Mutual Inductance: Rectangle w/ Variable Height

In summary, the conversation discusses the difficulty of finding the mutual inductance of a shape with varying heights, with the suggestion of drawing the shapes and using paint or paper to better understand the problem. It also mentions the complexity of finding the inductance and how it is beyond the scope of an undergraduate course in electromagnetics.
  • #1
Ashley1nOnly
132
3

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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  • #2
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.
 
  • #3
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.
 

FAQ: Mutual Inductance: Rectangle w/ Variable Height

What is mutual inductance?

Mutual inductance is a measure of the ability of two nearby conductors to influence each other's electrical currents. It is a fundamental concept in electromagnetism, describing the relationship between two coils or conductors that are placed close to each other.

How is mutual inductance calculated for a rectangle with variable height?

The formula for mutual inductance between two rectangular coils with variable height is M = μ0N1N2A/h, where μ0 is the permeability of free space, N1 and N2 are the number of turns in each coil, A is the overlapping area between the two coils, and h is the distance between the two coils.

What factors affect mutual inductance in a rectangle with variable height?

The mutual inductance in a rectangle with variable height is affected by the number of turns in each coil, the distance between the two coils, and the overlapping area between the two coils. These factors can be adjusted to increase or decrease the mutual inductance between the two coils.

What is the significance of mutual inductance in practical applications?

Mutual inductance is a crucial concept in the design and operation of transformers and other electrical devices. It allows for the efficient transfer of energy between two coils without the need for direct electrical connections. Mutual inductance also plays a role in wireless power transfer and electromagnetic interference between nearby circuits.

How can mutual inductance be used to increase the efficiency of electrical systems?

By adjusting the number of turns, distance, and overlapping area between two coils, mutual inductance can be optimized to increase the efficiency of electrical systems. This can help reduce energy losses and improve the performance of devices such as transformers, motors, and generators.

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