EMEC - Greg: Difference between revisions

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| <math>V = \int \overrightarrow{E} \cdot \overrightarrow{dl}</math>|| <math>\overrightarrow{F} = \int \overrightarrow{H} \cdot \overrightarrow{dl}</math>
| <math>V = \int \overrightarrow{E} \cdot \overrightarrow{dl}</math>|| <math>\overrightarrow{F} = \int \overrightarrow{H} \cdot \overrightarrow{dl}</math>
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| <math>\sum_{n} V_{n} = 0 = \oint \overrightarrow{E} \cdot \overrightarrow{dl}</math>|| <math>\sum_{n} H \cdot \overrightarrow{dl} = N \cdot i = \oint \overrightarrow{E} \cdot \overrightarrow{dl}</math>
| <math>\sum_{n} V_{n} = 0 = \oint \overrightarrow{E} \cdot \overrightarrow{dl}</math> Kirchoff's voltage law|| <math>\oint \overrightarrow{H} \cdot \overrightarrow{dl} = N \cdot i = \sum_{n} H \cdot l + N \cdot i = 0 </math>
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| <math>\overrightarrow{H}</math>|| <math>\frac{A}{M}</math>
| <math>\sum_{n} I_{n} = 0 = \oint_{S} \overrightarrow{J} \cdot \overrightarrow{dS}</math> Kirchoff's current law|| <math>\oint \overrightarrow{B} \cdot \overrightarrow{dS} = 0 </math> The B-field has to go around in a loop
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| <math>\overrightarrow{B}</math>|| <math>T = \frac{W}{M^2}</math>
| <math>\oint \overrightarrow{J} \cdot \overrightarrow{dS} = I</math> || <math>\int \overrightarrow{B} \cdot \overrightarrow{dS} = \overbrace{\Phi}^{phi} </math> Magnetic flux
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| <math> R = \frac{V}{I}</math> || <math> \overbrace{R}^{reluctance} = \frac{F}{\Phi} = \frac{N \cdot i}{\Phi}</math>
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| <math> I = \frac{V}{R} = G \cdot V </math> or <math>\overrightarrow{J} = \sigma \cdot \overrightarrow{E}</math> || <math>\overrightarrow{B} = \mu \cdot H </math> assumed linearity (though it's not always the case - think hysteresis loop
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Revision as of 11:52, 6 January 2010

Definitions

Symbol Units Name
Electric Field Intensity
Electric Flux Density
Magnetic Field Intensity
Magnetic Flux Density

Analogies between Electric & Magnetic Circuits

Electric Magnetic
Kirchoff's voltage law
Kirchoff's current law The B-field has to go around in a loop
Magnetic flux
or assumed linearity (though it's not always the case - think hysteresis loop