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 14P
To determine
The number and values for unknown charge.
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Two charged particles are located on the x axis. The first is a charge +Q at x = -a. The second is an unknown charge located at x = +3a. The net electric field these charges produce at the origin has a magnitude of 2keQ/a2. Explain how many values are possible for the unknown charge and find the possible values.
Two charged particles are located on the x axis. The first is a charge +Q at x = -a. The second is an unknown charge located at x = +3a. The net electric field these charges produce at the origin has a
magnitude of 2k₂Q/a². What are the two possible values of the unknown charge?
negative value
9
✔ XQ
9
positive value
Your response differs from the correct answer by more than 10%. Double check your calculations. x Q
Two charged particles are located on the x axis. The first is a charge +Q at x = -a. The second is an unknown charge located at x = +3a. The net electric field these charges produce at the origin has a magnitude
of 2k.Q/a?. What are the two possible values of the unknown charge?
negative value
x Q
positive value
x Q
+
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 Two positively charged particles, each with charge Q, are held at positions (a, 0) and (a, 0) as shown in Figure P23.73. A third positively charged particle with charge q is placed at (0, h). a. Find an expression for the net electric force on the third particle with charge q. b. Show that the two charges Q behave like a single charge 2Q located at the origin when the distance h is much greater than a. Figure P23.73 Problems 73 and 74.arrow_forwardA conducting rod carrying a total charge of +9.00 C is bent into a semicircle of radius R = 33.0 cm, with its center of curvature at the origin (Fig.P24.75). The charge density along the rod is given by = 0 sin , where is measured clockwise from the +x axis. What is the magnitude of the electric force on a 1.00-C charged particle placed at the origin?arrow_forwardThe infinite sheets in Figure P25.47 are both positively charged. The sheet on the left has a uniform surface charge density of 48.0 C/m2, and the one on the right has a uniform surface charge density of 24.0 C/m2. a. What are the magnitude and direction of the net electric field at points A, B, and C? b. What is the force exerted on an electron placed at points A, B, and C? FIGURE P25.47arrow_forward
- Eight small conducting spheres with identical charge q = 2.00 C are placed at the corners of a cube of side d = 0.500 m (Fig. P23.75). What is the total force on the sphere at the origin (sphere A) due to the other seven spheres? Figure P23.75arrow_forwardA circular ring of charge with radius b has total charge q uniformly distributed around it. What is the magnitude of the electric field at the center of the ring? (a) 0 (b) keq/b2 (c) keq2/b2 (d) keq2/b (e) none of those answersarrow_forwardWhy is the following situation impossible? A solid copper sphere of radius 15.0 cm is in electrostatic equilibrium and carries a charge of 40.0 nC. Figure P24.30 shows the magnitude of the electric field as a function of radial position r measured from the center of the sphere. Figure P24.30arrow_forward
- A uniform electric field given by E=(2.655.35j)105N/C permeates a region of space in which a small negatively charged sphere of mass 1.30 g is suspended by a light cord (Fig. P24.53). The sphere is found to be in equilibrium when the string makes an angle = 23.0. a. What is the charge on the sphere? b. What is the magnitude of the tension in the cord? FIGURE P24.53arrow_forwardFind an expression for the magnitude of the electric field at point A mid-way between the two rings of radius R shown in Figure P24.30. The ring on the left has a uniform charge q1 and the ring on the right has a uniform charge q2. The rings are separated by distance d. Assume the positive x axis points to the right, through the center of the rings. FIGURE P24.30 Problems 30 and 31.arrow_forwardTwo charged particles are located on the x axis. The first is a charge +Q at x = -a. The second is an unknown charge located at x = +3a. The net electric field these charges produce at the origin has a magnitude of 2kQ/a². What are the two possible values of the unknown charge? negative value Q positive value + Qarrow_forward
- Two charged particles are located on the x-axis The first is a +Q charge in x=-a. The second is an unknown charge located at x= +3a. The net electric field that these charges produce at source has a value of 2kQ/a^2. Explain how many values are possible for the unknown charge and find the possible valuesarrow_forwardP 2R R. The center of the charged circle of radius R = 10cm in the x-z plane is coincident with the origin of the coordinate system in the figure. The total charge Q on the circle is not uniform, but is distributed according to the relation 1 = V50. Where 0 is the angle between the radius R of the circle and the +x-axis in radian. Find the magnitude of the Electric field due to these charges in the y-axis direction only, at the point P at a distance of 2R. ke -, ɛo = 9x10-12 (S) and n = 3 Wm b) ) c) ) d) (4) e) 1013 1013 a) 15 1013 1013 1013 75 105 135arrow_forwardA uniform line of charge has length L=55 cm and total charge Q=7.0 μC. What is the magnitude of the electric field as distance d=40 cm above the end and perpendicular to the line of charge?arrow_forward
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