Start form the result of part (a), Prob 71, Ch 25, 8th edition, which is Prob 48, Ch24, in the 10th edition, which gives the potential of an electric dipole, find the expression of the electric field produced by the dipole, in terms of the vectors r and p (the dipole moment). Do not express the result in component forms.

Start form the result of part (a), Prob 71, Ch 25, 8th edition, which is Prob 48, Ch24, in the 10th edition, which gives the potential of an electric dipole, find the expression of the electric field produced by the dipole, in terms of the vectors r and p (the dipole moment). Do not express the result in component forms.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter24: Electric Fields

Section: Chapter Questions

Problem 79PQ

See similar textbooks

Similar questions

Review. Two insulating spheres have radii r1 and r2, masses m1 and m2, and uniformly distributed charges q1 and q2. They are released from rest when their centers are separated by a distance d. (a) How fast is each moving when they collide? (b) What If? If the spheres were conductors, would their speeds be greater or less than those calculated in part (a)? Explain.
1. Dipole with electric moment p = 0.12 nCL*m is located at the beginning of coordinates and is directed along the positive direction of the x-axis. Using the dipole formula, find the components of the electric field strength vector E and its potential at the point with coordinates x = 80 mm, y = 40 mm.
The figure shows four orientations of an electric dipole in an external field. For each of the four dipoles, give the angle between the p vector (dipole moment) and the E vector (electric field vector) that is used in the formula for torque: torque = p E sin (phi) where phi is the angle between the p and E vectors. For example, how do you know if you use theta or 180 - theta for orientation (1); do you use theta or negative theta for orientation 4?
If 10 field lines leave a Gaussian surface when it completely surrounds the positive end of an eletric dipole, what would the count be if the surface surrounded a) just the other end of the dipole? b) What if it surrounded both ends of the dipole?
Suppose you have a dipole that’s free to move in any way, including rotate. And there’s an object with charge Q a distance raway. That distance r would be much larger than d, the distance of the dipole. A. Would the dipole end up attracted to the charge, repelled, or neither? B. Would the chargeQbe attracted, repelled, or neither to thedipole? C. Does the answer to parts A and B depend on the sign of Q?
Figure shows an electron passing between two charged metal plates that create an 100 N/C vertical electric field perpendicular to the electron’s original horizontal velocity. (These can be used to change the electron’s direction, such as in an oscilloscope.) The initial speed of the electron is 3.00×106 m/s , and the horizontal distance it travels in the uniform field is 4.00 cm. (a) What is its vertical deflection? (b) What is the vertical component of its final velocity? (c) At what angle does it exit? Neglect any edge effects.
Protons are projected with an initial speed υi = 9.55 km/s from a field-free region through a plane and into a region where a uniform electric field E→ = 2720ĵ ⁄ NyC is present above the plane as shown. The initial velocity vector of the protons makes an angle θ with the plane. The protons are to hit a target that lies at a horizontal distance of R = 1.27 mm from the point where the protons cross the plane and enter the electric field. We wish to find the angle θ at which the protons must pass through the plane to strike the target. (a) What analysis model describes the horizontal motion of the protons above the plane? (b) What analysis model describes the vertical motion of the protons above the plane? (c) Argue that Equation 4.20 would be applicable to the protons in this situation. (d) Use Equation 4.20 to write an expression for R in terms of υi , E, the charge and mass of the proton, and the angle θ. (e) Find the two possible values of the angle θ. (f) Find the time interval…
A charge of 23 nC is uniformly distributed along a straight rod of length 3.7 m that is bent into a circular arc with a radius of 2.2 m. What is the magnitude of the electric field at the center of curvature of the arc? ___________N/C (please include units so that I can follow the steps easier)
Two electric charges are separated by a finite distance. Somewhere between the charges, on the line connecting them, the netelectric field they produce is zero. (a) Do the charges have the sameor opposite signs? Explain. (b) If the point of zero field is closer tocharge 1, is the magnitude of charge 1 greater than or less than themagnitude of charge 2? Explain
(a) What is the dipole moment of the configuration shown above? If Q = 5.2 μC and a = 1.3 nm? (b) What is the torque on this dipole with an electric field of 4.8x×105i N/C? (c) What is the torque on this dipole with an electric field of −4.8x×105i N/C?
A thin rod of length ℓ and uniform charge per unit length λ lies along the x axis as shown. (a) Show that the electric field at P, a distance d from the rod along its perpendicular bisector, has no x component and is given by E = 2keλ sin θ0/d. (b) What If? Using your result to part (a), show that the field of a rod of infinite length is E = 2keλ/d.
An electron is projected with an initial speed vo = 1.60 x 10 m/s into the uniform field between two parallel plates, both 2.00 cm in length and is separated by a distance of 1.00 cm. Assume that the field between the plates is uniform and directed vertically downward and that the field outside the plates is zero. The elech on enters the field at a point midway between the plates. (a) If the electron just misses the upper plate as it emerges from the field, find the magnitude of the electric field. (b) Suppose that the electron is replaced by a proton with the same initial speed vo. Would the proton hit one of the plates? If not, what would be the magnitude and direction of its vertical displacement as it exits the region between the plates? If not, what would be the magnitude and direction of its vertical displacement as it exits the region between the plates?