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
22.1 Electric Potential Difference 22.2 Calculating Potential Difference 22.3 Potential Difference And The Electric Field 22.4 Charged Conductors Chapter Questions expand_more
Problem 1FTD: Why can a bird perch on a high-voltage power line without getting electrocuted? Problem 2FTD: One proton is accelerated from rest by a uniform electric field, another proton by a nonuniform... Problem 3FTD: Would a free electron move toward higher or lower potential? Problem 4FTD: The electric Field at the center of a uniformly charged ring is obviously zero, yet Example 22.6... Problem 5FTD: Must the electric field he zero at any point where the potential is zero? Explain. Problem 6FTD: Cherry picker trucks for working on power lines often carry electrocution hazard signs. Explain how... Problem 7FTD: Is the potential at the center of a hollow, uniformly charged spherical shell higher than, lower... Problem 8FTD: A solid sphere contains positive charge uniformly distributed throughout its volume. Is the... Problem 9FTD: Two equal hut opposite charges form a dipole. Describe the equipotential surface on which V = 0. Problem 10FTD: The electric potential in a region increases linearly with distance. What can you conclude about the... Problem 11E: How much work does it take to move a 50-C charge against a 12-V potential difference? Problem 12E: The potential difference between the two sides of an ordinary electric outlet is 120 V. How much... Problem 13E: It takes 45 J to move a 15-mC charge from point A to point B. Whats the potential difference VAB? Problem 14E: Show that 1 V/m is the same as 1 N/C. Problem 15E: Find the magnitude of the potential difference between two points located 1.4 m apart in a uniform... Problem 16E: A charge of 3.1 C moves from the positive to the negative terminal of a 9.0-V battery. How much... Problem 17E: A proton, an alpha particle (a bare helium nucleus), and a singly ionized helium atom are... Problem 18E: The potential difference across a typical cell membrane is about 80 mV. How much work is done on a... Problem 19E: An electric field is given by E= E0, where E0 is a constant. Find the potential as a function of... Problem 20E: The classical picture of the hydrogen atom has the electron or-biting 0.0529 nm from the proton.... Problem 21E: The potential at the surface of a 10-cm-radius sphere is 4.8 kV. Whats the spheres total charge,... Problem 22E: Youre developing a switch for high-voltage power lines. The smallest part in your design is a... Problem 23E: A 3.5-cm-diameter isolated metal sphere carries 0.86 C. (a) Find the potential at the sphere's... Problem 24E: In a uniform electric field, equipotential planes that differ by 5.00V are 2.54 cm apart. What's the... Problem 25E: Figure 22.22 shows a plot of potential versus position along the x-axis. Make a plot of the... Problem 26E: figure 22.23 shows some equipotentials in the x-y planer, (a) In what region is the electric field... Problem 27E: The electric potential in a region is given by V = 2xy 3zx + 5y2, with V in volts and the... Problem 28E: Dielectric breakdown of air occurs at fields of 3 MV/m. Find (a) the maximum potential (measured... Problem 29E: Youre an automotive engineer working on the ignition system for a new engine. Its spark plugs have... Problem 30E: A large metal sphere has three times the diameter of a smaller sphere and carries three times the... Problem 31E: Example 22.4: A power distribution line in a city neighborhood 1.27 cm in diameter and carries line... Problem 32E: Example 22.4: Consider a 2.54-cm-diameter power line for which the potential difference from the... Problem 33E: Example 22.4: Problem 43 of Chapter 20 considers a thin, uniformly charged rod of length L and total... Problem 34E: Example22.4: You’ve got a thin charged rod as described in the preceding problem. You measure the... Problem 35E: Example 22.8: A disk of radius cm carries charge distributed uniformly over its surface. Find the... Problem 36E: The potential on the axis of a uniformly charged disk is 544 KV at a point 1.27 m from the disk... Problem 37E: Example 22.8: Use the result of Problem 61 to show that the magnitude of the electric field on the... Problem 38E: Example 22.8: An annulus like that shown in Fig. 22.25 has and . If the electric field at has... Problem 39P: Two points A and B lie 15 cm apart in a uniform electric field, with the path AB parallel to the... Problem 40P: The electric field within a cell membrane is approximately 8.0 MV/m and is essentially uniform. If... Problem 41P: Whats the potential difference between the terminals of a battery that can impart 7.21019 J to each... Problem 42P Problem 43P: Two Hat metal plates are a distance d apart, where d is small compared with the plate size. If the... Problem 44P: An electron