R.h. corkscrew rule, Electrical Engineering

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R.h. corkscrew rule

Note the direction of the flux is given by Maxwell's 'R.H. corkscrew rule' and that the flux lines are continuous
Applying  Ampere's  Law  to  a  concentric circular path inside the ring gives:

 


H.l=N.I

so

H=N.I/l

where l is the  length of the chosen path inside the former. (If  the   radius   of  the   former   is   large compared to the width, then l =2 .pi .r )

 

 

1389_R.H. corkscrew rule.png

Where ℜ=l/µµ0 is called  the reluctance of the magnetic path It has been written in this way to show the identical form of the equation to  current flowing in the conductor ie:

 

I=V/R

where   the   current   I   flows   through   a conductor of resistance R.

Hence the name 'magnetic circuit'

Here,    
Φ is analogous to current I
N.I is analogous to V
ℜ is analogous to R
 
The analogy is so strong that the product N.I is often referred to as the 'magnetomotive force' (m.m.f) in analogy with the electro-motive force (e.m.f. or voltage) and

 

2386_R.H. corkscrew rule 1.png

 

(σ = conductivity of the material).So we may write:
 
flux Φ =  m.m.f / circuit reluctance (Analogous to:  I = voltage/resistance in an electrical circuit).

Hence the flux flows more 'easily' through  a material with high µ material - i.e. it requires less m.m.f to produce a given flux in the material, just as current flows more easily through a high conductivity material. If an air gap were now introduced into the core,

 

2090_R.H. corkscrew rule 2.png


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