In a certain region of space, electric field is along the z-direction throughout. The magnitude of electric field is, however, not constant but increases uniformly along the positive z-direction, at the rate of 105 NC-1 per metre. What are the force and torque experienced by a system having a total dipole moment equal to 10-7 Cm in the negative z-direction ?

In a certain region of space, electric field is along the z-direction throughout. The magnitude of electric field is, however, not constant but increases uniformly along the positive z-direction, at the rate of 105 NC-1 per metre. What are the force and torque experienced by a system having a total dipole moment equal to 10-7 Cm in the negative z-direction ?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 9OQ: Two solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good...

See similar textbooks

Similar questions

What is the magnitude of the electric field E on the z axis as a function of z, for z>0
An electric dipole moment of p (7.37, -5.27, 4.37) Cm is inside a uniform electric field of E = (4.97, -6.90, 8.34) V/m. (a) What is the magnitude of the torque acting on the dipole? (b) What is the angle between the electric dipole vector and the electric field?
A long solid copper cylinder has a radius of R=3.0cmR=3.0cm and a uniform (linear) surface charge density of 5.75μC/mμC/m. What is the magnitude of the electric field, in newtons per coulomb, at a distance of 1.5 cm from the symmetry axis of the cylinder?
The permanent electric dipole moment of the water molecule (H2O) is 6.2×10^−30 C⋅m What is the maximum possible torque on a water molecule in a 5.0×108 N/C electric field?
A uniform charge of 16.0 mC is on a thin circular ring lying in an xy plane and centered on the origin.The ring’s radius is 3.00 cm. If point A is at the origin and point B is on the z axis at z = 4.00 cm, what is VB - VA?
Two solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB = 0 (b) EA EB 0 (c) EA = EB 0 (d) 0 EA EB (e) 0 = EA EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? Choose from the same possibilities as in part (i).
A disk with uniform surface charge density σ = −7.20 µC/m2 is oriented as shown in the diagram below. The field at a distance y from the center of a disk (of radius r) and along its axis is given by E = σ/2ε0 (1- y/sqrt(y^2+r^2)) where ε0 = 8.85 ✕ 10−12 C2/(N · m2) is the permittivity of free space. (a) If the radius of the disc is 0.420 m, what is the electric field at a location P whose coordinates are (0, 0.180 m)? magnitude N/C direction ---Select--- +x axis −x axis +y axis −y axis The magnitude is zero. (b) What is the magnitude of the electric field at a location very close to the disc? (Assume r ≫ y.) __________N/C
A charge of uniform linear density 1.90 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell with an inner radius of 6.34 cm and an outer radius of 10.4 cm. If the net charge on the shell is zero, what is the surface charge density on the outer surface of the shell?
Early in the 20th century, a leading model of the structure of the atom was that of English physicist J. J. Thomson (the discoverer of the electron). In Thomson’s model, an atom consisted of a sphere of positively charged material in which were embedded negatively charged electrons, like chocolate chips in a ball of cookie dough. Consider such an atom consisting of one electron with mass m and charge -e, which may be regarded as a point charge, and a uniformly charged sphere of charge +e and radius R. By that time time, it was known that excited atoms emit light waves of only certain frequencies. In his model, the frequency of emitted light is the same as the oscillation frequency of the electron (s) problems in the atom. What radius (in millimeter) would a Thomson-model atom need for it to produce red light of frequency 4.57 x 1014 Hz? (Don't express your answer in scientific notation)
In the figure below, a small, nonconducting ball of mass m = 1.4 mg and charge q = 2.2 ✕ 10−8 C (distributed uniformly through its volume) hangs from an insulating thread that makes an angle θ = 27° with a vertical, uniformly charged nonconducting sheet (shown in cross-section). Considering the gravitational force of the ball and assuming that the sheet extends far vertically and into and out of the page, calculate the surface charge density σ of the sheet. ___________C/m2
A uniform electric field of magnitude 25.6 N/C is parallel to the x axis. A circular loop of radius 16.7 cm is centered at the origin with the normal to the loop pointing 52.9* above the x axis. To what angle, in degrees from the positive x axis, should the normal of the loop be rotated so that the flux through the loop becomes 0.314 N - m-/C?
A very long uniform line of charge with charge per unit length λ = +5.00 μC/m lies along the xx-axis, with its midpoint at the origin. A very large uniform sheet of charge is parallel to the xy-plane; the center of the sheet is at z = +0.600 m. The sheet has charge per unit area σ = +8.00 μC/m2, and the center of the sheet is at x=0, y=0. Point A is on the z-axis at z = +0.300 m, and point B is on the z-axis at z = -0.200 m.What is the potential difference VAB=VA−VB between points A and B?