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
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 potential be zero at any point where the electric field is zero? Explain. Problem 6FTD: Must the electric field he zero at any point where the potential is zero? Explain. Problem 7FTD: The potential is constant throughout an entire volume. What must be true of the electric field... Problem 8FTD: In considering the potential of an infinite flat sheet, why isnt it useful to take the zero of... Problem 9FTD: Cherry picker trucks for working on power lines often carry electrocution hazard signs. Explain how... Problem 10FTD: Can equipotential surfaces intersect? Explain. Problem 11FTD: Is the potential at the center of a hollow, uniformly charged spherical shell higher than, lower... Problem 12FTD: A solid sphere contains positive charge uniformly distributed throughout its volume. Is the... Problem 13FTD: Two equal hut opposite charges form a dipole. Describe the equipotential surface on which V = 0. Problem 14FTD: The electric potential in a region increases linearly with distance. What can you conclude about the... Problem 15E: How much work does it take to move a 50-C charge against a 12-V potential difference? Problem 16E: The potential difference between the two sides of an ordinary electric outlet is 120 V. How much... Problem 17E: It takes 45 J to move a 15-mC charge from point A to point B. Whats the potential difference VAB? Problem 18E: Show that 1 V/m is the same as 1 N/C. Problem 19E: Find the magnitude of the potential difference between two points located 1.4 m apart in a uniform... Problem 20E: A charge of 3.1 C moves from the positive to the negative terminal of a 9.0-V battery. How much... Problem 21E: A proton, an alpha particle (a bare helium nucleus), and a singly ionized helium atom are... Problem 22E: The potential difference across a typical cell membrane is about 80 mV. How much work is done on a... Problem 23E: An electric field is given by E= E0, where E0 is a constant. Find the potential as a function of... Problem 24E: The classical picture of the hydrogen atom has the electron or-biting 0.0529 nm from the proton.... Problem 25E: The potential at the surface of a 10-cm-radius sphere is 4.8 kV. Whats the spheres total charge,... Problem 26E: Youre developing a switch for high-voltage power lines. The smallest part in your design is a... Problem 27E: A 3.5-cm-diameter isolated metal sphere carries 0.86 C. (a) Find the potential at the sphere's... Problem 28E: In a uniform electric field, equipotential planes that differ by 5.00V are 2.54 cm apart. What's the... Problem 29E: Figure 22.22 shows a plot of potential versus position along the x-axis. Make a plot of the... Problem 30E: figure 22.23 shows some equipotentials in the x-y planer, (a) In what region is the electric field... Problem 31E: The electric potential in a region is given by V = 2xy 3zx + 5y2, with V in volts and the... Problem 32E: Dielectric breakdown of air occurs at fields of 3 MV/m. Find (a) the maximum potential (measured... Problem 33E: Youre an automotive engineer working on the ignition system for a new engine. Its spark plugs have... Problem 34E: A large metal sphere has three times the diameter of a smaller sphere and carries three times the... Problem 35P: Two points A and B lie 15 cm apart in a uniform electric field, with the path AB parallel to the... Problem 36P: The electric field within a cell membrane is approximately 8.0 MV/m and is essentially uniform. If... Problem 37P: Whats the potential difference between the terminals of a battery that can impart 7.21019 J to each... Problem 38P: Whats the charge on an ion that gains 1.61015 J when it moves through a potential difference of 2500... Problem 39P: Two Hat metal plates are a distance d apart, where d is small compared with the plate size. If the... Problem 40P: An electron passes point A moving at 6.5 Mm/s. At point B it comes to a stop. Find the potential... Problem 41P: A 5.0-g object carries 3.8 C. It acquires speed v when accelerated from rest through a potential... Problem 42P: Points A and B lie 32.0 cm apart on a line extending radially from a point charge Q, and the... Problem 43P: A sphere of radius R carries negative charge of magnitude Q, distributed in a spherically symmetric... Problem 44P: Proton-beam therapy can be preferable to X rays for cancer treatment (although much more expensive)... Problem 45P: A thin spherical shell has radius R and total charge Q distributed