Solving Electromagnetism problems in 3 dimensions

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Understanding electromagnetism problems in three dimensions can be challenging, particularly when transitioning from the xy-plane to the z-axis. It's noted that problems involving currents in a loop in the xy-plane cannot directly translate to a scenario with currents only in the z-axis, as dimensionality must be consistent. Re-labeling axes can help visualize problems better, allowing for a return to a familiar configuration. For effective assistance, it's recommended to share specific problem details in a dedicated forum for targeted help. Mastering vector calculus concepts like divergence, gradient, and curl is also essential for tackling these complex 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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