Direction of Magnetic Force on a Wire: Deciphering Diagrams 1-4

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Homework Help Overview

The discussion revolves around determining the direction of the magnetic force on a wire based on various diagrams. The subject area involves concepts from electromagnetism, specifically the application of the right-hand rule to analyze forces on current-carrying conductors in magnetic fields.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the application of the right-hand rule to determine the direction of the magnetic force for each diagram. There are attempts to clarify the positioning of the hand and the relationship between current and magnetic field directions. Some participants express uncertainty about specific diagrams and the implications of parallel currents.

Discussion Status

The conversation includes various interpretations of the diagrams, with some participants questioning their own reasoning and seeking clarification. One participant has indicated a resolution to their confusion, while others continue to explore their understanding of the right-hand rule and its application to the diagrams.

Contextual Notes

There is mention of potential confusion regarding the angles at which the magnetic field interacts with the wire in certain diagrams. Participants are encouraged to show their work to identify mistakes and clarify their reasoning.

choco_moo
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Homework Statement


Decide from the following list of possibilities what is the appropriate direction of the force on the wire for each of the diagrams 1 through 4:
A up
B down
C left
D right
E into the page
F out of the page
G None of these
H No force

Diagram 1
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Diagram 2
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Diagram 3
2i23bbd.gif


Diagram 4
2eolj0z.gif



Homework Equations


F = IL x B


The Attempt at a Solution


I tried using the right hand rule for this. Is it correct that the fingers point in the same direction as the current, thumb in the direction of B and F is the direction the fingers curl? For diagram 1 and 3, I don't get how I'm supposed to position my hand. For diagram 2, I said there is no force because I and B are parallel and going in opposite directions. For diagram 4, is B pointing out of the page? I said that F is up but I'm not 100% sure.
 
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The right-hand rule I use is as follows:

For \vec A \times \vec B = \vec C
Lay the side of your palm on the table for A, curl your fingers in the direction of B, and your thumb will point in the direction of C.

For the case of \frac{\vec F}{I}=\vec \ell \times \vec B
The side of your palm is in the direction of the current, your fingers curl in the direction of the B-field, and the force is given by the direction of the thumb.

For the magnetic field produced by a current carrying wire (This question does not refer to this at all! So don't get confused. :)), point your thumb in the direction of the current, and your fingers will curl along the B-field lines.

This image below should help clear things up. It gives three examples. The first is for determining the magnetic field in the vicinity of a current-carrying wire, the second for the force on a current-carrying wire in an external field and the third for a free particle moving under the influence of an external field (Note that here charge matters!)
http://www.uwsp.edu/physastr/kmenning/images/gc6.20.T1.gif
 
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That sort of helps so is this how it goes?
diagram 1 = out of the page
diagram 2 = down
diagram 3 = up
diagram 4 = right
 
No, none of those are correct. Please show your work and we'll see where you went wrong so we know how to avoid that mistake again. :)
 
For each one, I used the right hand rule. I placed the side of my palm in the direction of I, then I curled my fingers in the direction of B and then the direction my thumb was in was F. I was probably wrong on all of them because I just don't know how my fingers are supposed to curl at the same angle B makes with the wire (like in 1 and 3). And I'm still not totally sure what direction B is in diagram 4.
 
Nevermind, I got it. It goes EHFB. My hand just wasn't working right.
 

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