Problem Q23.1DQ: A student asked. Since electrical potential is always proportional to potential energy, why bother... Problem Q23.2DQ: The potential (relative to a point at infinity) midway between two charges of equal magnitude and... Problem Q23.3DQ: Is it possible to have an arrangement of two point charges separated by a finite distance such that... Problem Q23.4DQ: Since potential can have any value you want depending on the choice of the reference level of zero... Problem Q23.5DQ: If E is zero everywhere along a certain path that leads from point A to point B, what is the... Problem Q23.6DQ: If E is zero throughout a certain region of space, is the potential necessarily also zero in this... Problem Q23.7DQ: Which way do electric field lines point, from high to low potential or from low to high? Explain. Problem Q23.8DQ: (a) If the potential (relative to infinity) is zero at a point, is the electric field necessarily... Problem Q23.9DQ: If you carry out the integral of the electric field Edl for a closed path like that shown in Fig.... Problem Q23.10DQ: The potential difference between the two terminals of an AA battery (used in flashlights and... Problem Q23.11DQ: It is easy to produce a potential difference of several thousand volts between your body and the... Problem Q23.12DQ: If the electric potential at a single point is known, can E at that point be determined? If so, how?... Problem Q23.13DQ: Because electric field lines and equipotential surfaces are always perpendicular, two equipotential... Problem Q23.14DQ: A uniform electric field is directed due east. Point B is 2.00 m west of point A, point C is 2.00 m... Problem Q23.15DQ: We often say that if point A is at a higher potential than point B. A is at positive potential and B... Problem Q23.16DQ: A conducting sphere is to be charged by bringing in positive charge a little at a time until the... Problem Q23.17DQ: In electronics it is customary to define the potential of ground (thinking of the earth as a large... Problem Q23.18DQ: A conducting sphere is placed between two charged parallel plates such as those shown in Fig. 23.2.... Problem Q23.19DQ: A conductor that carries a net charge Q has a hollow, empty cavity in its interior. Does the... Problem Q23.20DQ: A high-voltage dc power line falls on a car, so the entire metal body of the car is at a potential... Problem Q23.21DQ: When a thunderstorm is approaching, sailors at sea sometimes observe a phenomenon called St. Elmos... Problem Q23.22DQ: A positive point charge is placed near a very large conducting plane. A professor of physics... Problem 23.1E: A point charge q1 = +2.40 C is held stationary at the origin. A second point charge q2 = 4.30 C... Problem 23.2E: A point charge q1 is held stationary at the origin. A second charge q2 placed at point a, and the... Problem 23.3E: Energy of the Nucleus. How much work is needed to assemble an atomic nucleus containing three... Problem 23.4E: (a) How much work would it take to push two protons very slowly from a separation of 2.00 1010 m (a... Problem 23.5E: A small metal sphere, carrying a net charge of q1 = 2.80 C, is held in a stationary position by... Problem 23.6E: BIO Energy of DNA Base Pairing. (See Exercise 21.21.) (a) Calculate the electric potential energy of... Problem 23.7E: Two protons, starting several meters apart, are aimed directly at each other with speeds of 2.00 ... Problem 23.8E: Three equal 1.20-C point charges are placed at the corners of an equilateral triangle with sides... Problem 23.9E: Two protons are released from rest when they are 0.750 nm apart, (a) What is the maximum speed they... Problem 23.10E: Four electrons are located at the corners of a square 10.0 nm on a side, with an alpha particle at... Problem 23.11E: Three point charges, which initially are infinitely far apart, are placed at the corners of an... Problem 23.12E: An object with charge q = 6.00 109 C is placed in a region of uniform electric field and is... Problem 23.13E: A small particle has charge 5.00 C and mass 2.00 104 kg. It moves from point A, where the electric... Problem 23.14E: A particle with charge +4.20 nC is in a uniform electric field E directed