passes point A moving at 6.5 Mm/s. At point B it comes to a stop. Find the potential... Problem 45P: A 5.0-g object carries 3.8 C. It acquires speed v when accelerated from rest through a potential... Problem 46P: Points A and B lie 32.0 cm apart on a line extending radially from a point charge Q, and the... Problem 47P: A sphere of radius R carries negative charge of magnitude Q, distributed in a spherically symmetric... Problem 48P: Proton-beam therapy can be preferable to X rays for cancer treatment (although much more expensive)... Problem 49P: A thin spherical shell of radius R carries positive charge Q spread uniformly over its surface. If... Problem 50P: A solid sphere of radius R carries charge Q distributed uniformly throughout its volume. Find the... Problem 51P: Find the potential as a function of position in the electric field E= ax where a is a constant and... Problem 52P: Your radio station needs a new coaxial cable to connect the transmitter and antenna. One possible... Problem 53P: The potential difference between the surface of a 3.0-cm-diameler power line and a point 1.0 m... Problem 54P: Three equal charges q form an equilateral triangle of side a. Find the potential, relative to... Problem 55P: A charge +Q lies at the origin and 3Q at x = a. Find two points on the x-axis where V = 0. Problem 56P: Two identical charges q lie on the x-axis at a. (a) Find an expression for the potential at all... Problem 57P: A dipole of moment p = 2.9 nC m consists of two charges separated by far less than 10 cm. Find the... Problem 58P: A thin plastic rod 20 cm long carries 3.2 nC distributed uniformly over its length, (a) If the rod... Problem 59P: A thin ring of radius R carries charge 3Q distributed uniformly over three-fourths of its... Problem 60P: The potential at the center of a uniformly charged ring is 45 kV, and 15 cm along the ring axis the... Problem 61P: The annulus shown in Fig. 22.25 carries a uniform surface charge density σ. Its axis coincides with... Problem 62P: The potential in a region is given by V = axy, where a is a constant. (a) Determine the electric... Problem 63P: Use Equation 22.6 to calculate the electric field on the perpendicular bisector of a dipole, and... Problem 64P: Use the result of Example 22.6 to determine the on-axis field of a charged ring, and verify that... Problem 65P: The electric potential in a region is given by V = V0(r/R), where V0 and R are constants and r is... Problem 66P: Two metal spheres each 1.0 cm in radius are far apart. One sphere carries 38 nC, the other 10 nC.... Problem 67P: Two 5.0-cm-diameter conducting spheres are 8.0 m apart, and each carries 0.12 C. Determine (a) the... Problem 68P: A 2.0-cm-radius metal sphere carries 75 nC and is surrounded by a concentric spherical conducting... Problem 69P: A sphere of radius R carries a nonuniform but spherically symmetric volume charge density that... Problem 70P Problem 71P: A conducting sphere 15.4 cm in diameter carries total charge 88.0 nC. It’s surrounded by a... Problem 72P: INTERPRET Ibis problem deals with the electric field of a charged disk. We want to show that the... Problem 73P: The potential on the axis of a uniformly charged disk at 5.0 cm from the disk center is 150 V; the... Problem 74P: A uranium nucleus (mass 238 u, charge 92e) decays, emitting an alpha particle (mass 4 u, charge 2e)... Problem 75P: The Taser, an ostensibly nonlethal weapon used by police to sub-due unruly suspects, shoots two... Problem 76P: Using the dipole potential at points far from a dipole (given by Equation 22.6 in Example 22.5),... Problem 77P: Measurements of the potential at points on the axis of a charged disk are given in the two tables... Problem 78P: Find an equation describing the V = 0 equipotential in the x-y plane for the situation of Conceptual... Problem 79P: A disk of radius a carries nonuniform surface charge density = 0(r/a), where 0 is a constant, (a)... Problem 80P: An open ended cylinder of radius a and length 2a carries charge q spread uniformly over its surface.... Problem 81P: A line charge extends along the x-axis from L/2 to L/2. Its line charge density is = 0(x/L)2, where... Problem 82P: Repeat Problem 79 for the charge distribution = 0(x/L). (Hint: What does this charge distribution... Problem 83P: Youre sizing a new electric transmission line, and you can save money with thinner wire. The... Problem 84PP: bio Standard electrocardiography measures lime-dependent potential differences between multiple... Problem 85PP: bio Standard electrocardiography measures lime-dependent potential differences between multiple... Problem 86PP: bio Standard electrocardiography measures lime-dependent potential differences between multiple... Problem 87PP: bio Standard electrocardiography measures lime-dependent potential differences between multiple... format_list_bulleted