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# Magnetic Circuits with Parallel Parts

A brief description of magnetic circuits with symmetrical, or asymmetrical, parallel parts

## Magnetic Circuits With Symmetrical Parallel Parts

Key facts

For a magnetic circuit with two symmetrical parallel parts, the total number of ampere-turns/meter is given by:

where is the number of ampere-turns/meter for the path of length , and so on.

For a magnetic circuit with two asymmetrical parallel parts, the total flux is given by:

where is the magnetic reluctance.

Consider the symmetrical magnetic circuit diagramed in Figure 1, where the path is of length and area , the path is of length and area , the path is of length and area , and so on.

In this case, we can write that the magnetic flux density for the path is:

We also consider the number of ampere-turns/meter for the path as being .

Following a similar reasoning, we can write that the magnetic flux density for the path is:

while the number of ampere-turns/meter is .

We can apply the same rationale for the other segments as well. We can thus write that the total number of ampere-turns/meter is:

As the circuit is symmetrical, it is easy to find out how the magnetic flux divides. For example, in Figure 1 the magnetic flux in the center is twice that in each side.

## Magnetic Circuits With Asymmetrical Parallel Parts

Consider the asymmetrical circuit diagramed in Figure 2.