to the left. The charge is... Problem 23.15E: A charge of 28.0 nC is placed in a uniform electric field that is directed vertically upward and has... Problem 23.16E: Two stationary point charges +3.00 nC and +2.00 nC are separated by a distance of 50.0 cm. An... Problem 23.17E: Point charges q1 = + 2.00 C and q2 = 2.00 C are placed at adjacent corners of a square for which the... Problem 23.18E: Two point charges of equal magnitude Q are held a distance d apart. Consider only points on the line... Problem 23.19E: Two point charges q1 = +2.40 nC and q2 = 6.50 nC are 0.100 m apart. Point A is midway between them;... Problem 23.20E: (a) An electron is to be accelerated from 3.00 106 m/s to 8.00 106 m/s. Through what potential... Problem 23.21E: A positive charge q is fixed at the point x = 0, y = 0, and a negative charge 2q is fixed at the... Problem 23.22E: At a certain distance from a point charge, the potential and electric-field magnitude due to that... Problem 23.23E: A uniform electric field has magnitude E and is directed in the negative x-direction. The potential... Problem 23.24E: For each of the following arrangements of two point charges, find all the points along the line... Problem 23.25E: A thin spherical shell with radius R1 = 3.00 cm is concentric with a larger thin spherical shell... Problem 23.26E: A total electric charge of 3.50 nC is distributed uniformly over the surface of a metal sphere with... Problem 23.27E: A uniformly charged, thin ring has radius 15.0 cm and total charge +24.0 nC. An electron is placed... Problem 23.28E: A solid conducting sphere has net positive charge and radius R = 0.400 m. At a point 1.20 m from the... Problem 23.29E: Charge Q = 5.00 C is distributed uniformly over the volume of an insulating sphere that has radius R... Problem 23.30E: An infinitely long line of charge has linear charge density 5.00 1012 C/m. A proton (mass 1.67 ... Problem 23.31E: A very long wire carries a uniform linear charge density . Using a voltmeter to measure potential... Problem 23.32E: A very long insulating cylinder of charge of radius 2.50 cm carries a uniform linear density of 15.0... Problem 23.33E: A very long insulating cylindrical shell of radius 6.00 cm carries charge of linear density 8.50 C/m... Problem 23.34E: A ring of diameter 8.00 cm is fixed in place and carries a charge of +5.00 C uniformly spread over... Problem 23.35E: A very small sphere with positive charge q = + 8.00 C is released from rest at a point 1.50 cm from... Problem 23.36E: CP Two large, parallel conducting plates carrying opposite charges of equal magnitude are separated... Problem 23.37E: Two large, parallel, metal plates carry opposite charges of equal magnitude. They are separated by... Problem 23.38E: BIO Electrical Sensitivity of Sharks. Certain sharks can detect an electric field as weak as 1.0... Problem 23.39E: The electric field at the surface of a charged, solid, copper sphere with radius 0.200 m is 3800... Problem 23.40E: (a) How much excess charge must be placed on a copper sphere 25.0 cm in diameter so that the... Problem 23.41E: CALC A metal sphere with radius ra is supported on an insulating stand at the center of a hollow,... Problem 23.42E: A very large plastic sheet carries a uniform charge density of 6.00 nC/m2 on one face, (a) As you... Problem 23.43E: CALC In a certain region of space, the electric potential is V(x, y, z) = Axy Bx2 + Cy, where A, B,... Problem 23.44E: CALC In a certain region of space the electric potential is given by V = +Ax2y Bxy2, where A = 5.00... Problem 23.45E: A metal sphere with radius ra = 1.20 cm is supported on an insulating stand at the center of a... Problem 23.46P: CP A point charge q1, = +5.00 C is held fixed in space. From a horizontal distance of 6.00 cm. a... Problem 23.47P: A point charge q1 = 4.00 nC is placed at the origin, and a second point charge q2 = 3.00 nC is... Problem 23.48P: A positive point charge q1 = +5.00 104 C is held at a fixed position. A small object with mass 4.00... Problem 23.49P: A gold nucleus has a radius of 7.3 1015 m and a charge of +79e. Through what voltage must an alpha... Problem 23.50P: A small sphere with mass 5.00 107 kg and