EMEC - Greg: Difference between revisions

Latest revision as of 14:17, 7 January 2010

Definitions

Symbol	Units	Name	Definition
		Flux	A scalar value. The rate of transfer of energy (or another physical quantity) per unit area. <ref> Wiktionary - Flux </ref>
$\vec{E}$	$\frac{V}{M}$	Electric field (intensity/strength)	The space surrounding an electric charge. It will exert a force on other electrically charged objects.
$\vec{D}$	$\frac{C}{M^{2}}$	Electric (flux density/displacement field)	The amount of electric flux in a unit area perpendicular to the direction of electric field
$\vec{H}$	$\frac{A}{M}$	Magnetic field (intensity/strength)	A magnetic field is a vector field which surrounds magnets and electric currents, and is detected by the force it exerts on moving electric charges and on magnetic materials. <ref> Magnetic field </ref>
$\vec{B}$	$T = \frac{W}{M^{2}}$	Magnetic (flux density/induction)	The amount of magnetic flux in a unit area perpendicular to the direction of magnetic flow <ref> Magnetic flux density </ref>

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Electric field lines <ref> Electric field lines</ref>

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Electric flux density <ref> Electric flux density </ref>

Analogies between Electric & Magnetic Circuits

Electric	Magnetic	Notes
$V = \int \vec{E} \vec{d l}$	$\vec{F} = \int \vec{H} \vec{d l}$
$\sum_{n} V_{n} = 0 = \oint \vec{E} \vec{d l}$	$\oint \vec{H} \vec{d l} = N i = \sum_{n} H l + N i = 0$	Kirchoff's voltage law, Ampere's law
$\sum_{n} I_{n} = 0 = \oint_{S} \vec{J} \vec{d S}$	$\oint \vec{B} \vec{d S} = 0$	Kirchoff's current law, The B-field has to go around in a loop
$\oint \vec{J} \vec{d S} = I$	$\int \vec{B} \vec{d S} = Φ$	Magnetic flux, Phi
$R = \frac{V}{I}$	$ℜ = \frac{F}{Φ} = \frac{N i}{Φ}$	Reluctance
$I = \frac{V}{R} = G V$ or $\vec{J} = σ \vec{E}$	$\vec{B} = μ H$	Assumes linearity - exceptions: Hysterisis loop, etc

