Importance of learning Physics II in the long run?

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SUMMARY

Learning Calculus-based Physics II, particularly concepts like electric potential (V), potential energy (U), electric flux, and capacitance, is essential for future studies in electrodynamics and quantum mechanics. A significant portion of electrodynamics relies on understanding potentials rather than directly applying Coulomb's Law, making these foundational concepts crucial. Developing a strong physical intuition is mandatory for success in theoretical physics, as it aids in critically evaluating complex calculations and results. Overall, mastering these concepts will provide a solid groundwork for advanced physics courses.

PREREQUISITES
  • Understanding of electric potential (V) and potential energy (U)
  • Familiarity with electric flux and capacitance
  • Basic knowledge of Coulomb's Law
  • Conceptual grasp of relativistic field theory
NEXT STEPS
  • Study the relationship between electric fields and potentials in electrodynamics
  • Explore the applications of capacitance in both theoretical and practical contexts
  • Learn about relativistic field theory and its implications in modern physics
  • Develop problem-solving skills in physics to enhance physical intuition
USEFUL FOR

Students in physics, particularly those pursuing theoretical physics, as well as educators and anyone interested in deepening their understanding of electromagnetism and its applications in advanced physics courses.

Nano-Passion
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I'm currently taking Calculus-based Physics II, an introductory to electromagnetism. While I'm working hard to understand the material as deeply and intuitively as possible, I wonder how much of the material will be useful later on? I am seeing a bunch of concepts such as electric potential V, potential energy U, electric flux, capacitance etc. but how much of what I am being introduced to will help in my understanding of future classes such as electrodynamics or quantum mechanics? How useful is it to learn everything introduced as intuitively as possible?
 
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Nano-Passion said:
I'm currently taking Calculus-based Physics II, an introductory to electromagnetism. While I'm working hard to understand the material as deeply and intuitively as possible, I wonder how much of the material will be useful later on? I am seeing a bunch of concepts such as electric potential V, potential energy U, electric flux, capacitance etc. but how much of what I am being introduced to will help in my understanding of future classes such as electrodynamics or quantum mechanics? How useful is it to learn everything introduced as intuitively as possible?

You should be trying to understand them as much as humanly possible. Is that a good enough response? Aka they're important.
 
Pengwuino said:
You should be trying to understand them as much as humanly possible. Is that a good enough response? Aka they're important.

So in other words, I will need pretty much most of these concepts for later classes?

I'm doing pretty much half the problems in the chapter, I was just hoping it would be to good use in later classes.
 
Nano-Passion said:
So in other words, I will need pretty much most of these concepts for later classes?

I'm doing pretty much half the problems in the chapter, I was just hoping it would be to good use in later classes.

Yes, a large portion of electrodynamics is finding potentials. It turns out that it is extremely difficult to find electric fields directly from Coulomb's Law for more than the most basic charge configurations. Potentials are much easier to work with. Electric flux is important along with capacitance as well, so learn the material.

Don't worry if you don't develop a fantastic intuition during this class. You will see this material again.
 
Pengwuino said:
Yes, a large portion of electrodynamics is finding potentials. It turns out that it is extremely difficult to find electric fields directly from Coulomb's Law for more than the most basic charge configurations. Potentials are much easier to work with. Electric flux is important along with capacitance as well, so learn the material.

Don't worry if you don't develop a fantastic intuition during this class. You will see this material again.

Hm, we just started a very small portion of capacitance; I would have thought that it would be useless for future classes and only helpful for engineering applications. Thanks for the insight. ^.^
 
There are different levels of understanding physics, and each one is important. Particularly to get also physics intuition is mandatory; particularly if you become a theorist. It is not very helpful to just do formally complicated calculations without any feeling for what's going on in the problem from a healthy physical intuition, because without it you can get easily lost in some complicated formalism with nonsensical or even plain wrong results, because either you have made physically unjustified assumptions or even made a mistake in your calculation. Then you need physical intuition to critically judge such results and perhaps be able to figure out mistakes!

Electromagnetism is very important not only from a practical point of view but also from a conceptional one since it's the most simple example of a relativistic field theory, and relativistic (quantum) field theory is the most fundamental model for a large part of nature (particles, matter, etc.).
 
vanhees71 said:
There are different levels of understanding physics, and each one is important. Particularly to get also physics intuition is mandatory; particularly if you become a theorist. It is not very helpful to just do formally complicated calculations without any feeling for what's going on in the problem from a healthy physical intuition, because without it you can get easily lost in some complicated formalism with nonsensical or even plain wrong results, because either you have made physically unjustified assumptions or even made a mistake in your calculation. Then you need physical intuition to critically judge such results and perhaps be able to figure out mistakes!

Electromagnetism is very important not only from a practical point of view but also from a conceptional one since it's the most simple example of a relativistic field theory, and relativistic (quantum) field theory is the most fundamental model for a large part of nature (particles, matter, etc.).

Thanks for the insight, any type of perspective is really appreciated. I've been getting more and more interested lately as I've been getting a feel of what it will be like being a physicist. I kind of imagine myself being a physicist as I try to solve a problem, so it motivates me to get as much of a conceptual understanding as possible; and actually.. its a lot of fun!

And yes, I'm planning on doing theory at the moment, only time can tell.
 

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