uniformly over its surface. Find... Problem 46P: A solid sphere of radius R carries charge Q distributed uniformly throughout its volume. Find the... Problem 47P: Find the potential as a function of position in the electric field E= ax where a is a constant and... Problem 48P: Your radio station needs a new coaxial cable to connect the transmitter and antenna. One possible... Problem 49P: The potential difference between the surface of a 3.0-cm-diameler power line and a point 1.0 m... Problem 50P: Three equal charges q form an equilateral triangle of side a. Find the potential, relative to... Problem 51P: A charge +Q lies at the origin and 3Q at x = a. Find two points on the x-axis where V = 0. Problem 52P: Two identical charges q lie on the x-axis at a. (a) Find an expression for the potential at all... Problem 53P: A dipole of moment p = 2.9 nC m consists of two charges separated by far less than 10 cm. Find the... Problem 54P: A thin plastic rod 20 cm long carries 3.2 nC distributed uniformly over its length, (a) If the rod... Problem 55P: A thin ring of radius R carries charge 3Q distributed uniformly over three-fourths of its... Problem 56P: The potential at the center of a uniformly charged ring is 45 kV, and 15 cm along the ring axis the... Problem 57P: The annulus shown in Fig. 22.25 carries a uniform surface charge density . Find an expression for... Problem 58P: The potential in a region is given by V = axy, where a is a constant. (a) Determine the electric... Problem 59P: Use Equation 22.6 to calculate the electric field on the perpendicular bisector of a dipole, and... Problem 60P: Use the result of Example 22.6 to determine the on-axis field of a charged ring, and verify that... Problem 61P: The electric potential in a region is given by V = V0(r/R), where V0 and R are constants and r is... Problem 62P: Two metal spheres each 1.0 cm in radius are far apart. One sphere carries 38 nC, the other 10 nC.... Problem 63P: Two 5.0-cm-diameter conducting spheres are 8.0 m apart, and each carries 0.12 C. Determine (a) the... Problem 64P: A 2.0-cm-radius metal sphere carries 75 nC and is surrounded by a concentric spherical conducting... Problem 65P: A sphere of radius R carries a nonuniform but spherically symmetric volume charge density that... Problem 66P: The potential as a function of position in a region is given by V(x) = 3x 2x2 x3, with x in meters... Problem 67P: A conducting sphere 5.0 cm in radius carries 60 nC. Its surrounded by a concentric spherical... Problem 68P: INTERPRET Ibis problem deals with the electric field of a charged disk. We want to show that the... Problem 69P: The potential on the axis of a uniformly charged disk at 5.0 cm from the disk center is 150 V; the... Problem 70P: A uranium nucleus (mass 238 u, charge 92e) decays, emitting an alpha particle (mass 4 u, charge 2e)... Problem 71P: The Taser, an ostensibly nonlethal weapon used by police to sub-due unruly suspects, shoots two... Problem 72P: Using the dipole potential at points far from a dipole (given by Equation 22.6 in Example 22.5),... Problem 73P: Measurements of the potential at points on the axis of a charged disk are given in the two tables... Problem 74P: Find an equation describing the V = 0 equipotential in the x-y plane for the situation of Conceptual... Problem 75P: A thin rod of length L carries charge Q distributed uniformly over its length, (a) Show that the... Problem 76P: For the rod of the preceding problem, (a) find an expression for the magnitude of the electric field... Problem 77P: A disk of radius a carries nonuniform surface charge density = 0(r/a), where 0 is a constant, (a)... Problem 78P: An open ended cylinder of radius a and length 2a carries charge q spread uniformly over its surface.... Problem 79P: 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 80P: Repeat Problem 79 for the charge distribution = 0(x/L). (Hint: What does this charge distribution... Problem 81P: Youre sizing a new electric transmission line, and you can save money with thinner wire. The... Problem 82PP: bio Standard electrocardiography measures lime-dependent potential differences between multiple... Problem 83PP: bio Standard electrocardiography measures lime-dependent potential differences between multiple... Problem 84PP: bio Standard electrocardiography measures lime-dependent potential differences between multiple... Problem 85PP: bio Standard electrocardiography measures lime-dependent potential differences between multiple... format_list_bulleted