the dryer with a trillion (1012) excess electrons. What's the electric flux... Problem 27E: Whats the electric flux through the closed surfaces marked (a), (b), (c)., and (d) in Fig. 21.34?... Problem 28E: Interpret This problem involves applying Gauss's law to find the electric flux through a sphere that... Problem 29E: A 2.6-C charge is at the center of a cube 7.5 cm on each side. Whats the electric flux through one... Problem 30E: The electric field at the surface of a 5.0-cm-radius uniformly charged sphere is 90 kN/C. Whats the... Problem 31E: A solid sphere 25 cm in radius carries 14C, distributed uniformly throughout its volume. Find the... Problem 32E: A 15-nC point charge is at the center of a thin spherical shell of radius 10 cm. carrying 22 nC of... Problem 33E: The electric field strength outside a charge distribution and 18 cm from its center has magnitude 55... Problem 34E: An electron close to a large, Hat sheet of charge is repelled from the sheet with a 1.8-pN force.... Problem 35E: Find the field produced by a uniformly charged sheet carrying 87 pC/m2. Problem 36E: What surface charge density on an infinite sheet will produce a 1.4-kN/C electric field? Problem 37E: A rod 50 cm long and 1.0 cm in radius carries a 2.0-C charge distributed uniformly over its length.... Problem 38E: Whats the approximate field strength 1 cm above a sheet of paper carrying uniform surface charge... Problem 39E: The disk in Fig. 21.22 has area 0.14 m2 and is uniformly charged to 5.0 C. Find the approximate... Problem 40E: What is the electric field strength just outside the surface of a conducting sphere carrying surface... Problem 41E: A net charge of 5.0 C is applied on one side of a solid metal sphere 2.0 cm in diameter. Once... Problem 42E: A positive point charge q lies at the center of a spherical conducting shell carrying net charge... Problem 43E: A total charge of 18 C is applied to a thin, square metal plate 75 cm on a side. Find the electric... Problem 44P: Whats the flux through the hemispherical open surface of radius R in a uniform field of magnitude E... Problem 45P: An electric field is given byE=E0(y/a)k, where E0 and a are constants. Find the flux through the... Problem 46P: The electric field in a certain region is given by E= ax where a = 40N/Cm and x is in meters. Find... Problem 47P: A study shows that mammalian red blood cells (RBCs) carry electric charge resulting from 4.4 million... Problem 48P: Positive charge is spread uniformly over the surface of a spherical balloon 70 cm in radius,... Problem 49P: A solid sphere 2.0 cm in radius carries a uniform volume charge density. The electric field 1.0 cm... Problem 50P: A point charge of 2Q is at the center of a spherical shell of radius R carrying charge Q spread... Problem 51P: A friend is working on a biology experiment and needs to create an electric field of magnitude 430... Problem 52P: A spherical shell of radius 15 cm carries 4.8 C distributed uniformly over its surface. At the... Problem 53P: A spherical shell 30 cm in diameter carries 85 C distributed uniformly over its surface. A 1.0-pC... Problem 54P: A thick, spherical shell of inner radius a and outer radius b carries a uniform volume charge... Problem 55P: A long, thin wire carrying 5.6 nC/m runs down the center of a long, thin-walled, pipe with radius... Problem 56P: An infinitely long rod of radius R carries a uniform volume charge density . Show that the electric... Problem 57P: A long, solid rod 4.5 cm in radius carries a uniform volume charge density. If the electric field... Problem 58P: If you painted positive charge on the floor, what surface charge density would be necessary to... Problem 59P: A charged slab extends infinitely in two dimensions and has thickness d in the third dimension, as... Problem 60P: A solid sphere 10 cm in radius carries a 40-C charge distributed uniformly throughout its volume.... Problem 61P: A nonconducting square plate 75 cm on a side carries a uniform surface charge density. The electric... Problem 62P: A 250-nC point charge is placed at the center of an uncharged spherical conducting shell 20 cm in... Problem 63P: An irregular conductor containing an irregular, empty cavity carries a net charge Q. (a) Show that... Problem 64P: You measure the electric field strength at points directly above the center of a square plate... Problem 65P: A point charge q is at the center of a spherical shell carrying charge +2q. That shell, in turn, is... Problem 66P: A point charge q is at the center of a spherical shell of radius R carrying charge 2q spread... Problem 67P: The volume charge density inside a solid sphere of radius a is = 0r/a where 0 is a constant. Find... Problem 68P: Figure 21.37 shows a rectangular box with sides 2a and length L surrounding a line carrying uniform... Problem 69P: The charge density within a charged sphere of radius R is given by = 0 ar2 where 0and a are... Problem 70P: Calculate the electric fields in Example 21.2 directly, using the superposition principle and... Problem 71P: A solid sphere of radius R carries a nonuniform volume charge density = 0er/R where 0 is a constant... Problem 72P: Problem 76 of Chapter 13 explored what happened to a person falling into a hole extending all the... Problem 73P: An infinitely long solid cylinder of radius R carries a nonuniform charge density given by =... Problem 74P: A solid sphere of radius R carries a uniform volume charge density . A hole of radius R/2 occupies a... Problem 75P: Repeal Problem 59 for the case where the charge density in the slab is given by = 0|x/d|, where 0... Problem 76PP: Coaxial cables are widely used with audio-visual technology, electronic instrumentation, and radio... Problem 77PP: A coaxial cable carries equal but opposite charges on its two conductors. In electrostatic... Problem 78PP: How does the electric field between the conductors in a coaxial cable in electrostatic equilibrium... Problem 79PP: Coaxial cables are widely used with audio-visual technology, electronic instrumentation, and radio... format_list_bulleted