The dipole moment, considered as a vector, points from the negative to the positive charge. The water molecule. Fig. 17-42 e has a dipole moment which
Figure 17-42
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Physics: Principles with Applications
- A water molecule consists of two hydrogen atoms bonded with one oxygen atom. The bond angle between the two hydrogen atoms is 104( (see below). Calculate the net dipole moment of a water molecule that is placed in a uniform, horizontal electric field of magnitude 2.3108N/C . (You are missing some information for solving this problem; you will need to determine what information you need, and look it up.)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_forwardThree identical conducting spheres are fixed along a single line. The middle sphere is equidistant from the other two so that the center-to-center distance between the middle sphere and either of the other two is 0.125 m. Initially, only the middle sphere is charged, with qmiddle = +35.6 nC. The middle sphere is later connected by a conducting wire to the sphere on the left. The wire is removed and then used to connect the middle sphere to the sphere on the right. The wire is again removed. a. C What is the charge on each sphere? b. C Which sphere experiences the greatest electrostatic force? c. N What is the magnitude of that force?arrow_forward
- A charge of 36.3 nC is transferred to a neutral copper ball of radius 4.35 cm. The ball is not grounded. The excess electrons spread uniformly on the surface of the ball. What is the number density (number of electrons per unit surface area) of excess electrons on the surface of the ball?arrow_forward(III) The dipole moment, considered as a vector, points from the negative to the positive charge. The water molecule, Fig. 17-42, has a dipole moment p which can be considered as the vector sum of the two dipole moments, P¡ and pP2, as shown. The distance between each H and the O is about 0.96 x 10-10 m. The lines joining the center of the O atom with each H atom make an angle of 104°, as shown, and the net dipole moment has been mea- sured to be p = 6.1 × 10-30 C · m. Determine the charge q on each H atom. 104° H+ FIGURE 17-42 Problem 34. P2 A water molecule, H2O.arrow_forwardThe magnitude of the electric fie ld at a distance r from a point charge O is equal to O/4πεor2. How close to a water molecule (of polarizability volume 1.48 x 1-30 m3) must a proton approach before the dipole moment it induces is equal to the permanent dipole moment of the molecule (1.85 D)?arrow_forward
- Three distribution of charges are present in free: space with: A uniform line charge of p₁ = 3 μC/m lies along z-axis. MC/m 3 μC / m 3 A concentric circular cylinder of radius 2 m has p, = 5 A concentric circular cylinder of radius 4 ≤r ≤ 5 has pv Find D at a) r=1 b) r-3 c) r=6 (a) 0.0477*10^-6 C/m^2, (b) 3.05*10^-6 C/m^2, (c) 0.0022*10^-6 O C/m^2 (a) 4.77*10^-6 C/m^2, (b) 3.5*10^-6 O C/m^2, (c) 0.22*10^-6 C/m^2 (a) 0.477*10^-6 C/m^2, (b) 3.5*10^-6 C/m^2, (c) 0.022*10^-6 C/m^2 (a) 0.477*10^-5 C/m^2, (b) 3.5*10^-6 C/m^2, (c) 0.022*10^-5 O C/m^2arrow_forwardAn object of mass 5 × 10-6 g is placed over a thin positively charged sheet of surface density of charge σ = 4.0 × 10-6C/m2 (figure shown below). Estimate the charge that should be given to this object so that upon release it will not fall down. Calculate the number of electrons that is to be removed to give this charge. How much mass loss is caused by this removal of electrons?arrow_forwardThree positive point charges on the corners of a square with side length 63m are 39µC(top left), 99µC(top right) and, 64µC(bottom right) what will be the magnitude of a forth charge (bottom left) in µC so that the total energy of the system becomes zero.arrow_forward
- Three point charges are placed at the following points on the +x-axis +2 uC at x = 0, -3 µC at x = 40 cm, -5 µC at x = 120 cm. Find the force on the -5 uC charge.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 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_forward
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