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Force on wire due to magnetic field

by nickclarson
Tags: field, force, magnetic, wire
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nickclarson
#1
Apr30-09, 10:54 AM
nickclarson's Avatar
P: 32
1. The problem statement, all variables and given/known data

A straight segment of a current-carrying wire has a current element IL where I = 2.70 A and L = 2.60 cm i + 4.40 cm j. The segment is in a region with a uniform magnetic field given by 1.36 T i. Find the force on the segment of wire. (Give the x, y, and z components.)

2. Relevant equations

[tex]\theta = tan^{-1}(y/x)[/tex]

[tex]F = ILBsin\theta[/tex]

3. The attempt at a solution

Well I am pretty sure there will be no x or y component because the force will be perpendicular in the z direction.

To find the z component I found the angle between the wire and the mag field using:

[tex]tan^{-1}(4.4/2.6) = 59.421[/tex]

After that I thought you are just supposed to plug everything in:

[tex]2.7A * .05111m * 1.36 * sin(59.421) = .1615N[/tex]

But it's wrong!! I'm not sure what I am doing wrong, the book I am using isn't very good ad explaining. I'm sure it's something simple that I am just overlooking.

Thanks,
Nick
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
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nickclarson
#2
Apr30-09, 10:56 AM
nickclarson's Avatar
P: 32
CANCEL that. I just had the wrong sign. I understand why it should be negative now. This thread can be deleted.


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