Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 19, Problem 20P
Consider the electric dipole shown in Figure P19.20. Show that the electric field at a distant point on the + x axis is Ex ≈ 4 keqa/x3.
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Chapter 19 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 19.2 - Three objects are brought close to one another,...Ch. 19.3 - Three objects are brought close to one another,...Ch. 19.4 - Object A has a charge of +2 C, and object B has a...Ch. 19.5 - A test charge of +3 C is at a point P where an...Ch. 19.6 - Rank the magnitudes of the electric field at...Ch. 19.9 - If the net flux through a gaussian surface is...Ch. 19.9 - Consider the charge distribution shown in Active...Ch. 19 - A point charge of 4.00 nC is located at (0, 1.00)...Ch. 19 - Charges of 3.00 nC, 2.00 nC, 7.00 nC, and 1.00 nC...Ch. 19 - An object with negative charge is placed in a...
Ch. 19 - A particle with charge q is located inside a...Ch. 19 - Prob. 5OQCh. 19 - Prob. 6OQCh. 19 - Rank the electric fluxes through each gaussian...Ch. 19 - A circular ring of charge with radius b has total...Ch. 19 - Two solid spheres, both of radius 5 cm, carry...Ch. 19 - An electron with a speed of 3.00 106 m/s moves...Ch. 19 - A very small ball has a mass of 5.00 103 kg and a...Ch. 19 - In which of the following contexts can Gausss law...Ch. 19 - Two point charges attract each other with an...Ch. 19 - Three charged particles are arranged on corners of...Ch. 19 - Assume the charged objects in Figure OQ19.15 are...Ch. 19 - A uniform electric field exists in a region of...Ch. 19 - Prob. 2CQCh. 19 - If more electric field lines leave a gaussian...Ch. 19 - Prob. 4CQCh. 19 - Prob. 5CQCh. 19 - Prob. 6CQCh. 19 - Prob. 7CQCh. 19 - A cubical surface surrounds a point charge q....Ch. 19 - Prob. 9CQCh. 19 - Prob. 10CQCh. 19 - Prob. 11CQCh. 19 - Prob. 12CQCh. 19 - Prob. 13CQCh. 19 - Prob. 14CQCh. 19 - A common demonstration involves charging a rubber...Ch. 19 - Prob. 1PCh. 19 - (a) Calculate the number of electrons in a small,...Ch. 19 - Nobel laureate Richard Feynman (19181088) once...Ch. 19 - Prob. 4PCh. 19 - Prob. 5PCh. 19 - Prob. 6PCh. 19 - Two small beads having positive charges q1 = 3q...Ch. 19 - Prob. 8PCh. 19 - Three charged particles are located at the corners...Ch. 19 - Particle A of charge 3.00 104 C is at the origin,...Ch. 19 - Prob. 11PCh. 19 - Prob. 12PCh. 19 - Review. A molecule of DNA (deoxyribonucleic acid)...Ch. 19 - Prob. 14PCh. 19 - Prob. 15PCh. 19 - Prob. 16PCh. 19 - In Figure P19.17, determine the point (other than...Ch. 19 - Prob. 18PCh. 19 - Three point charges are arranged as shown in...Ch. 19 - Consider the electric dipole shown in Figure...Ch. 19 - A uniformly charged insulating rod of length 14.0...Ch. 19 - Prob. 22PCh. 19 - A rod 14.0 cm long is uniformly charged and has a...Ch. 19 - Prob. 24PCh. 19 - Prob. 25PCh. 19 - Prob. 26PCh. 19 - Prob. 27PCh. 19 - Three equal positive charges q are at the comers...Ch. 19 - Prob. 29PCh. 19 - Prob. 30PCh. 19 - Prob. 31PCh. 19 - Prob. 32PCh. 19 - A proton accelerates from rest in a uniform...Ch. 19 - Prob. 34PCh. 19 - Prob. 35PCh. 19 - Prob. 36PCh. 19 - Prob. 37PCh. 19 - A particle with charge Q is located a small...Ch. 19 - Prob. 39PCh. 19 - Prob. 40PCh. 19 - A particle with charge Q = 5.00 C is located at...Ch. 19 - Prob. 42PCh. 19 - Prob. 43PCh. 19 - Prob. 44PCh. 19 - Prob. 45PCh. 19 - A nonconducting wall carries charge with a uniform...Ch. 19 - In nuclear fission, a nucleus of uranium-238,...Ch. 19 - Consider a long, cylindrical charge distribution...Ch. 19 - A 10.0-g piece of Styrofoam carries a net charge...Ch. 19 - An insulating solid sphere of radius a has a...Ch. 19 - A large, flat, horizontal sheet of charge has a...Ch. 19 - A cylindrical shell of radius 7.00 cm and length...Ch. 19 - Consider a thin, spherical shell of radius 14.0 cm...Ch. 19 - Prob. 54PCh. 19 - Prob. 55PCh. 19 - Prob. 56PCh. 19 - A solid conducting sphere of radius 2.00 cm has a...Ch. 19 - A very large, thin, flat plate of aluminum of area...Ch. 19 - A thin, square, conducting plate 50.0 cm on a side...Ch. 19 - A long, straight wire is surrounded by a hollow...Ch. 19 - A square plate of copper with 50.0-cm sides has no...Ch. 19 - Prob. 62PCh. 19 - Prob. 63PCh. 19 - Prob. 64PCh. 19 - Prob. 65PCh. 19 - Why is the following situation impossible? An...Ch. 19 - A small, 2.00-g plastic ball is suspended by a...Ch. 19 - Two point charges qA = 12.0 C and qB = 45.0 C and...Ch. 19 - Prob. 69PCh. 19 - Prob. 70PCh. 19 - Prob. 71PCh. 19 - Two small spheres of mass m are suspended from...Ch. 19 - Two infinite, nonconducting sheets of charge are...Ch. 19 - Consider the charge distribution shown in Figure...Ch. 19 - A solid, insulating sphere of radius a has a...Ch. 19 - Prob. 76PCh. 19 - Prob. 77PCh. 19 - Prob. 78P
