When Can We Use the Right Hand Rule to Find Magnetic Field Direction?

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Discussion Overview

The discussion revolves around the application of the right-hand rule (RHR) for determining the direction of magnetic fields generated by electric currents in wires. Participants explore its applicability to both finite and infinite wires, the conditions under which it can be used, and the implications of wire geometry on its effectiveness.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants assert that the RHR works for both finite and infinite wires, while others question the applicability of the RHR to finite wires and the conditions necessary for current flow.
  • There is a discussion about whether the RHR can be used for any wire with current, with some suggesting that it may not apply to wires with non-symmetrical shapes.
  • Concerns are raised about the classification of a wire, including whether it needs to have a circular cross-section or be thin, and how to determine if a wire has a simple loop or complex geometry.
  • Some participants emphasize the importance of understanding the basic principles before applying the RHR to more complicated scenarios.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of the RHR to finite wires and wires with complex geometries. There is no consensus on the conditions under which the RHR can be universally applied.

Contextual Notes

Limitations include the ambiguity surrounding the definition of a "finite wire" and the assumptions about current flow in such wires. The discussion also highlights the need for a clear understanding of wire geometry to apply the RHR correctly.

Schfra
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When can we use the right hand rule to find the direction of a magnetic field from current?

I know that it works for an infinite wire. Does it work for a finite wire? Where does it work and not work?
 
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It works for both a finite and an infinite wire.
 
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Mister T said:
It works for both a finite and an infinite wire.
Does it apply just whenever we have a current?

And if it does work on an infinite wire does that mean that there is no magnetic field past either end of a finite wire with current running through it?
 
Schfra said:
Does it apply just whenever we have a current?

And if it does work on an infinite wire does that mean that there is no magnetic field past either end of a finite wire with current running through it?

Please note that the term "finite wire" needs to be taken with a grain of salt. You can't have current (at least, not steady current that are usually used in intro physics classes) in a finite wire. It needs to be closed somehow for there to be current flow.

The RHR is useful and can be easily used for a straight wire segment and also for a loop wire. You line up your thumb with something that you know is flowing straight, OR, you curl your fingers around something that you know is "curling".

This means that for a straight wire segment, current is flowing along the wire, so you line your thumb along it, and the curl of your fingers shows the direction of the magnetic field. For a loop of wire, you curl your fingers in the direction of the current flow in the loop of wire, and your thumb shows the direction of the magnetic field.

RHR is useful if you know how to use it properly.

Zz.
 
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ZapperZ said:
Please note that the term "finite wire" needs to be taken with a grain of salt. You can't have current (at least, not steady current that are usually used in intro physics classes) in a finite wire. It needs to be closed somehow for there to be current flow.

The RHR is useful and can be easily used for a straight wire segment and also for a loop wire. You line up your thumb with something that you know is flowing straight, OR, you curl your fingers around something that you know is "curling".

This means that for a straight wire segment, current is flowing along the wire, so you line your thumb along it, and the curl of your fingers shows the direction of the magnetic field. For a loop of wire, you curl your fingers in the direction of the current flow in the loop of wire, and your thumb shows the direction of the magnetic field.

RHR is useful if you know how to use it properly.

Zz.
So would it be correct to say whenever you have current through a wire, you can use the RHR to find the direction of the magnetic field around any given point on that wire? A wire being any circular conductor in this case. I suspect that we couldn’t apply the RHR to a wire with a non-symmetrical shape like the in the attached image (assuming the current is flowing out of the image).
 

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Schfra said:
So would it be correct to say whenever you have current through a wire, you can use the RHR to find the direction of the magnetic field around any given point on that wire? A wire being any circular conductor in this case. I suspect that we couldn’t apply the RHR to a wire with a non-symmetrical shape like the in the attached image (assuming the current is flowing out of the image).

If the wire is twisted and in some weird geometry, then you can't simply use the RHR, because this is no longer a straight wire.

Zz.
 
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ZapperZ said:
If the wire is twisted and in some weird geometry, then you can't simply use the RHR, because this is no longer a straight wire.

Zz.
But what classifies as a wire? Does it have to have circular cross sections, or does it have to be thin?

Also, how can I determine whether or not a wire is a loop or has weird geometry?
 
Schfra said:
But what classifies as a wire? Does it have to have circular cross sections, or does it have to be thin?

Are all these asked in your class?

Also, how can I determine whether or not a wire is a loop or has weird geometry?

Now c'mon. Are you telling me that you can't tell the difference between a simple loop and a weird geometry? Again, is this going to be relevant in your class?

If you intend to continue on studying physics, you will have plenty of opportunities to consider and look at many of these complicated situations. Unless you think you have already mastered the basic principle of this concept, I suggest you sharpen your knowledge and skills at solving and addressing the type of problems that are relevant at your level first.

Zz.
 
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ZapperZ said:
Are all these asked in your class?
Now c'mon. Are you telling me that you can't tell the difference between a simple loop and a weird geometry? Again, is this going to be relevant in your class?

If you intend to continue on studying physics, you will have plenty of opportunities to consider and look at many of these complicated situations. Unless you think you have already mastered the basic principle of this concept, I suggest you sharpen your knowledge and skills at solving and addressing the type of problems that are relevant at your level first.

Zz.
It’s not that these specific questions come up in class, but there are questions I’ve seen in class where I’m not sure if the RHR applies or not. I feel uncomfortable applying things like this if I don’t have at least a decent understanding of when they can be applied.

I’m not sure if simple loop means only a circular loop or if it’s more general than that.
 
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Schfra said:
It’s not that these specific questions come up in class, but there are questions I’ve seen in class where I’m not sure if the RHR applies or not. I feel uncomfortable applying things like this if I don’t have at least a decent understanding of when they can be applied.

Then attempt them, see if you got it right, and if you don't understand them, post your question in the HW/Coursework forum. Don't start making things up beyond the scope of what your level of education will cover.

I don't mind going beyond what you need to know, but you must already establish that you have the knowledge for what you should already know. This is not the case here.

Zz.
 
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