charge +7.00 C is released from rest a distance of 0.400 m... Problem 23.51P: Determining the Size of the Nucleus. When radium-226 decays radioactively, it emits an alpha... Problem 23.52P: CP A proton and an alpha particle are released from rest when they are 0.225 nm apart. The alpha... Problem 23.53P: A particle with charge +7.60 nC is in a uniform electric field directed to the left. Another force,... Problem 23.54P: Identical charges q = +5.00 C are placed at opposite corners of a square that has sides of length... Problem 23.55P: CALC A vacuum tube diode consists of concentric cylindrical electrodes, the negative cathode and the... Problem 23.56P: Two oppositely charged, identical insulating spheres, each 50.0 cm in diameter and carrying a... Problem 23.57P: An Ionic Crystal. Figure P23.57 shows eight point charges arranged at the corners of a cube with... Problem 23.58P: (a) Calculate the potential energy of a system of two small spheres, one carrying a charge of 2.00 C... Problem 23.59P: CP A small sphere with mass 1.50 g hangs by a thread between two very large parallel vertical plates... Problem 23.60P: Two spherical shells have a common center. The inner shell has radius R1 = 5.00 cm and charge q1 =... Problem 23.61P: CALC Coaxial Cylinders. A long metal cylinder with radius, a is supported on an insulating stand on... Problem 23.62P: A Geiger counter detects radiation such as alpha particles by using the fact that the radiation... Problem 23.63P: CP Deflection in a CRT. Cathode-ray tubes (CRTs) were often found in oscilloscopes and computer... Problem 23.64P: CP Deflecting Plates of an Oscilloscope. The vertical deflecting plates of a typical classroom... Problem 23.65P: Electrostatic precipitators use electric forces to remove pollutant particles from smoke, in... Problem 23.66P: CALC A disk with radius R has uniform surface charge density . (a) By regarding the disk as a series... Problem 23.67P: CALC Self-Energy of a Sphere of Charge. A solid sphere of radius R contains a total charge Q... Problem 23.68P: CALC A thin insulating rod is bent into a semicircular arc of radius a, and a total electric charge... Problem 23.69P: Charge Q = +4.00 C is distributed uniformly over the volume of an insulating sphere that has radius... Problem 23.70P: An insulating spherical shell with inner radius 25.0 cm and outer radius 60.0 cm carries a charge of... Problem 23.71P: CP Two plastic spheres, each carrying charge uniformly distributed throughout its interior, are... Problem 23.72P: (a) If a spherical raindrop of radius 0.650 mm carries a charge of 3.60 pC uniformly distributed... Problem 23.73P: CALC Electric charge is distributed uniformly along a thin rod of length a, with total charge Q.... Problem 23.74P: An alpha particle with kinetic energy 9.50 MeV (when far away) collides head-on with a lead nucleus... Problem 23.75P: Two metal spheres of different sizes are charged such that the electric potential is the same at the... Problem 23.76P: A metal sphere with radius R1 has a charge Q1. Take the electric potential to be zero at an infinite... Problem 23.77P Problem 23.78P: CALC The electric potential V in a region of space is given by V(x,y,z)=A(x23y2+z2) where A is a... Problem 23.79P: DATA The electric potential in a region that is within 2.00 m of the origin of a rectangular... Problem 23.80P: DATA A small, stationary sphere carries a net charge Q. You perform the following experiment to... Problem 23.81P: DATA The Millikan Oil-Drop Experiment. The charge of an electron was first measured by the American... Problem 23.82CP: CALC A hollow, thin-walled insulating cylinder of radius R and length L (like the cardboard tube in... Problem 23.83CP: CP In experiments in which atomic nuclei collide, head-on collisions like that described in Problem... Problem 23.84PP: For a particular experiment, helium ions are to be given a kinetic energy of 3.0 MeV. What should... Problem 23.85PP: A helium ion (He++) that comes within about 10 fm of the center of the nucleus of an atom in the... Problem 23.86PP: The maximum voltage at the center of a typical tandem electrostatic accelerator is 6.0 MV. If the... format_list_bulleted