GREPhysics.NET: GR8677 #11

GR8677 #11

Problem

GREPhysics.NET Official Solution

Alternate Solutions

Electromagnetism $\Rightarrow$ }Vector Calculus

There are two identities from vector calculus one has to know by heart. The one directly applicable to this problem is:

$\nabla \cdot (\nabla \times \vec{H})=0<br />$

Plug in the equation given in the problem to the identity above to get 0.

(The other identity, not quite as useful for this problem, but perhaps useful for subsequent problems, is: $\nabla\times(\nabla f)$ )

Alternate Solutions

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Comments

casanovo 2008-10-29 14:52:17	The identity didn't show up, so here it is in words: The divergence of the curl is always zero. Reply to this comment
Furious 2007-10-30 22:58:19	Left out an = 0 in that last part. Reply to this comment

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Left out an = 0 in that last part.

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

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