Using Maxwell's equations with realtime results

In summary, the conversation was about watching an explanation of Einstein Field equations and Maxwells equations on YouTube, and the lack of examples using actual data or practical applications. The speaker suggests looking for examples in textbooks or online resources such as MITOpenCourseware.
  • #1
profbuxton
56
24
I have spent a couple of hours watching an explanation of Einstein Field equations and Maxwells equations re EM on you tube. Found it very enlightening and interesting. Only thing was that when lecturer had screens full of equations never at any time did he actually show how to "plug in" actual data to see what the result would be or explain how these equations(Maxwells i.e) would be used by an engineer to work out a solution for a particular problem. Is there somewhere I could see these equations actually in use ?
 
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  • #2
profbuxton said:
watching an explanation of Einstein Field equations and Maxwells equations re EM...Is there somewhere I could see these equations actually in use ?
You may have just encountered the limits of YouTube videos as a learning tool...
For Maxwell's equations, any E&M textbook will have some worked examples and many more good examples in the exercises. The Einstein field equations are a different level of problem but https://arxiv.org/abs/gr-qc/9712019 will get you started.
 
  • #3

1. How do Maxwell's equations work in real time?

Maxwell's equations are a set of four partial differential equations that describe the behavior of electric and magnetic fields. In order to use these equations in real time, they must be solved numerically using computational methods. This allows for the simulation of electromagnetic phenomena in real time.

2. What types of problems can be solved using Maxwell's equations in real time?

Maxwell's equations can be used to solve a wide range of problems related to the behavior of electric and magnetic fields. This includes problems such as electromagnetic radiation, electromagnetic waves, and the behavior of charged particles in electric and magnetic fields.

3. Are there any limitations to using Maxwell's equations in real time?

While Maxwell's equations are a powerful tool for simulating electromagnetic phenomena in real time, there are some limitations to their use. These equations assume certain simplifications and idealizations, such as infinitely small point charges and perfect conductors. In some cases, these assumptions may not accurately represent real-world scenarios.

4. What software is available for using Maxwell's equations in real time?

There are a variety of software packages available for solving Maxwell's equations in real time. Some popular options include Finite Element Method (FEM) software, Finite Difference Time Domain (FDTD) software, and Boundary Element Method (BEM) software. Each of these methods has its own advantages and limitations, so the choice of software will depend on the specific problem being solved.

5. How can the results from using Maxwell's equations in real time be validated?

The results from using Maxwell's equations in real time can be validated by comparing them to experimental data or other simulations. Additionally, sensitivity analyses can be performed to assess the impact of different assumptions on the results. It is important to carefully validate the results to ensure they accurately represent the real-world scenario being simulated.

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