A neutral atom is placed 1mm away form the center of a thin, uniformly charged disk with 10cm diameter and a 20C total charge. What is the magnitude of the induced dipole moment of the atom if the polarizability is 1e-3 Cm²/? X Cm 0
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- The polarization vector in a dielectric tube of inner radius r; and outer radius r, is P = Po (âx2x + ây3y). The axis of the dielectric tube defined by zo>z>0 coincides with the z-axis. a) Determine the equivalent polarization surface and volume charge densitites. b) Show that the total bound charge is zero.Problem 7: The formula for the molecular polarizability a = 4xeg R of a metal sphere is useful for estimating the polarizability of an atom or molecule if Ris taken to be its radius. (a) Use this to estimate the molecular polarizability of hydrogen. (b) What is the induced dipole moment (in Debyes) if the electric field is 3 x 10 V/m, the dielectric strength for air?A dielectric material contains 3x 1020 polar molecules/m3, each of dipole moment 5 x 10-29 C.m. What is the polarization field, P?
- The plates of a parallel plate capaeilor are comected to a baltery, have separalioni d and the clectrie field has magnitude E. The plate separation is then mcreased to 2d. The electie held S TOW Select one: a 4E b. E/4 CE e. E 21 ) A cylindrical dielectric of permittivity ε, radius R, and length h, is centered about the z-axis. Assume this Cylinder has a uniform electric polarization along its axis given by P=P0z. a) What are the polarization charge densities on its surfaces?Q- 2- A sphre P Ruluis R with unifvm chavge p. us Causs Law to Pind the electvic field -
- hat field strength will deflect the electron by θ= 10?An electron and a neutral carbon atom of polarizability a are at a distance r apart (r is much greater than the diameter d of the atom). Due to polarization of the atom by the electron, there is a force F between the electron and the carbon atom. If we change r F' to 3.6r, what will be the ratio of where F F is the new force between the two? Hint: To find the r-dependence of the force, first find the induced polarization (dipole moment) of the atom as a function of r. Then find the force exerted by this induced dipole on the electron.A dipole located at the origin in free space has a moment of p=2x 10 " Cm. Deter mine the points on the line y=2, x=0 that will make E6l = Imv/m. == %3D
- If an electric dipole is formed by polarizing a Hydrogen atom so that the electron and proton have an effective separation of 0.05 nm, what electric field strength does the dipole generate a distance of 20 nm away, along the axis of the dipole moment? Answer in N/C.A spherical conductor of radius RR has no net charge on it. However, there is a cavity inside it of radius aa and concentric with the conductor and there is a point charge, +Q+Q, in the centre of that cavity. The situation is shown in the figure below. R +Q Take R=20.0 cm, a=10.0 cm and Q=7.50 µC. (a) What is the surface charge density of the induced charge on the inner surface of the conductor? (b) What is the surface charge density of the outside surface of the conductor?A neutral atom with an atomic polarizability a is placed in the field of an ideal electric dipole with dipole moment po. The coordinate system is set up so that the dipole is located at the origin and pointing at the +z direction. The location of the neutral atom is (x,y, z). a) Write down the electric field vector created by the dipole at the location of the neutral atom. Express your result in terms of p0,x,y, z. b) Calculate the induced dipole moment on the neutral atom. Express your result in terms of Po, x, y, z, a. c) Calculate the potential energy of the polarized neutral atom in the field of the ideal dipole.