Calculating Magnetic Force on a Wire in Earth's Magnetic Field at 40 Degrees

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To calculate the magnetic force on a wire in Earth's magnetic field, the equation F=ILBsinθ is used, where I is the current, L is the length of the wire, B is the magnetic field strength, and θ is the angle between the wire and the magnetic field. In this case, a 1.5-meter wire carrying 6.5 A of current is subjected to a magnetic field of 5.5*10^-5 T at a 40-degree angle. The initial calculation resulted in F=3.45*10^-4, but the expected answer is F=2.9*10^-4. There is uncertainty about the accuracy of the provided "correct" answer, leading to frustration over potential calculation errors. Clarification on the correct methodology or values is needed to resolve the discrepancy.
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" A 1.5-m length of wire carrying 6.5 A of current is oriented horizontally. At that point on the Earth's surface, the dip angle of the Earth's magnetic field makes an angle of 40 degrees to the wire. Estimate the magnetic force on the wire due to the Earth's magnetic field of 5.5*10^-5 T at this point."
I'm sure it's very easy but this is the first day I've worked with this stuff so I can't figure out why I'm getting it wrong. I used the equation F=ILBsinθ so; F=(6.5A)(1.5m)(5.5*10^-5)sin40, which gives F=3.45*10^-4. However I checked and the correct answer is, F=2.9*10^-4. Please someone tell me what I'm doing wrong. Thanks in advance.
 
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Um, I think you're right. Either that or we've both made the same mistake. How confident are you that the "correct" answer is correct?
 
Boy is it a pain to get wrong correct answers. I now feel dumb for trying so hard to get the stupid thing "right"

-Del
 

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