GREPhysics.NET: GR9277 #13

GR9277 #13

Problem

GREPhysics.NET Official Solution

\prob{13}
Listed below are Maxwell's equations of electromagnetism. If magnetic monopoles exist, which of these equations would be INCORRECT?
I. Curl $\vec{H}=\vec{J}+\partial_t \vec{D}$
II. Curl $\vec{H}=\vec{J}+\partial_t \vec{D}$
III. Curl $\vec{H}=\vec{J}+\partial_t \vec{D}$
IV. Curl $\vec{H}=\vec{J}+\partial_t \vec{D}$

IV only
I and II
I and III
II and IV
III and IV

Electromagnetism $\Rightarrow$ }Maxwell's Equations

Magnetic monopoles remain a likeable (even lovable) theoretical construct because of their ability to perfectly symmetrize Maxwell's equations. Since the curl term has an electric current, the other curl term should have a magnetic current. ( $\nabla \cdot B \neq 0$ is taken to be obvious in presence of magnetic charge.) The answer is thus (D), and the revised equations are,

$\begin{eqnarray} \nabla \times H = J_e+\frac{\partial D}{\partial t}\\ \nabla \times E = -J_m-\frac{\partial B}{\partial t}\\ \nabla \cdot D = \rho_e\\ \nabla \cdot B = \rho_m.<br /> \end{eqnarray}$

Alternate Solutions

There are no Alternate Solutions for this problem. Be the first to post one!

Comments

dotyhughes117
2024-05-21 19:44:07

Fantastic post but I was wondering if you could write a litte more on this topic? I’d be very grateful if you could elaborate a little bit more.

basement waterproofing Pittsburgh

Reply to this comment

dotyhughes117
2023-07-05 19:51:20

I noticed that you’ll be are usually legitimately interested in this type of! We are seeking to build my own ring online site and you also include reduced the problem by including great statistics.
https://www.sydneyborewater.com.au/

Reply to this comment

chavesarlene4
2023-05-10 06:09:37

Electric charges, magnetic moments, and the electromagnetic field physically interact to form electromagnetism. A wave can form in the electromagnetic field, or it might be static or slowly changing. Light generally refers to electromagnetic waves that follow the principles of optics Grande Prairie Snow Removal

Reply to this comment

Meggy12345
2019-06-21 05:48:50

I'm still confuse! I need more solution for this problem thanks!
scotts lawn care services

Reply to this comment

patsm00re18
2019-06-06 02:52:41

Thanks for letting us know about this Maxwell's Equation...Tree Solutions Winter Garden

Reply to this comment

techblaster
2018-08-19 15:46:08

http://giftcardbalance.us

Reply to this comment

solidstate
2011-10-24 21:11:18

Isn't there TYPO in the question???

Reply to this comment

ramparts
2009-08-09 17:13:54

Even if you don't know exactly how the equations would change with monopoles, if you know that monopoles symmetrize the equations (by making some terms not 0), just compare like equations and see which ones are missing pieces. Eqn II is like Eqn I but without the J, and Eqn IV is like Eqn III but without the rho.

Reply to this comment

hoyas08
2007-12-26 16:45:26

The choices should be:

I. Curl H = J + ∂D/∂t
II. Curl E = -∂B/∂t
III. div D = ρ
IV. div B = 0

I think the answer is still D with these choices.

Reply to this comment

bootstrap
2007-04-05 19:14:29

All 4 of the curls in the question are exactly the same.

Reply to this comment

bootstrap
2007-04-05 19:14:20

All 4 of the curls in the question are exactly the same.

techblaster
2018-08-19 15:45:39

http://allmattresssale.com/ http://giftcardbalance.us/\\\\r\\\\n

Reply to this comment

Post a Comment

Comments are open for signed-in members.

A short Physics 101 question is required before each comment is published.

Bare Basic LaTeX Rosetta Stone
LaTeX syntax supported through dollar sign wrappers $, ex., $\alpha^2_0$ produces $\alpha^2_0$ .
type this...	to get...
$\int_0^\infty$	$\int_0^\infty$
$\partial$	$\partial$
$\Rightarrow$	$\Rightarrow$
$\ddot{x},\dot{x}$	$\ddot{x},\dot{x}$
$\sqrt{z}$	$\sqrt{z}$
$\langle my \rangle$	$\langle my \rangle$
$\left( abacadabra \right)_{me}$	$\left( abacadabra \right)_{me}$
$\vec{E}$	$\vec{E}$
$\frac{a}{b}$	$\frac{a}{b}$

The Sidebar Chatbox...
Scroll to see it, or resize your browser to ignore it...

All-Solutions List | Latest Comments | Unanswered Questions (Cries for Help!) |::| About

This site is not affiliated with ETS, nor is it officially endorsed (yet) by ETS. This site is the work of an individual named Yosun Chang. The solutions, sans user comments and ETS questions, are © 2005 by Yosun Chang except where noted. All rights reserved. / The comments appending particular solutions are due to the respective users. / Educational Testing Service, ETS, the ETS logo, Graduate Record Examinations, and GRE are registered trademarks of Educational Testing Service. The examination questions are © 1997 and © 2001 by ETS.

Bare Basic LaTeX Rosetta Stone