When are Maxwell Equations Generally Used?

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Discussion Overview

The discussion revolves around the applications of Maxwell's equations in engineering tasks, particularly in the context of high-frequency components, antennas, and various electrical devices. Participants explore when it is appropriate to use Maxwell's equations versus simpler electrical laws.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants suggest that Maxwell's equations are used in building high-frequency components and antennas.
  • Others propose that Maxwell's equations apply to a wide range of devices, including transformers, coils, solenoids, electric motors, and microphones.
  • One participant argues that for many applications, simpler electrical laws like Ohm's Law, Thevenin's and Norton's Laws may suffice, indicating a potential boundary between conventional laws and Maxwell's equations.
  • A participant notes that while Maxwell's equations are fundamental, in practice, simpler derived equations are often used in transformer design and antenna design, where free-space Green's functions may be preferred.
  • It is mentioned that modern 3D software used for analysis typically solves Maxwell's equations numerically, but this process is often abstracted from the user.

Areas of Agreement / Disagreement

Participants express differing views on the necessity and practicality of using Maxwell's equations versus simpler electrical laws, indicating that multiple competing views remain in the discussion.

Contextual Notes

Some participants highlight that the choice between using Maxwell's equations and simpler laws may depend on the specific application and context, suggesting limitations in the general applicability of either approach.

solarblast
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See Subject. What engineering tasks do they regularly get used? Building high-frequency components, antennas?
 
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Yes.
 
I imagine Transformers, coils in a car , solenoids, sub stations. Electric motors. alternators, And there are lots more. Microphones, speakers any circuit or things that have to do with current or charge.
 
I would think for many purposes that common electrical laws would do just fine, Ohm's Law, Thevenin's and Norton's Laws. This is another way, perhaps, of recognizing the boundary between conventional laws and Maxwell's equations. I think his equations embody simpler notions, but using them there would be a waste. I'm thinking of something analogous to general relativity and Newton's laws.
 
solarblast said:
I would think for many purposes that common electrical laws would do just fine, Ohm's Law, Thevenin's and Norton's Laws. This is another way, perhaps, of recognizing the boundary between conventional laws and Maxwell's equations. I think his equations embody simpler notions, but using them there would be a waste. I'm thinking of something analogous to general relativity and Newton's laws.

You're right. Even in antenna design you more often use the free-space Green's function for radiation than Maxwell's equations directly. But you do use them directly especially when working in any material media.

In transformer design you have equations in the can that are based on or derived from Maxwell's equations but are easier to use.

The modern 3D software that analyzes any of these things numerically always solves Maxwell's equations but of course it's all under the hood.
 

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