Problem 25.1QQ: In Figure 24.1, two points and are located within a region in which there is an electric field.... Problem 25.2QQ: The labeled points in Figure 24.4 are on a series of equipotential surfaces associated with an... Problem 25.3QQ: In Figure 24.8b, take q2, to be a negative source charge and q1 to be a second charge whose sign can... Problem 25.4QQ: In a certain region of space, the electric potential is zero everywhere along the x axis. (i) From... Problem 25.1OQ: In a certain region of space, the electric field is zero. From this fact, what can you conclude... Problem 25.2OQ: Consider the equipotential surfaces shown in Figure 25.4. In this region of space, what is the... Problem 25.3OQ: (i) A metallic sphere A of radius 1.00 cm is several centimeters away from a metallic spherical... Problem 25.4OQ: The electric potential at x = 3.00 m is 120 V, and the electric potential at x = 5.00 m is 190 V.... Problem 25.5OQ: Rank the potential energies of the lour systems of particles shown in Figure OQ25.5 from largest to... Problem 25.6OQ: In a certain region of space, a uniform electric field is in the x direction. A particle with... Problem 25.7OQ: Rank the electric potentials at the four points shown in Figure OQ25.7 from largest to smallest. Problem 25.8OQ: An electron in an x-ray machine is accelerated through a potential difference of 1.00 104 V before... Problem 25.9OQ: Rank the electric potential energies of the systems of charges shown in Figure OQ25.9 from largest... Problem 25.10OQ: Four particles are positioned on the rim of a circle. The charges on the particles are +0.500C,... Problem 25.11OQ: A proton is released from rest at the origin in a uniform electric field in the positive x direction... Problem 25.12OQ: A particle with charge -40.0 nC is on the x axis at the point with coordinate x = 0. A second... Problem 25.13OQ: A filament running along the x axis from the origin to x = 80.0 cm carries electric charge with... Problem 25.14OQ: In different experimental trials, an electron, a proton, or a doubly charged oxygen atom (O--), is... Problem 25.15OQ: A helium nucleus (charge = 2e. mass = 6.63 10_27kg) traveling at 6.20 101 in/s enters an electric... Problem 25.1CQ: What determines the maximum electric potential to which the dome of a Van de Graaff generator can be... Problem 25.2CQ: Describe the motion of a proton (a) after it is released from rest in a uniform electric field.... Problem 25.3CQ: When charged particles are separated by an infinite distance, the electric potential energy of the... Problem 25.4CQ: Study Figure 23.3 and the accompanying text discussion of charging by induction. When the grounding... Problem 25.5CQ: Distinguish between electric potential and electric potential energy. Problem 25.6CQ: Describe the equipotential surfaces for (a) an infinite line of charge and (b) a uniformly charged... Problem 25.1P: Oppositely charged parallel plates are separated by 5.33 mm. A potential difference of 600 V exists... Problem 25.2P: A uniform electric field of magnitude 250 V/m is directed in the positive x direction. A +12.0-C... Problem 25.3P: (a) Calculate the speed of a proton that is accelerated from rest through an electric potential... Problem 25.4P: How much work is done (by a battery, generator, or some other source of potential difference) in... Problem 25.5P: A uniform electric field of magnitude 325 V/m is directed in the negative y direction in Figure... Problem 25.6P: Starting with the definition of work, prove that at every point on an equipotential surface, the... Problem 25.7P: An electron moving parallel to the x axis has an initial speed of 3.70 10b m/s at the origin. Its... Problem 25.8P: (a) Find the electric potential difference Ve required to stop an electron (called a stopping... Problem 25.9P: A particle having charge q = +2.00 C and mass m = 0.010 0 kg is connected to a string that is L =... Problem 25.10P: Review. A block having mass m and charge + Q is connected to an insulating spring having a force... Problem 25.11P: An insulating rod having linear charge density = 40.0 C/m and linear mass density = 0.100 kg/m is... Problem 25.12P: (a) Calculate the electric potential 0.250 cm from ail electron, (b) What is the electric potential... Problem 25.13P: Two point charges are on the y axis. A 4.50-C charge is located at y = 1.25 cm, and a -2.24-C charge... Problem 25.14P: The two charges in Figure P25.14 are separated by d = 2.00 cm. Find the electric potential at (a)... Problem 25.15P: Three positive charges are located at the corners of an equilateral triangle as in Figure P24.7.... Problem 25.16P: Two point charges Q1 = +5.00 nC and Q2 = 3.00 nC are separated by 35.0 cm. (a) What is the electric... Problem 25.17P: Two particles, with charges of 20.0 11C and -20.0 nC, are placed at the points with coordinates (0,... Problem 25.18P: The two charges in Figure P24.12 are separated by a distance d = 2.00 cm, and Q = +5.00 nC. Find (a)... Problem 25.19P: Given two particles with 2.00-C charges as shown in Figure P25.19 and a particle with charge q =... Problem 25.20P: At a certain distance from a charged particle, the magnitude of the electric field is 500 V/m and... Problem 25.21P: Four point charges each having charge Q are located at the corners of a square having sides of... Problem 25.22P: The three charged particles in Figure P25.22 are at the vertices of an isosceles triangle (where d =... Problem 25.23P: A particle with charge +q is at the origin. A particle with charge 2q is at x = 2.00 m on the x... Problem 25.24P: Show that the amount of work required to assemble four identical charged particles of magnitude Q at... Problem 25.25P: Two particles each with charge +2.00 C are located on the x axis. One is at x = 1.00 m, and the... Problem 25.26P: Two charged particles of equal magnitude are located along the y axis equal distances above and... Problem 