GREPhysics.NET: GR8677 #79

GR8677 #79

Problem

GREPhysics.NET Official Solution

Electromagnetism $\Rightarrow$ }Field Lines

The Maxwell Equation that states ``No monopoles" requires that the divergence of the magnetic field be 0, or more elegantly, $\nabla \cdot \vec{B} = 0$ . The problem asks for fields that violate this condition, so the condition to look for now is $\nabla \cdot \vec{B} \neq 0$ .

(A) $\vec{B}=\pm Const$ ... divergence is 0

(B) $\vec{B}=\pm Const$ ... divergence is 0

(C) this does not explicitly require the divergence to be 0.

(D) this is a non-zero divergence, as the field lines diverge outwards from a source.

(E) this is $\nabla \times \vec{B}\neq 0$ ... doesn't necessarily state anything about $\nabla \cdot \vec{B}$

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T
2005-11-08 21:20:01

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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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