Magnetic Circuit

The closed path followed by magnetic lines of forces is called the magnetic circuit. In the magnetic circuit, magnetic flux or magnetic lines of force starts from a point and ends at the same point after completing its path.

Flux is generated by magnets, it can be a permanent magnet or electromagnets.

A magnetic circuit is made up of magnetic materials having high permeability such as iron, soft steel, etc. Magnetic circuits are used in various devices like electric motor, transformers, relays, generators galvanometer, etc.

Consider a solenoid having N turns wound on an iron core. The magnetic flux of ø Weber sets up in the core when the current of I ampere is passed through a solenoid.

Magnetic-circuit

Let, l = mean length of the magnetic circuit
A = cross-sectional area of the core
µr =  relative permeability of the core
Now the flux density in the core material

mag-ckt-eq-1Magnetising force in the core
magnetic-ckt-3-According to work law, the work done in moving a unit pole once round the magnetic circuit is equal to the ampere-turns enclosed by the magnetic circuit.
mag-ckt eq 2
The above equation explains the following points:

  1. Directly proportional to the number of turns (N) and current (I).
    It shows that the flux increase if the number of turns or current increases and decreases when either of the two quantity decreases. NI is the magnetomotive force (MMF).
  2. Inversely proportional to l/a µ0µr, where (l/a µ0µr) is known as reluctance. The lower the reluctance, the higher will be the flux and vice- verse.

1 Comment

  1. Matthew Hull Reply

    I know that there are a lot of similarities between magnetic circuits and standard circuits, one of which is the analogy between MMF and EMF etc. Additionally, Ohm’s Law translates into magnetic circuits:

    V=IR ==> F=ΦR

    Can power can be calculated by making the same substitutions? Can I say:

    P=IV ==> P=ΦF ??

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