Inductive Reactance of Solenoid with Solid Metal Core With respect to frquency

  • Context: High School 
  • Thread starter Thread starter StoyanNikolov
  • Start date Start date
  • Tags Tags
    Electomagnetic
Click For Summary
SUMMARY

The discussion centers on the inductive reactance of a solenoid with a solid metal core, specifically aluminum or copper, and its behavior as frequency increases. It is established that while the ideal inductance remains constant, the impedance, which includes inductive reactance, increases linearly with frequency. The presence of a conductive but non-magnetic core reduces the effective area of the inductor, leading to a slight decrease in inductance as frequency rises. Additionally, eddy currents generated in the core contribute to heating effects, particularly relevant in applications like induction furnaces.

PREREQUISITES
  • Understanding of inductive reactance and impedance in electrical circuits
  • Familiarity with the concepts of eddy currents and skin depth
  • Knowledge of complex impedances and their role in AC circuits
  • Basic principles of electromagnetism and solenoid operation
NEXT STEPS
  • Research the effects of frequency on inductive reactance in solenoids
  • Study the role of eddy currents in conductive materials at varying frequencies
  • Explore the concept of skin depth and its implications in AC applications
  • Learn about the design and operation of induction furnaces and their components
USEFUL FOR

Electrical engineers, physics students, and professionals involved in designing inductive components or systems, particularly those working with solenoids and induction heating technologies.

StoyanNikolov
Messages
50
Reaction score
0
TL;DR
inductive Reactance of Solenoid with Solid Metal Core With respect to frquency
Hi. Consider the Solenoid/Inductor Like one the Picture. There is Air gap between the coil and inserted solid metal.

Hi. Consider the Solenoid/Inductor Like one the Picture. There is Air gap between the coil and inserted solid metal. The solid metal is from Aluminum or Copper (Both have relative magnetic permeability , close to 1 regardless of temperature).

What will happen with inductive reactance of the given Solenoid if we increase the frequency of the applied voltage.

Thank you.

1705257519096.png
 
Last edited:
Physics news on Phys.org
I think we need some more information from you about your question. Primarily what is your background knowledge of this sort of thing. Maybe a more detailed question.

For example, do you understand that an ideal inductance value does not depend on frequency, but it's impedance does. Do you know about complex impedances? Are you asking about the frequency dependance of the iron core behavior (permeability, losses, etc.)? Do you know that the impedance of real inductors includes some capacitive effects (between wire turns, for example) and losses?

I can't tell if you question is basic, about ideal component models, or a really difficult question about core material properties.

Khan academy has some good tutorials about basic electronics.
https://www.khanacademy.org/science...charging/v/what-are-inductors-self-inductance

https://www.khanacademy.org/science...-and-forced-response/a/wmc-inductor-in-action
 
It is basic/general question about inductive reactance about the shown on the Picture Solenoid with Solid Metal Core.

I think the reactance will increase. I am asking just for verification.

Considering Eddy currents
 
That looks to me to be like an induction furnace, with a charge of non-magnetic metal as the core. The eddy currents in the surface of the core will heat it to the skin depth. The interior of the core will be heated by conduction.

StoyanNikolov said:
I think the reactance will increase. I am asking just for verification.
Because the effective area of the inductor, is reduced by the conductive, (but non-magnetic core), the inductance will be reduced by the presence of the core relative to air. The dimensions of the core relative to the skin depth will be an important parameter. As the frequency is raised, there will be a small reduction in the inductance.
 
Baluncore said:
That looks to me to be like an induction furnace, with a charge of non-magnetic metal as the core. The eddy currents in the surface of the core will heat it to the skin depth. The interior of the core will be heated by conduction.Because the effective area of the inductor, is reduced by the conductive, (but non-magnetic core), the inductance will be reduced by the presence of the core relative to air. The dimensions of the core relative to the skin depth will be an important parameter. As the frequency is raised, there will be a small reduction in the inductance.
Thanks. So the Inductive Reactance will Increase as a result of increased Frequency
so
 
StoyanNikolov said:
I think the reactance will increase. I am asking just for verification.
Yes, the reactance of an inductor (with constant inductance) increases linearly with frequency.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 43 ·
2
Replies
43
Views
7K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 42 ·
2
Replies
42
Views
3K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 17 ·
Replies
17
Views
2K
  • · Replies 5 ·
Replies
5
Views
18K
  • · Replies 9 ·
Replies
9
Views
2K