Two parallel lines with current

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Homework Help Overview

The problem involves two long parallel wires separated by a distance and carrying different currents. Participants are discussing the forces acting on one of the wires due to the magnetic field created by the other wire.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to determine the direction of the force on wire #2 and are using the right hand rule to analyze the magnetic field and forces involved. There is uncertainty about the application of these concepts and the resulting directions.

Discussion Status

Some participants have provided insights into using the right hand rule and Newton's third law to understand the forces between the wires. There is an ongoing exploration of the magnetic field's direction and its effects on wire #2, with no explicit consensus reached yet.

Contextual Notes

Participants are grappling with the interpretation of the magnetic field directions and the forces involved, indicating a need for clarity on the application of the Lorentz force equation and the right hand rule. There is also mention of visualizing the problem from different perspectives to aid understanding.

carrotcake10
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Homework Statement


http://img294.imageshack.us/img294/3157/lines.gif

Two long parallel wires are separated by 0.2 meters and carry currents of 3 and 5 amps as shown in the figure. What can we say about the force on wire #2?

There is no force on wire #2

The force on wire #2 is towards wire #1

The force on wire #2 is away from wire #1

The force on wire #2 is into the page

The force on #2 is out of the page

There is no force on #2 but there is a torque.

The Attempt at a Solution



I believe that wire #2 has a stronger force on it, but I don't quite know what direction it would be in. Trying to use the right hand rule, i believe it is in the -k direction, but am unsure. I just for some reason don't feel entirely confident.

Any help is gratefully appreciated!
 
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You must look at the diagram sideways, with the two currents coming right toward your eye. IF it is conventional positive current, use the right hand rule around wire 1 to see which way the magnetic field circles around the wire (counterclockwise). Draw or imagine a series of circular B lines around wire 1, including one that touches wire 2. B is tangent to the circle so it is to the right at I2, which is located below I1. Use the other right hand rule to determine the direction of the force when I is out, B to the right.

The force on wire 2 has to be equal and opposite to the force on wire 1 by Newton's 3rd Law.
 
carrotcake10 said:
I believe that wire #2 has a stronger force on it, but I don't quite know what direction it would be in. Trying to use the right hand rule, i believe it is in the -k direction, but am unsure. I just for some reason don't feel entirely confident.

Any help is gratefully appreciated!

Leaving aside that Newtons Laws of action reaction might have something to say about that. that's not a choice.

How would you apply the Lorentz force equation?

http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html#c1

http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magcur.html#c1
 
Both of you thank you for your replies. Delphi, I hadn't though of looking at it that way, but is that just to make it seem easier? I don't really get lost with directions in my head.

Lowly, using a combination of those two links (good info btw), I feel like r = +i, and B = +k, which would cross into -j. Is that right? Am I grasping this concept ok? From the first link, I understand that the field is going into wire 2 from the direction of my wrapped fingers.

Edit: I just figured that since the field from wire 1 would actually come down on top of wire two, causing a resultant in the negative k direction. Would this be right? Does the field spiral away from wire 1?
 
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