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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 continuousApplying 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 )
Where ℜ=l/µµ0 A 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 IN.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
(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,
Compound motor It is possible to arrange for part of the field coil to be in series with the armature and part in parallel This gives rise to a motor with a mix
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