Mutual Inductance: Rectangle w/ Variable Height

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SUMMARY

The discussion centers on calculating the mutual inductance of a rectangular shape with variable height, specifically where one side increases in height at the midpoint (L/2). Participants suggest that the inductance of each square can be determined individually and then summed to find the total inductance of the shape. However, they emphasize that finding the inductance of single-turn loops or coils is complex and often requires approximations, influenced by factors such as wire diameter and loop dimensions, making it a challenging topic even for undergraduate electromagnetics students.

PREREQUISITES
  • Understanding of mutual inductance concepts
  • Familiarity with electromagnetic theory
  • Knowledge of inductance calculations for loops and coils
  • Basic skills in drawing geometric shapes for analysis
NEXT STEPS
  • Research methods for calculating mutual inductance in irregular shapes
  • Study the principles of electromagnetic field theory
  • Learn about approximations in inductance calculations for coils
  • Explore software tools for visualizing electromagnetic fields and inductance
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This discussion is beneficial for physics students, electrical engineers, and anyone involved in electromagnetic analysis, particularly those tackling complex inductance problems in irregular geometries.

Ashley1nOnly
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Homework Statement


I have a shape that is basically a rectangle but one side increase in height(shape length is L and it increases height at L/2). Which leaves me with two squares of different heights. Can I find the mutual inductance of each square and then add them up to find the inductance of the entire shape?

Homework Equations


It's just a question.

The Attempt at a Solution


Trying to get a better understanding on how to start the problem[/B]
 
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Could you draw the shapes and upload it here? Maybe you can use paint or you can draw it on paper and upload its image.
 
Finding the inductance of single-turn loops or coils is extremely difficult, is always an approximation, depends on the wire diameter as well as loop dimensions, and is well beyond the scope of even an undergraduate course in electromagnetics.
 

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