Can the Equation DB/dt = -curl E Help Solve Real-Life Problems?

  • Context: Undergrad 
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Discussion Overview

The discussion revolves around the equation dB/dt = -curl E and its applicability to real-life problems. Participants explore its theoretical implications, practical uses, and connections to other equations in electromagnetism, particularly in the context of Maxwell's equations.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants express curiosity about how to apply the equation dB/dt = -curl E to real-life problems.
  • Others argue that while the equation is interesting, it may not have direct practical applications without integration over a surface to yield Faraday's Law.
  • A participant suggests that combining this equation with dE/dt = curl B relates to light, prompting a debate about whether light constitutes a real-life problem.
  • One participant questions the appropriateness of joking about the significance of the equation in practical contexts.
  • Another participant highlights that many equations like this cannot be solved analytically in real-life scenarios, particularly in the design of waveguides and RF structures, where numerical methods are often employed.
  • There is an appreciation for the beauty of the equation, suggesting it serves as 'mind food' rather than a direct computational tool.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the practical utility of the equation. While some acknowledge its theoretical significance, others question its relevance to everyday computations and express differing views on its application.

Contextual Notes

Some participants note that the equation's analytical solutions are often not feasible in practical applications, indicating a reliance on numerical methods in certain contexts.

delta001
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dB/dt = -curl E

The change in the magnetic field over time is equal to the negative curl of the electric field. Interesting. How do I use it to solve a real life problem?
 
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delta001 said:
dB/dt = -curl E
The change in the magnetic field over time is equal to the negative curl of the electric field. Interesting. How do I use it to solve a real life problem?

In this differential form, I think that it is of no use in any practical problems. But if you take a surface and integrate this formula over the surface, you will get the Faraday's Law, which powers your PC and lights yours lamps.
 
Combine it with dE/dt = curl B and it powers your eyes.
 
Mentz114 said:
Combine it with dE/dt = curl B and it powers your eyes.
Is light a real life problem?
 
lpfr said:
Is light a real life problem?


no it's a fake life problem. what do you mean?
 
I mean that you should answer at the question posted and this at an adequate level. delta001 can probably solve problems using the Faraday's Law. But, even when you work with light, do you use dB/dt = -curl E ? No, you don't and neither delta001 (neither me).
This is the reason why I found your post inappropriate.
 
I was joking. But what is the motive for the OP's question ?

Does Delta001 think that this fact is not worth knowing, simply because it's not used in everyday computations ? It is, after all one of Maxwell's equations.
 
Mentz114 said:
I was joking. But what is the motive for the OP's question ?

Does Delta001 think that this fact is not worth knowing, simply because it's not used in everyday computations ? It is, after all one of Maxwell's equations.

You semi-presume much of me. My motives are what I originally asked. I am generally curious about how to use it, nothing else.
 
delta001 said:
You semi-presume much of me. My motives are what I originally asked. I am generally curious about how to use it, nothing else.

1. Why did you call it "MHD equation"? Is "Maxwell Equations" out of fashion already?

2. In "real life", most of these type of equation cannot be solve analytically. In the design of waveguides and RF structures, for example, we use this and other coupled equations that we solve numerically. So when you look at some radio transmitter or antenna, those are a few examples where that equation has been used and solved.

Zz.
 
  • #10
Delta001, you are right, it was wrong to infer a dark motive. Peace.

But that equation, in context tells us a lot about the EM field, and should be used as 'mind food' rather than as a computational aid.

I just admire its beauty.
 

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