References

@@ Line 1: / Line 1: @@
-=Definitions=
+===Definitions===
+[http://en.wikipedia.org/wiki/Electromagnetism#Units Electromagnetism Units]
 {| class="wikitable" border="1"
-! Symbol !! Units !! Name
+! Symbol !! Units !! Name !! Definition
+|-
+|
+|
+| Flux
+|  A scalar value. The rate of transfer of energy (or another physical quantity) per unit area. <ref>  [http://en.wiktionary.org/wiki/flux#Noun Wiktionary - Flux] </ref>
 |-
-| <math>\overrightarrow{E}</math>|| <math>\frac{V}{M}</math> || Electric Field Intensity
+| <math>\overrightarrow{E}</math>
+| <math>\frac{V}{M}</math>
+| Electric field (intensity/strength)
+| The space surrounding an electric charge. It will exert a force on other electrically charged objects.
 |-
-| <math>\overrightarrow{D}</math>|| <math>\frac{C}{M^2}</math> || Electric Flux Density
+| <math>\overrightarrow{D}</math>
+| <math>\frac{C}{M^2}</math>
+| Electric (flux density/displacement field)
+| The amount of electric flux in a unit area perpendicular to the direction of electric field
 |-
-| <math>\overrightarrow{H}</math>|| <math>\frac{A}{M}</math> || Magnetic Field Intensity
+| <math>\overrightarrow{H}</math>
+| <math>\frac{A}{M}</math>
+| Magnetic field (intensity/strength)
+| A magnetic field is a vector field which surrounds magnets and electric currents, and is detected by the force it exerts on moving electric charges and on magnetic materials. <ref> [http://www.rfcafe.com/references/electrical/magnetic-field.htm Magnetic field] </ref>
 |-
-| <math>\overrightarrow{B}</math>|| <math>T = \frac{W}{M^2}</math> || Magnetic Flux Density
+| <math>\overrightarrow{B}</math>
+| <math>T = \frac{W}{M^2}</math>
+| Magnetic (flux density/induction)
+| The amount of magnetic flux in a unit area perpendicular to the direction of magnetic flow <ref> [http://wordnetweb.princeton.edu/perl/webwn?s=magnetic%20flux%20density Magnetic flux density] </ref>
 |}
-=Analogies between Electric & Magnetic Circuits=
+[[Image:fieldlines.jpg|thumb|300px|Electric field lines <ref> [http://www.molcad.de/competence/fieldlines.html.en Electric field lines]</ref> ]]
+[[Image:Electflux.jpg|thumb|300px|Electric flux density <ref> [http://www.bun.kyoto-u.ac.jp/~suchii/maxwell.eq.html Electric flux density] </ref> ]]
+===Analogies between Electric & Magnetic Circuits===
 {|class="wikitable" border="1"
 ! Electric !!  Magnetic !! Notes
 |-
-| <math>V = \int \overrightarrow{E} \cdot \overrightarrow{dl}</math>
+| <math>V = \int \overrightarrow{E} \overrightarrow{dl}</math>
-| <math>\overrightarrow{F} = \int \overrightarrow{H} \cdot \overrightarrow{dl}</math>
+| <math>\overrightarrow{F} = \int \overrightarrow{H} \overrightarrow{dl}</math>
 |-
-| <math>\sum_{n} V_{n} = 0 = \oint \overrightarrow{E} \cdot \overrightarrow{dl}</math>
+| <math>\sum_{n} V_{n} = 0 = \oint \overrightarrow{E} \overrightarrow{dl}</math>
-| <math>\oint \overrightarrow{H} \cdot \overrightarrow{dl} = N \cdot i = \sum_{n} H \cdot l + N \cdot i = 0 </math>
+| <math>\oint \overrightarrow{H} \overrightarrow{dl} = N i = \sum_{n} H l + N i = 0 </math>
-|Kirchoff's voltage law
+|Kirchoff's voltage law, Ampere's law
 |-
-| <math>\sum_{n} I_{n} = 0 = \oint_{S} \overrightarrow{J} \cdot \overrightarrow{dS}</math>
+| <math>\sum_{n} I_{n} = 0 = \oint_{S} \overrightarrow{J} \overrightarrow{dS}</math>
-| <math>\oint \overrightarrow{B} \cdot \overrightarrow{dS} = 0 </math>
+| <math>\oint \overrightarrow{B} \overrightarrow{dS} = 0 </math>
 |Kirchoff's current law, The B-field has to go around in a loop
 |-
-| <math>\oint \overrightarrow{J} \cdot \overrightarrow{dS} = I</math>
+| <math>\oint \overrightarrow{J} \overrightarrow{dS} = I</math>
-| <math>\int \overrightarrow{B} \cdot \overrightarrow{dS} = \overbrace{\Phi}^{phi} </math>
+| <math>\int \overrightarrow{B} \overrightarrow{dS} = \Phi </math>
-|Magnetic flux
+|Magnetic flux, Phi
 |-
 | <math> R = \frac{V}{I}</math>
-| <math> \overbrace{R}^{reluctance} = \frac{F}{\Phi} = \frac{N \cdot i}{\Phi}</math>
+| <math> \mathfrak{R} = \frac{F}{\Phi} = \frac{N i}{\Phi}</math>
+|Reluctance
 |-
-| <math> I = \frac{V}{R} = G \cdot V </math> or <math>\overrightarrow{J} = \sigma \cdot \overrightarrow{E}</math>
+| <math> I = \frac{V}{R} = G V </math> or <math>\overrightarrow{J} = \sigma \overrightarrow{E}</math>
-| <math>\overrightarrow{B} = \mu \cdot H </math>
+| <math>\overrightarrow{B} = \mu H </math>
 | Assumes linearity - exceptions: Hysterisis loop, etc
 |}
+===References===
+<references/>

EMEC - Greg: Difference between revisions

Latest revision as of 14:17, 7 January 2010

Definitions

Analogies between Electric & Magnetic Circuits

References

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