Physics Forums

Physics Forums (http://www.physicsforums.com/index.php)
-   Classical Physics (http://www.physicsforums.com/forumdisplay.php?f=61)
-   -   What is the curl of a electric field? (http://www.physicsforums.com/showthread.php?t=670051)

back2square1 Feb7-13 07:45 AM

What is the curl of a electric field?
 
This should be simple but I know I'm going wrong somewhere and I can't figure out where.
The curl of a electric field is zero,
i.e. [itex]\vec { \nabla } \times \vec { E } = 0[/itex]
Because , no set of charge, regardless of their size and position could ever produce a field whose curl is not zero.

But,
Maxwell's 3rd Equation tells us that,
the curl of a electric field is equal to the negative partial time derivative of magnetic field [itex] \vec {B}[/itex].
i.e. [itex]\vec { \nabla } \times \vec { E } = -\frac { \partial }{ \partial t } \vec { B } [/itex]

So is the curl zero or is it not? If we equate those two equations we get that the time derivative of magnetic field is zero. What's wrong? What am I missing?

jtbell Feb7-13 07:54 AM

Re: What is the curl of a electric field?
 
Quote:

Quote by back2square1 (Post 4260665)
The curl of a electric field is zero,
i.e. [itex]\vec { \nabla } \times \vec { E } = 0[/itex]

That should read, "the curl of an electrostatic field is zero," that is, the electric field associated with a set of stationary charges has a curl of zero. In this situation, there is no magnetic field, so ##\partial \vec B / \partial t = 0##.

back2square1 Feb7-13 09:57 AM

Re: What is the curl of a electric field?
 
Oh. Thanks. Got it. Sometimes things as simple as this slip off.


All times are GMT -5. The time now is 02:17 AM.

Powered by vBulletin Copyright ©2000 - 2014, Jelsoft Enterprises Ltd.
© 2014 Physics Forums