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! Electric !!  Magnetic !! Notes
! 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
|-
|-
| <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
|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} = \overbrace{\Phi}^{phi} </math>
|Magnetic flux
|Magnetic flux
|-
|-
| <math> R = \frac{V}{I}</math>  
| <math> R = \frac{V}{I}</math>  
| <math> \overbrace{R}^{reluctance} = \frac{F}{\Phi} = \frac{N \cdot i}{\Phi}</math>
| <math> \overbrace{R}^{reluctance} = \frac{F}{\Phi} = \frac{N i}{\Phi}</math>
|-
|-
| <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
| Assumes linearity - exceptions: Hysterisis loop, etc
|}
|}

Revision as of 12:28, 7 January 2010

Definitions

Symbol Units Name
E VM Electric Field Intensity
D CM2 Electric Flux Density
H AM Magnetic Field Intensity
B T=WM2 Magnetic Flux Density

Analogies between Electric & Magnetic Circuits

Electric Magnetic Notes
V=Edl F=Hdl
nVn=0=Edl Hdl=Ni=nHl+Ni=0 Kirchoff's voltage law
nIn=0=SJdS BdS=0 Kirchoff's current law, The B-field has to go around in a loop
JdS=I BdS=Φphi Magnetic flux
R=VI Rreluctance=FΦ=NiΦ
I=VR=GV or J=σE B=μH Assumes linearity - exceptions: Hysterisis loop, etc