1 Getting Started 2 One Dimensional Motion 3 Vectors 4 Two-and-three Dimensional Motion 5 Newton's Laws Of Motion 6 Applications Of Newton’s Laws Of Motion 7 Gravity 8 Conservation Of Energy 9 Energy In Nonisolated Systems 10 Systems Of Particles And Conservation Of Momentum 11 Collisions 12 Rotation I: Kinematics And Dynamics 13 Rotation Ii: A Conservation Approach 14 Static Equilibrium, Elasticity, And Fracture 15 Fluids 16 Oscillations 17 Traveling Waves 18 Superposition And Standing Waves 19 Temperature, Thermal Expansion And Gas Laws 20 Kinetic Theory Of Gases 21 Heat And The First Law Of Thermodynamics 22 Entropy And The Second Law Of Thermodynamics 23 Electric Forces 24 Electric Fields 25 Gauss’s Law 26 Electric Potential 27 Capacitors And Batteries 28 Current And Resistance 29 Direct Current (dc) Circuits 30 Magnetic Fields And Forces 31 Gauss’s Law For Magnetism And Ampère’s Law 32 Faraday’s Law Of Induction 33 Inductors And Ac Circuits 34 Maxwell’s Equations And Electromagnetic Waves 35 Diffraction And Interference 36 Applications Of The Wave Model 37 Reflection And Images Formed By Reflection 38 Refraction And Images Formed By Refraction 39 Relativity Chapter25: Gauss’s Law
25.1 Qualitative Look At Gauss’s Law 25.2 Flux 25.3 Gauss’s Law 25.4 Special Case: Linear Symmetry 25.5 Special Case: Spherical Symmetry 25.6 Special Case: Planar Symmetry 25.7 Special Case: Conductors Chapter Questions Section: Chapter Questions
Problem 1PQ: Which word or name has the same symmetry as the letters in the name ZAK? (Explain your answer.) a.... Problem 2PQ Problem 3PQ Problem 4PQ Problem 5PQ Problem 6PQ Problem 7PQ: A positively charged sphere and a negatively charged sphere are in a sealed container. The only way... Problem 8PQ: A circular hoop of radius 0.50 m is immersed in a uniform electric field of 12.0 N/C. The electric... Problem 9PQ Problem 10PQ: If the hemisphere (surface C) in Figure 25.10 (page 760) is tilted so that its disk-shaped cross... Problem 11PQ: A Ping-Pong paddle with surface area 3.80 102 m2 is placed in a uniform electric field of magnitude... Problem 12PQ Problem 13PQ: A pyramid has a square base with an area of 4.00 m2 and a height of 3.5 m. Its walls are four... Problem 14PQ Problem 15PQ Problem 16PQ: A circular loop with radius r is rotating with constant angular velocity in a uniform electric... Problem 17PQ: A circular loop with radius r is rotating with constant angular velocity in a uniform electric... Problem 18PQ Problem 19PQ: What is the net electric flux through each of the four surfaces shown in Figure P25.19? Problem 20PQ Problem 21PQ: The colored regions in Figure P25.21 represent four three-dimensional Gaussian surfaces A through D.... Problem 22PQ Problem 23PQ Problem 24PQ: Three particles and three Gaussian surfaces are shown in Figure P25.24. All the surfaces are... Problem 25PQ: A Using Gausss law, find the electric flux through each of the closed Gaussian surfaces A, B, C, and... Problem 26PQ: Three point charges q1 = 2.0 nC, q2 = 4.0 nC, and q3 = 3.0 nC are placed as shown in Figure P25.26.... Problem 27PQ Problem 28PQ: A very long, thin wire fixed along the x axis has a linear charge density of 3.2 C/m. a. Determine... Problem 29PQ: Figure P25.29 shows a wry long tube of inner radius a and outer radius b that has uniform volume... Problem 30PQ: Two very long, thin, charged rods lie in the same plane (Fig. P25.30). One rod is positively charged... Problem 31PQ Problem 32PQ: Two long, thin rods each have linear charge density = 6.0 C/m and lie parallel to each other,... Problem 33PQ: Figure P25.33 shows a very long, thick rod with radius R, uniformly charged throughout. Find an... Problem 34PQ: A very long line of charge with a linear charge density, , is parallel to another very long line of... Problem 35PQ: Two infinitely long, parallel lines of charge with linear charge densities 3.2 C/m and 3.2 C/m are... Problem 36PQ: An infinitely long wire with uniform linear charge density = 2.80 C/m is surrounded by an... Problem 37PQ Problem 38PQ Problem 39PQ Problem 40PQ Problem 41PQ: Two uniform spherical charge distributions (Fig. P25.41) each have a total charge of 45.3 mC and... Problem 42PQ: FIGURE P25.41 Problems 41 and 42. Two uniform spherical charge distributions (Fig. P25.41) each have... Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),... Problem 44PQ Problem 45PQ: What is the magnitude of the electric field just above the middle of a large, flat, horizontal sheet... Problem 46PQ Problem 47PQ: The infinite sheets in Figure P25.47 are both positively charged. The sheet on the left has a... Problem 48PQ Problem 49PQ Problem 50PQ Problem 51PQ: A very large, flat slab has uniform volume charge density and thickness 2t. A side view of the... Problem 52PQ: FIGURE P25.41 Problems 51 and 52. Find the surface charge density of a sheet of charge that would... Problem 53PQ Problem 54PQ Problem 55PQ: If the magnitude of the surface charge density of the plates in Figure P25.55 is = 99.5 nC/m2, what... Problem 56PQ: A spherical conducting shell with a radius of 0.200 m has a very small charged sphere suspended in... Problem 57PQ: A charged rod is placed in the center along the axis of a neutral metal cylinder (Fig. F25.57). The... Problem 58PQ: A charged rod is placed in the center along the axis of a neutral metal cylinder (Fig. P25.57). The... Problem 59PQ: A thick spherical conducting shell with an inner radius of 0.200 m and an outer radius of 0.250 m... Problem 60PQ: A thick spherical conducting shell with an inner radius of 0.200 m and an outer radius of 0.250 m... Problem 61PQ: A rectangular plate with sides 0.60 m and 0.40 m long is lying in the xy plane. The plate is placed... Problem 62PQ Problem 63PQ Problem 64PQ: A uniform spherical charge distribution has a total charge of 45.3 mC and a radius of 15.2 cm. It is... Problem 65PQ: A rectangular surface extends from x = 0 to x = 50.0 cm and from y = 0 to y = 24.0 cm in the xy... Problem 66PQ: A uniform electric field E = 1.57 104 N/C passes through a closed surface with a slanted top as... Problem 67PQ: A solid plastic sphere of radius R1 = 8.00 cm is concentric with an aluminum spherical shell with... Problem 68PQ: Examine the summary on page 780. Why are conductors and charged sources with linear symmetry,... Problem 69PQ Problem 70PQ Problem 71PQ Problem 72PQ: A coaxial cable is formed by a long, straight wire and a hollow conducting cylinder with axes that... Problem 73PQ Problem 74PQ Problem 75PQ: A solid sphere of radius R has a spherically symmetrical, nonuniform volume charge density given by... Problem 76PQ: A solid sphere of radius R has a spherically symmetrical, nonuniform volume charge density given by... Problem 77PQ: A very large, horizontal conducting square plate with sides of length 2.0 m and thickness 3.0 mm is... Problem 78PQ Problem 79PQ: A particle with charge q = 7.20 C is surrounded by a spherical shell of radius R = 1.50 m. What is... Problem 80PQ: A sphere with radius R has a charge density given by = cr3. Use Gausss law to find an expression... Problem 45PQ: What is the magnitude of the electric field just above the middle of a large, flat, horizontal sheet...
Related questions
Transcribed Image Text: The electric field is E = âx + √³ây +
âz and x = 4 on the side containing the
point of origin from the source-free
regions separated by the plane of the
unit vector ân = (ây + 2â₂). Find Ezt
for this region by knowing the other
side is free-space.
Interaction between an electric field and a magnetic field.
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