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(II) The HCl molecule has a dipole moment of about 3.4 × 10−30 C·m. The two atoms are separated by about 1.0 × 10−10 m. (a) What is the net charge on each atom? (b) Is this equal to an integral multiple of e? If not, explain. (c) What maximum torque would this dipole experience in a 2.5 × 104 N/C electric field? (d) How much energy would be needed to rotate one molecule 45° from its equilibrium position of lowest potential energy?
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Chapter 21 Solutions
Physics for Scientists & Engineers, Volume 2 (Chapters 21-35)
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- Two solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB = 0 (b) EA EB 0 (c) EA = EB 0 (d) 0 EA EB (e) 0 = EA EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? Choose from the same possibilities as in part (i).arrow_forward(i) A metallic sphere A of radius 1.00 cm is several centimeters away from a metallic spherical shell B of radius 2.00 cm. Charge 450 nC is placed on A, with no charge on B or anywhere nearby. Next, the two objects are joined by a long, thin, metallic wire (as shown in Fig. 25.19), and finally the wire is removed. How is the charge shared between A and B? (a) 0 on A. 450 nC on B (b) 90.0 nC on A and 360 nC on B, with equal surface charge densities (c) 150 nC on A and 300 nC on B (d) 225 nC on A and 225 nC on B (e) 450 nC on A and 0 on B (ii) A metallic sphere A of radius 1 cm with charge 450 nC hangs on an insulating thread inside an uncharged thin metallic spherical shell B of radius 2 cm. Next, A is made temporarily to touch the inner surface of B. How is the charge then shared between them? Choose from the same possibilities. Arnold Arons, the only physics teacher yet to have his picture on the cover ol Time magazine, suggested the idea for this question.arrow_forwardA thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.arrow_forward
- The electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm is directed toward the ball's center and has magnitude 4.0102 N/C. How much charge is on the surface of the ball?arrow_forwardAn electric dipole with dipole moment 4 × 10-9 C m is aligned at 30° with the direction of a uniform electric field of magnitude 5 × 104 NC-1. Calculate the magnitude of the torque acting on the dipole.arrow_forwardThe water molecule's dipole moment is 6.17×10-30C⋅m. What would be the separation distance if the molecule consisted of charges ±e? (The effective charge is actually less because H and O atoms share the electrons.) Express answer with appropriate units.arrow_forward
- 3 1 00 H X). Shown in the figure are two arcs of charge centered at the origin. The inner arc has a radius of curvature of 0.2 meters and a linear charge density of -50 C/m. The outer arc has a radius of curvature of 0.6 meters and a linear charge density of 80 μC/m. With theta given as 30 degrees, calculate the work it would take to bring a 60 μC point charge from infinity to the origin. Enter your answer in units of joules rounding your final answer to two decimal places. If the work is negative, a negative value must be entered. OLDE OAarrow_forward) A neutral water molecule (H,O) in its vapor state has an electric dipole moment p of magnitude 6.2 × 10-30 C-m. 14. (a) How far apart are the molecule's centers of positive and negative charge? (b) If the molecule is placed in an electric field of 1.5 × 104 N/C, what maximum torque can the field exert on it? (Such a field can easily be set up in the laboratory.) (c) How much work must an external agent do to rotate this molecule by 180° in this field, starting from its fully aligned position, for which 0 = 0?arrow_forward(a) The electric field near the Earth’s surface has magnitude of about 150 N/C What is the acceleration experienced by an electron near the surface of the Earth? (b) What about a proton? (c) Calculate the ratio of each acceleration to g= 9.8 m/s 2arrow_forward
- A non-conducting solid sphere of radius R is uniformly charged. The magnitude of the electric field due to the sphere at a distance r from its centre: (a) increases as r increases for r < R (b) decreases as r increases for 0arrow_forwardCh 18, Problem 45 Two charges are located on the x axis: q1 = +6.1C at x1 = +5.1 cm, and q2 = +6.1C at x2 = -5.1 cm. Two other charges are located on the y axis: q3 = +2.3C at y3 = +4.4 cm, and q4 = -5.8C at y4 = +6.3 cm. Find (a) the magnitude and (b) the direction of the net electric field at the origin.arrow_forward(a) What is the dipole moment of the configuration shown above? If Q = 4.0 μC , (b) what is the torque on this dipole with an electric field of 4.0 x 10^5 N/C i? (c)What is the torque on this dipole with an electric field of −4.0 x 10^5 N/C i? (d) What is the torque on this dipole with an electric field of ±4.0 x 10^5 N/C j? a=4.0arrow_forwardarrow_back_iosarrow_forward_ios
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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