Solving Electromagnetism problems in 3 dimensions

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Discussion Overview

The discussion revolves around challenges faced in solving electromagnetism problems in three dimensions, particularly when transitioning from problems defined in the xy-plane to those involving the z-axis. Participants explore concepts and mathematical tools that may aid in understanding these problems.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant expresses difficulty in visualizing and solving electromagnetism problems when currents are defined in the z-axis, contrasting this with their understanding of similar problems in the xy-axis.
  • Another participant suggests that the coordinate axes can be renamed without affecting the physics, as long as the handedness of the cross product is maintained.
  • A third participant questions the validity of transitioning from a problem with current in a loop in the xy-plane to one with current only in the z-axis, arguing that such a transition is not feasible.
  • There is a suggestion that the original poster should provide a specific problem for more targeted assistance, indicating that the current discussion lacks clarity without concrete examples.
  • One participant recommends learning vector calculus, including concepts like divergence, gradient, and curl, as a foundational tool for tackling these electromagnetism problems.

Areas of Agreement / Disagreement

Participants do not reach a consensus; there are competing views on the nature of the problems being discussed and the appropriate methods to approach them. The discussion remains unresolved regarding the specific challenges faced by the original poster.

Contextual Notes

There is a lack of specific examples from the original poster, which limits the ability to provide tailored advice. The discussion also highlights potential misunderstandings regarding the dimensionality of electromagnetism problems.

Physicslearner500039
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i am able to understand problems and solve electromagnetism problems, if the currents are given to be flowing in wires and circle loops in the xy axis. But if they provide similar problems in z axis i am finding it difficult to imagine and do the calculations. My question is any simple concepts available to understand? Please advise. Thank you.
 
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You can change the names of the coordinate axes as you want without changing anything, provided you remember to keep the "handedness" of the cross product ##\mathbf{v}\times \mathbf{B}## the same as in the original xyz coordinate system.
 
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Physicslearner500039 said:
Summary:: Simplifying problems in 3 axis

i am able to understand problems and solve electromagnetism problems, if the currents are given to be flowing in wires and circle loops in the xy axis. But if they provide similar problems in z axis i am finding it difficult to imagine and do the calculations. My question is any simple concepts available to understand? Please advise. Thank you.

This is vague, and strange. First of all, if the current is in a loop in the x-y plane, it is impossible for there to be a similar problem that has current ONLY in the z-axis. It must be in the zy-plane or zy-plane. You can't go from 2D to 1D and expect it to be the same problem.

Secondly, if you are given the loop in the xz-plane, for example, what is to prevent you from re-labeling the axes so that you get back the xy-plane configuration that you claimed that you have understood?

My guess is that you are referring to a specific problem that you have encountered (and something we are not privy to). Without seeing this specific problem, all we have are vague interpretation of that problem. My suggestion is for you to post this problem in the HW forum, and clearly show what you have attempted, and what exactly you are confused with. Only then can we actually give specific (and probably beneficial) help to get you to figure out how to do such a problem.

Zz.
 
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What helps a lot is to learn the appropriate mathematics, called vector calculus (div, grad, curl as well as line, surface and volume integrals) first. The good thing is that it's a very fascinating subject in itself!
 
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