25.27P: Four identical charged particles (q = +10.0 C) are located on the corners of a rectangle as shown in... Problem 25.28P: Three particles with equal positive charges q are at the corners of an equilateral triangle of side... Problem 25.29P: Five particles with equal negative charges q are placed symmetrically around a circle of radius R.... Problem 25.30P: Review. A light, unstressed spring has length d. Two identical particles, each with charge q, are... Problem 25.31P: Review. Two insulating spheres have radii 0.300 cm and 0.500 cm, masses 0.100 kg and 0.700 kg, and... Problem 25.32P: Review. Two insulating spheres have radii r1 and r2, masses m1 and m2, and uniformly distributed... Problem 25.33P: How much work is required to assemble eight identical charged particles, each of magnitude q, at the... Problem 25.34P: Four identical particles, each having charge q and mass m, are released from rest at the vertices of... Problem 25.35P: In 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which... Problem 25.36P: Figure P24.22 represents a graph of the electric potential in a region of space versus position x,... Problem 25.37P: The potential in a region between x = 0 and x = 6.00 m V = a + bx, where a = 10.0 V and b = -7.00... Problem 25.38P: An electric field in a region of space is parallel to the x axis. The electric potential varies with... Problem 25.39P: Over a certain region of space, the electric potential is V = 5x 3x2y + 2yz2. (a) Find the... Problem 25.40P: Figure P24.23 shows several equipotential lines, each labeled by its potential in volts. The... Problem 25.41P: The electric potential inside a charged spherical conductor of radius R is given by V = keQ/R, and... Problem 25.42P: It is shown in Example 24.7 that the potential at a point P a distance a above one end of a... Problem 25.43P: Consider a ring of radius R with the total charge Q spread uniformly over its perimeter. What is the... Problem 25.44P: A uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle as shown... Problem 25.45P: A rod of length L (Fig. P24.25) lies along the x axis with its left end at the origin. It has a... Problem 25.46P: For the arrangement described in Problem 25, calculate the electric potential at point B, which lies... Problem 25.47P: A wire having a uniform linear charge density is bent into the shape shown in Figure P24.27. Find... Problem 25.48P: The electric field magnitude on the surface of an irregularly shaped conductor varies from 56.0 kN/C... Problem 25.49P: How many electrons should be removed from an initially uncharged spherical conductor of radius 0.300... Problem 25.50P: A spherical conductor has a radius of 14.0 cm and a charge of 26.0 C. Calculate the electric field... Problem 25.51P: Electric charge can accumulate on an airplane in flight. You may have observed needle-shaped metal... Problem 25.52P: Lightning can be studied with a Van de Graaff generator, which consists of a spherical dome on which... Problem 25.53AP: Why is the following situation impossible? In the Bohr model of the hydrogen atom, an electron moves... Problem 25.54AP: Review. In fair weather, the electric field in the air at a particular location immediately above... Problem 25.55AP: Review. From a large distance away, a particle of mass 2.00 g and charge 15.0 C is fired at 21.0 m/s... Problem 25.56AP: Review. From a large distance away, a particle of mass m1, and positive charge q1 is fired at speed ... Problem 25.57AP: The liquid-drop model of the atomic nucleus suggests high-energy oscillations of certain nuclei can... Problem 25.58AP: On a dry winter day, you scuff your leather-soled shoes across a carpet and get a shock when you... Problem 25.59AP: The electric potential immediately outside a charged conducting sphere is 200 V, and 10.0 cm farther... Problem 25.60AP: (a) Use the exact result from Example 24.4 to find the electric potential created by the dipole... Problem 25.61AP: Calculate the work that must be done on charges brought from infinity to charge a spherical shell of... Problem 25.62AP: Calculate the work that must be done on charges brought from infinity to charge a spherical shell of... Problem 25.63AP: The electric potential everywhere on the xy plane is V=36(x+1)2+y245x2+(y2)2 where V is in volts and... Problem 25.64AP: Why is the following situation impossible? You set up an apparatus in your laboratory as follows.... Problem 25.65AP: From Gauss's law, the electric field set up by a uniform line of charge is E=(20r)r where r is a... Problem 25.66AP: A uniformly charged filament lies along the x axis between x = a = 1.00 m and x = a + = 3.00 m as... Problem 25.67AP: The thin, uniformly charged rod shown in Figure P24.41 has a linear charge density . Find an... Problem 25.68AP: A GeigerMueller tube is a radiation detector that consists of a closed, hollow, metal cylinder (the... Problem 25.69AP: Review. Two parallel plates having charges of equal magnitude but opposite sign are separated by... Problem 25.70AP: When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system... Problem 25.71CP: An electric dipole is located along the y axis as shown in Figure P24.48. The magnitude of its... Problem 25.72CP: A solid sphere of radius R has a uniform charge density and total charge Q. Derive an expression... Problem 25.73CP: A disk of radius R (Fig. P24.49) has a nonuniform surface charge density = Cr, where C is a... Problem 25.74CP: Four balls, each with mass m, are connected by four nonconducting strings to form a square with side... Problem 25.75CP: (a) A uniformly charged cylindrical shell with no end caps has total charge Q, radius R, and length... Problem 25.76CP: As shown in Figure P25.76, two large, parallel, vertical conducting plates separated by distance d... Problem 25.77CP: A particle with charge q is located at x = R, and a particle with charge 2q is located at the... format_list_bulleted