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- (a) Find the total electric field at x = 1.00 cm in Figure 18.52(b) given that q =5.00 nC. (b) Find the total electric field at x = 11.00 cm in Figure 18.52(b). (c) If the charges are allowed to move and eventually be brought to rest by friction, what will the final charge configuration be? (That is, will there be a single charge, double charge; etc., and what will its value(s) he?)arrow_forward(a) Find the electric field at x = 5.00 cm in Figure 18.52 (a), given that q = 1.00 C. (b) at what position between 3.00 and 8.00 cm is the total electric field the same as that for ? 2q alone? (c) Can the electric field be zero anywhere between 0.00 and 8.00 cm? (d) At very large positive or negative values of x, the electric field approaches zero in both (a) and (b). In which does it most rapidly approach zero and why? (e) At what position to the light of 11.0 cm is the total electric field zero, other than at infinity? (Hint: A graphing calculator can yield considerable insight in this problem.)arrow_forward(a) What magnitude point charge creates a 10,000 N/C electric field at a distance of 0.250 m? (b) How large is the field at 10.0 m?arrow_forward
- A charge of q = 2.00 109 G is spread evenly on a thin metal disk of radius 0.200 m. (a) Calculate the charge density on the disk. (b) Find the magnitude of the electric field just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge.arrow_forwardFor each sketch of electric field lines in Figure P24.8, compare the magnitude of the electric field in region A to the magnitude of the electric field in region B. FIGURE P24.8arrow_forwardRank the electric fluxes through each gaussian surface shown in Figure OQ19.7 from largest to smallest. Display any cases of equality in your ranking. Figure OQ19.7arrow_forward
- A 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_forwardFigure P24.17 shows a dipole. If the positive particle has a charge of 35.7 mC and the particles are 2.56 mm apart, what is the electric field at point A located 2.00 mm above the dipoles midpoint?arrow_forwardThe electric field at a point on the perpendicular bisector of a charged rod was calculated as the first example of a continuous charge distribution, resulting in Equation 24.15:E=kQy12+y2j a. Find an expression for the electric field when the rod is infinitely long. b. An infinitely long rod with uniform linear charge density also contains an infinite amount of charge. Explain why this still produces an electric field near the rod that is finite.arrow_forward
- Two small spherical conductors are suspended from light-weight vertical insulating threads. The conductors are brought into contact (Fig. P23.50, left) and released. Afterward, the conductors and threads stand apart as shown at right. a. What can you say about the charge of each sphere? b. Use the data given in Figure P23.50 to find the tension in each thread. c. Find the magnitude of the charge on each sphere. Figure P23.50arrow_forward(a) Using the symmetry of the arrangement, determine the direction of the electric field at the center of the square in Figure 18.53, given that qa= 1.00C and qc=qd= +1.00 C. (b) Calculate the magnitude of the electric field at the location of q, given that the square is 5.00 cm on a side.arrow_forwardFIGURE P25.41 Problems 51 and 52. Find the surface charge density of a sheet of charge that would produce the same electric field as that of a very large flat slab of uniform charge density = 2.00 C/m3 and thickness 2t = 5.00 cm (Fig. P25.51).arrow_forward
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