EMEC - Greg: Difference between revisions
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! Electric !! Magnetic !! Notes |
! Electric !! Magnetic !! Notes |
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| <math>V = \int \overrightarrow{E} |
| <math>V = \int \overrightarrow{E} \overrightarrow{dl}</math> |
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| <math>\overrightarrow{F} = \int \overrightarrow{H} |
| <math>\overrightarrow{F} = \int \overrightarrow{H} \overrightarrow{dl}</math> |
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| <math>\sum_{n} V_{n} = 0 = \oint \overrightarrow{E} |
| <math>\sum_{n} V_{n} = 0 = \oint \overrightarrow{E} \overrightarrow{dl}</math> |
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| <math>\oint \overrightarrow{H} |
| <math>\oint \overrightarrow{H} \overrightarrow{dl} = N i = \sum_{n} H l + N i = 0 </math> |
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|Kirchoff's voltage law |
|Kirchoff's voltage law |
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| <math>\sum_{n} I_{n} = 0 = \oint_{S} \overrightarrow{J} |
| <math>\sum_{n} I_{n} = 0 = \oint_{S} \overrightarrow{J} \overrightarrow{dS}</math> |
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| <math>\oint \overrightarrow{B} |
| <math>\oint \overrightarrow{B} \overrightarrow{dS} = 0 </math> |
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|Kirchoff's current law, The B-field has to go around in a loop |
|Kirchoff's current law, The B-field has to go around in a loop |
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| <math>\oint \overrightarrow{J} |
| <math>\oint \overrightarrow{J} \overrightarrow{dS} = I</math> |
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| <math>\int \overrightarrow{B} |
| <math>\int \overrightarrow{B} \overrightarrow{dS} = \overbrace{\Phi}^{phi} </math> |
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|Magnetic flux |
|Magnetic flux |
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| <math> R = \frac{V}{I}</math> |
| <math> R = \frac{V}{I}</math> |
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| <math> \overbrace{R}^{reluctance} = \frac{F}{\Phi} = \frac{N |
| <math> \overbrace{R}^{reluctance} = \frac{F}{\Phi} = \frac{N i}{\Phi}</math> |
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| <math> I = \frac{V}{R} = G |
| <math> I = \frac{V}{R} = G V </math> or <math>\overrightarrow{J} = \sigma \overrightarrow{E}</math> |
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| <math>\overrightarrow{B} = \mu |
| <math>\overrightarrow{B} = \mu H </math> |
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| Assumes linearity - exceptions: Hysterisis loop, etc |
| Assumes linearity - exceptions: Hysterisis loop, etc |
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Revision as of 11:28, 7 January 2010
Definitions
Symbol | Units | Name |
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Electric Field Intensity | ||
Electric Flux Density | ||
Magnetic Field Intensity | ||
Magnetic Flux Density |
Analogies between Electric & Magnetic Circuits
Electric | Magnetic | Notes |
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Kirchoff's voltage law | ||
Kirchoff's current law, The B-field has to go around in a loop | ||
Magnetic flux | ||
or | Assumes linearity - exceptions: Hysterisis loop, etc |