Series parallel magnetic circuit

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Discussion Overview

The discussion revolves around calculating the total reluctance in a magnetic series-parallel circuit that includes an air gap. Participants explore how to combine individual reluctances from the core and air gap to determine the total reluctance necessary for calculating current.

Discussion Character

  • Homework-related, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant expresses uncertainty about how to add the individual reluctances of the core and air gap to find the total reluctance needed for current calculation.
  • Another participant suggests that drawing the circuit may help clarify the configuration and emphasizes using the average flux path for calculations.
  • A later reply indicates that there should be three branches in parallel, with one branch containing both core reluctance and air gap reluctance.
  • Further clarification is provided regarding the calculation of reluctances using average flux path, total cross-sectional area, and average length.
  • Participants mention that the flux density in the gap can be used to compute additional necessary information for solving the problem.

Areas of Agreement / Disagreement

Participants generally agree on the need to use average values for calculations and the structure of the circuit, but there is no consensus on the exact method for combining reluctances, as the discussion involves varying interpretations and approaches.

Contextual Notes

There are limitations regarding the assumptions made about the circuit configuration and the definitions of reluctance used by participants. The discussion does not resolve the mathematical steps necessary for a complete solution.

Andymayers8
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Homework Statement


The attached figure shows a magnetic series parallel circuit with an air gap, what I'm not sure of is how to add the individual reluctances of the core and air gap to get the total reluctance required to calculate the current.

Homework Equations





The Attempt at a Solution


My attempt was that the first "complete" square of core is added in series and then the other 3 sides of the square and the air gap are all added in series then these two totals are added together in parallel? Is this correct?

Any help would be appreciated
 

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This is hard to agree on without drawing it out. However no one can draw it out.. maybe the best thing to do would be to draw out what you mean.

My advice would be to remember that you are using the average flux path.. so work 'in the middle' of the core and don't go 'completely to the ends'.

You should have three branches in parallel. One of the three branches should include a core reluctance and an air gap reluctance while one of the three pieces includes an MMF
 
Thanks for the reply, and I have calculated as you have said to the 'middle of the core'

Do you mean something like the attached picture?
 

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Yes now the reluctances are calculated using the average flux path. So use total cross sectional area but average length.

You are given enough information (the flux density in the gap) to compute a valuable piece of information that along with the individual reluctances, will get you to the answer
 
Ok thanks a lot for the help!
 
You are most welcome.
 

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