3. We can estimate the dipole moment of a strongly polar diatomic molecule by saying the charges are te (where e = 1.6 x 10-19 C) and the spacing is about one atom width say 2x10-10 m. How large a derivative of E (dE/dx) is necessary to overcome gravity for this dipole? Say that the molecular weight of such a molecule is 18 (like water is). This makes the mass of this 18 times the proton mass, roughly. Is this dE/dx easily made in the laboratory? Explain

3. We can estimate the dipole moment of a strongly polar diatomic molecule by saying the charges are te (where e = 1.6 x 10-19 C) and the spacing is about one atom width say 2x10-10 m. How large a derivative of E (dE/dx) is necessary to overcome gravity for this dipole? Say that the molecular weight of such a molecule is 18 (like water is). This makes the mass of this 18 times the proton mass, roughly. Is this dE/dx easily made in the laboratory? Explain

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The polarizability of NH3 molecule is found approximately by the measurement of dielectric constant as 2-42 x 10-39 coulomb²-m/newton and 1-74 x 10-39 coulomb?-m/newton on 309K and 448K respectively. Calculate for each temperature the polarizability due to deformation of molecules.
The HCl molecule has a dipole moment of about 3.4x10-30 C·m. The two atoms areseparated by about 1.0x10-10 m.a. What is the net charge on each atom? Is this equal to an integer multiple of e? Ifnot, explain.b. What maximum torque would this dipole experience in a 2.5x104 N/C electricfield?c. How much energy would be needed to rotate one molecule 45° from itsequilibrium (lowest potential energy) position?
2.7. A water molecule is a permanent dipole with a dipole moment of 6.186 × 10-30 Cm. Treat the axis of the dipole as the z axis and calculate the torque on a the molecule if it is in an 8500 N/C electric field aligned in the xz plane at an angle of 42° relative to the x axis.
A sample of HCI gas is placed in a uniform electric field of magnitude 8 x 104 N C!. The dipole moment of each HCI molecule is 4.6 x 10-30 Cm. Calculate the maximum torque experienced by each HCI molecule.
A sample of HCl gas is placed in an electric field of 3×104NC−1. The dipole moment of each HCl molecule is 3.4×10−30Cm. Calculate the maximum torque experienced by each HCl molecule.
3. The potential energy of two particles in the electrostatic field when they are separated by a distance r is given by α В -- + 4/8 r 78 U = -- + where a and ẞ are constants. At what separation will they form a stable compound?
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.
A charge distribution with spherical symmetry has density = [' Pv Po₂ 0, 0≤r≤R r> R Calculate energy with p.V du equation. PV dv
Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rp has charge -Q. The electric field E at a radial distance r from the central axis is given by the function: E = aer/ao + B/r + bo %3D where alpha (a), beta (B), ao and bo are constants. Find an expression for its capacitance. First, let us derive the potential difference Vab between the two conductors. The potential difference is related to the electric field by: Vab = | S"Edr= - [ *Edr Calculating the antiderivative or indefinite integral, Vab = (-aage-r/ao + B + bo By definition, the capacitance C is related to the charge and potential difference by: C = Evaluating with the upper and lower limits of integration for Vab, then simplifying: C = Q/( (e-rb/ao - eralao) + B In( ) + bo ( ))
Q2. Consider the general form of the frequency dependent relative permittivity of a medium: €,(w) = 1+ Etiw Ng², Tmeo (a) How does the above expression get modified if we assume that all the electrons have same natural frequency of oscillation? (b) Under the assumption made in part (a) and considering just one molecule per volume, plot the real and imaginary parts of €, as functions of frequency of the applied electric field. (c) Show that under certain assumption, the relative permittivity of a metal can be written as: e, (w) = (1– (d) What is the physical interpretation wp for a metal?
Cylindrical-conductors has inner and outer radii of 25 mm and 50 mm, respectively. If V(p = 25 mm) = 0 V and V(p = 50 mm) = 300 V, ɛr = 15 %3D calculate : a. V, E, and D at p = 40 mm b. Ps on each plate. %3D
Q3: Given that E =12p z coso a, -6 p z sino a, + 6 p' coso a. (a) find the volume charge density at A(2, 180,-1). (b) calculate the work done in transferring a 10 mC charge from.A to B(2, 0°,-1).