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

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SUMMARY

The discussion centers on calculating the magnetic force on a wire in Earth's magnetic field using the formula F=ILBsinθ. A 1.5-meter wire carrying a current of 6.5 A is positioned at a 40-degree angle to the magnetic field, which has a strength of 5.5 x 10^-5 T. The initial calculation yielded a force of 3.45 x 10^-4 N, while the correct answer is 2.9 x 10^-4 N. The discrepancy highlights the importance of accurately applying the sine function in the equation.

PREREQUISITES
  • Understanding of magnetic force calculations
  • Familiarity with the formula F=ILBsinθ
  • Knowledge of Earth's magnetic field properties
  • Basic trigonometry, specifically sine functions
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  • Review the application of the sine function in physics problems
  • Study the effects of angle on magnetic force calculations
  • Explore variations in Earth's magnetic field strength
  • Learn about practical applications of magnetic force in engineering
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Students in physics, educators teaching electromagnetism, and engineers working with magnetic systems will benefit from this discussion.

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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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