When are Maxwell Equations Generally Used?

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Maxwell's equations are primarily used in engineering tasks involving high-frequency components, antennas, transformers, electric motors, and various devices that handle current or charge, such as microphones and speakers. While these equations provide a comprehensive framework, simpler electrical laws like Ohm's Law and Thevenin's and Norton's Laws are often sufficient for many applications. In antenna design, for instance, engineers frequently rely on free-space Green's functions rather than applying Maxwell's equations directly. However, in materials science and transformer design, Maxwell's equations play a crucial role, often being simplified for practical use. Modern 3D software for analyzing electromagnetic systems typically solves Maxwell's equations numerically, although this process is often hidden from the user.
solarblast
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See Subject. What engineering tasks do they regularly get used? Building high-frequency components, antennas?
 
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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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