Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 21, Problem 15P
To determine
The motion of the dipole moment.
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If we place a nonpolar molecule in an electric field, which is true?
O The field induces a dipole moment, with the positive end of the molecule in the direction of the field vector.
O The field induces a dipole moment, with the negative end of the molecule in the direction of the field vector.
O The field induces a dipole moment, with the dipole axis perpendicular to the field vector.
Find the ratio of q/Q for the E-field to be zero at adistance of z = 3.20R for the charge distributionand geometry of problem #30 of the text. a isthe charge on the LARGER ring. Q is the chargeon the SMALLER ring. Answer in 5 Significant Figures!!
Compute for the work done, in millijoules, in moving a 7-nC charge from A(-3, 0, 3) m to
B(4, -4, 9) m against the electric field due to a ring charge of radius 7 m on the plane z =
0. The ring has a total charge of 8 mC.
Chapter 21 Solutions
Physics for Scientists and Engineers
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Ch. 21 - Prob. 11PCh. 21 - Prob. 12PCh. 21 - Prob. 13PCh. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - Prob. 16PCh. 21 - Prob. 17PCh. 21 - Prob. 18PCh. 21 - Prob. 19PCh. 21 - Prob. 20PCh. 21 - Prob. 21PCh. 21 - Prob. 22PCh. 21 - Prob. 23PCh. 21 - Prob. 24PCh. 21 - Prob. 25PCh. 21 - Prob. 26PCh. 21 - Prob. 27PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - Prob. 30PCh. 21 - Prob. 31PCh. 21 - Prob. 32PCh. 21 - Prob. 33PCh. 21 - Prob. 34PCh. 21 - Prob. 35PCh. 21 - Prob. 36PCh. 21 - Prob. 37PCh. 21 - Prob. 38PCh. 21 - Prob. 39PCh. 21 - Prob. 40PCh. 21 - Prob. 41PCh. 21 - Prob. 42PCh. 21 - Prob. 43PCh. 21 - Prob. 44PCh. 21 - Prob. 45PCh. 21 - Prob. 46PCh. 21 - Prob. 47PCh. 21 - Prob. 48PCh. 21 - Prob. 49PCh. 21 - Prob. 50PCh. 21 - Prob. 51PCh. 21 - Prob. 52PCh. 21 - Prob. 53PCh. 21 - Prob. 54PCh. 21 - Prob. 55PCh. 21 - Prob. 56PCh. 21 - Prob. 57PCh. 21 - Prob. 58PCh. 21 - Prob. 59PCh. 21 - Prob. 60PCh. 21 - Prob. 61PCh. 21 - Prob. 62PCh. 21 - Prob. 63PCh. 21 - Prob. 64PCh. 21 - Prob. 65PCh. 21 - Prob. 66PCh. 21 - Prob. 67PCh. 21 - Prob. 68PCh. 21 - Prob. 69PCh. 21 - Prob. 70PCh. 21 - Prob. 71PCh. 21 - Prob. 72PCh. 21 - Prob. 73PCh. 21 - Prob. 74PCh. 21 - Prob. 75PCh. 21 - Prob. 76PCh. 21 - Prob. 77PCh. 21 - Prob. 78PCh. 21 - Prob. 79PCh. 21 - Prob. 80PCh. 21 - Prob. 81PCh. 21 - Prob. 82PCh. 21 - Prob. 83PCh. 21 - Prob. 84PCh. 21 - Prob. 85PCh. 21 - Prob. 86PCh. 21 - Prob. 87P
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- An electric dipole located at the origin in free space has a moment p = 3āx - 2āy + āz nC.m, find (a) V at PA (2, 3, 4), (b) V at r=2.5, 0=30°, Ø = 40°. %3Darrow_forwardShow that the energy of an ideal dipole p in an external electric field E is U = -p E Start by calculating the energy of a physical dipole of charges +ą separated by a displacement a, with p qa. Then take the limit a → 0, q + o with qa constant (equal to p).arrow_forwardA perfectly cubical gaussian surface has an electric dipole (two charges (±Q) of equalsize put opposite signs separated by a distance l) at its geometric center. The totalElectric flux through all of the six faces of the cube is .................. ??arrow_forward
- A molecules of oxygen possess a charges of -2C and 2C separated from a distance of 0.2m. Calculate the dipole moment in this condition.arrow_forwardShown below (Figure 1) is an electric dipole with equal charges +Q and –Q separated by a distance d. The dipole is free to rotate or move. Consider the following information: The dipole sits inside an electric field with |E| > 0. The dipole feels the largest torque possible. When rotated from its original orientation and released, the dipole moves back towards the original orientation. (a) On the picture below, sketch field lines corresponding to an external electric field that is compatible with this description. (b) Qualitatively, describe what would happen if the external field is shifted by 90 degreesarrow_forwardIn empty space there is (-∞, 0) semi-infinite linear uniform and constant charge density ρl = 4 [C / m] on the z-axis. Calculate the electrostatic field that this charge density will create at point A (5,0,0). ke = 1 / 4πεWrite numerically the components of the electrostatic field in terms of the given quantities.arrow_forward
- Consider an electric dipole in free space located at the coordinates origin where dipole moment is pointing in the positive z-axis direction. If the voltage due to this dipole is 0.6 V at the point (r, 0, 4)=(0.2m, 2.4rad, 0.9rad), Dipole moment p in pC.m is: One possible correct answer is: -3.6163403761983 Corresponding electric field components in V/m are: 10 EX One possible correct answer is: 6 10 One possible correct answer is: -2.7480428690202 10 One possible correct answer is: 0arrow_forwardThree identical infinite uniform line charges of (5 μC/m) lie along the (positive and negative) x, y and z axes in free space. Find E at: PA(0, 0, 3) due to line charge of x-axes?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
- Some types of molecules that do not possess an intrinsic electric dipole moment can be given one by an external electric field in a process called charge separation, or polarization. In this process, their internal charge distribution becomes distorted by the field, which results in the region of a molecule on the side in the direction of the field gaining a positive net charge and the region on the other side gaining a negative net charge. Both charges have equal magnitudes, and the electric neutrality of the molecule as a whole is maintained. The electric field is said to induce an electric dipole moment in such a molecule. When the field is canceled, the molecule reverts to its unpolarized state and loses its electric dipole moment. The electric behavior of such a molecule can be modeled by a pair of ±1.60×10^−19 C charges connected by a spring with force constant 0.000711 N/m. The spring must be imagined as possessing zero relaxed length so that normally the charges overlap and the…arrow_forwardSome types of molecules that do not possess an intrinsic electric dipole moment can be given one by an external electric field in a process called charge separation, or polarization. In this process, their internal charge distribution becomes distorted by the field, which results in the region of a molecule on the side in the direction of the field gaining a positive net charge and the region on the other side gaining a negative net charge. Both charges have equal magnitudes, and the electric neutrality of the molecule as a whole is maintained. The electric field is said to induce an electric dipole moment in such a molecule. When the field is canceled, the molecule reverts to its unpolarized state and loses its electric dipole moment. The electric behavior of such a molecule can be modeled by a pair of ±1.60×10−19 C±1.60×10−19 C charges connected by a spring with force constant 0.000613 N/m.0.000613 N/m. The spring must be imagined as possessing zero relaxed length so that normally…arrow_forwardCompute for the work done, in millijoules, in moving a 9-nC charge radially away from the center from a distance of 4 m to a distance of 9 m against the electric field inside a solid insulating sphere of radius 13 m and total charge 8 mC.arrow_forward
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