Consider an ideal stationary magnetic dipole m in a static electric field E. Show that the fields

Question:

Consider an ideal stationary magnetic dipole m in a static electric field E. Show that the fields carry momentum

So far, this is valid for any localized static configuration. For a current confined to an infinitesimal neighborhood of the origin we can approximate V(r) ≈ V(0) − E(0) · r. Treat the dipole as a current loop, and use Eqs. 5.82 and 1.108.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction To Electrodynamics

ISBN: 9781108420419

4th Edition

Authors: David J. Griffiths

See More Books

Question Posted: Aug 03, 2022 01:08 AM

See More Questions

The electric and magnetic fields of a particle of charge q moving in a straight line with speed v = ?c, given by (11.152), become more and more concentrated as ? ? 1, as is indicated in Fig. Choose...
1. Consider the static electric field E 5Ei + 2Eoj Find the electric potential difference Vor between the point Q at (0; 2d; 0) and the point Pat (0; d: 0). Find the electric potential difference VRr...
Check my work Big10Sweaters.com is a new company started last year by two recent college graduates. The idea behind the company was simple. They will sell premium logo sweaters for Big Ten colleges...
A fast-food restaurant operates both a drive through facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive-through and...
Find the Nash equilibrium of the game that Bud and Wise play.
When at rest, a proton experiences a net electromagnetic force of magnitude 8.0 10-13 N pointing in the positive x direction. When the proton moves with a speed of 1.5 106 m/s in the positive y...
3. Workers assembling the tables are supervised by a factory supervisor who is paid $45,000 per year.
On November 1, 2018, Sigma Inc. invests in $1,000,000 of 5%, 10-year bonds issued by Microsoft Corporation, intending to hold the bonds until their maturity. The bonds pay interest each January 1 and...
Using the paper by Beck el at (2013) entitled Supervising cross-border banks: theory, evidence and policy, discuss the implications for the supervision of cross-border banks of the finding that banks...
Alpha and Beta are divisions within the same company. The managers of both divisions are evaluated based on their own divisions return on investment (ROI). Assume the following information relative...
A circular disk of radius R and mass M carries n point charges (q), attached at regular intervals around its rim. At time t = 0 the disk lies in the xy plane, with its center at the origin, and is...
A point charge q is located at the center of a toroidal coil of rectangular cross section, inner radius a, outer radius a + w, and height h, which carries a total of N tightly-wound turns and current...
If a famous executive were to give a passionate motivational speech, trying to persuade people to work harder, what do you think the impact would be? Why?
2 4 . In the current year, Madison sold Section 1 2 4 5 property for $ 6 , 0 0 0 . The property cost $ 2 6 , 0 0 0 when it was purchased 5 years ago. The depreciation claimed on the property was $ 2...
Swifty Company purchased machinery on January 1, 2025, for $82,400. The machinery is estimated to have a salvage value of $8,240 after a useful life of 8 years. (a) Your answer is incorrect. Compute...
Currently, the unit selling price is $ 5 0 , the variable cost is $ 3 4 , and the total fixed costs are $ 1 0 8 , 0 0 0 . a . Compute the current break - even sales in units.
(1) The Mean Value Theorem states: Let f be continuous over the closed [a, b] and differentiable over the open interval (a, b). Then, there exists at least one point c E (a, b) such that: f(b) - f(a)...
Assume you are an Israeli investor; the symbol for the Israeli currency, the shekel, is ILS. You see that stock for Top Image has a bid price of ILS 17 and an ask price of ILS 19 in Israel, a bid...
Sketch the curve with the given polar equation by first sketching the graph of r as a function of in Cartesian coordinates. r = 1 + 2 cos
(a) Given a mean free path = 0.4 nm and a mean speed vav = 1.17 105 m/s for the current flow in copper at a temperature of 300 K, calculate the classical value for the resistivity of copper. (b)...
Let , be the separation vector from a fixed point (x', y, z') to the point (x, y, z), and let be its length. Show that (a) (2) = 2 (b) (1/) = /2. (c) What is the general formula for (n)?
Suppose that f is a function of two variables (y and z) only. Show that the gradient f = (f/y)y + (f/z)z transforms as a vector under rotations, Eq. 1.29.
Calculate the divergence of the following vector functions: (a) va = x2 x + 3xz 2 y 2xz z. (b) vb = xy x + 2yz y + 3zx z. (c) vc = y2x + (2xy + z2)y + 2yzz.
Nelo Partnership had three partners, whose capital balances on June 30 were as follows: Jack $50,000, Andy $35,000, Nick $22,000. The profit-sharing ratio is 6:4:2 (Jack, Andy, Nick). On July 1,...
Alex buys a Blu-ray disc costing $14.49. Use the table below to find the sales tax on this item. Amount of Sale ($) Tax ($) 13.70 13.89 0.69 13.90 14.09 0.70 14.10 14.29 0.71 14.30 14.49 0.72 14.50...
Show partial income statements through gross margin for all three methods, assuming both products are further processed into Current Attempt in Progress It's mind - boggling the number of products...

Consider an ideal stationary magnetic dipole m in a static electric field E. Show that the fields

Question:

p = -4oμo(m x E).

Step by Step Answer:

E B dr of v VB x da 00 S P 0 So 0 0 For a current loop J dr VV x Bdr co 12 LV ...View the full answer

Introduction To Electrodynamics

Students also viewed these Engineering questions