Force on wire due to magnetic field

AI Thread Summary
A current-carrying wire segment with a current of 2.70 A and length components in the i and j directions is placed in a uniform magnetic field of 1.36 T in the i direction. The force on the wire is calculated using the formula F = ILBsinθ, where θ is the angle between the wire and the magnetic field. Initially, the user believed there would be no x or y components, expecting the force to act in the z direction. After calculating the angle and force, the user realized they had a sign error in their calculation. The user has since corrected the mistake and no longer requires assistance.
nickclarson
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Homework Statement



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.)

Homework Equations



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

F = ILBsin\theta

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:

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

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

2.7A * .05111m * 1.36 * sin(59.421) = .1615N

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
 
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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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