What Is the Magnetic Force on a Current-Carrying Wire in Earth's Field?

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SUMMARY

The discussion focuses on calculating the magnetic force on a current-carrying wire in Earth's magnetic field. A horizontal power line carrying a current of 5000A from south to north is analyzed with Earth's magnetic field at 60.0 microT, inclined downward at an angle of 20 degrees to the horizontal. The magnetic force is determined using the formula F = iL x B, where the length of the wire is 100m. The correct angle for calculations is confirmed to be 20 degrees, resolving initial confusion regarding the use of sin(70).

PREREQUISITES
  • Understanding of the Lorentz force law (F = iL x B)
  • Knowledge of vector cross products
  • Familiarity with magnetic fields and their properties
  • Basic trigonometry, specifically sine functions
NEXT STEPS
  • Study the application of the Lorentz force in different contexts
  • Learn about vector cross products in physics
  • Explore Earth's magnetic field characteristics and measurements
  • Investigate the effects of current direction on magnetic force
USEFUL FOR

Physics students, electrical engineers, and anyone interested in electromagnetism and the behavior of current-carrying conductors in magnetic fields.

Andromeda321
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For the life of me I can't seem to get the right answer for this problem!
A horizontal power line carries a current of 5000A from south to north. Earth's magnetic field (60.0 microT) is directed toward the north and inclined downward at 70.0 degrees to the horizontal. Find the (a) magnitude and (b) direction of the magnetic force on the 100m of the line due to Earth's field.
So here's what I've been thinking so far: first off you're using F=iLxB here where your L vector's going to point in the j direction. By this point I've sufficiently confused myself to the point where I'm not sure if you need a sin(70) for the j direction or not... hmmmm. I'm pretty confident that I can cross the vectors alright which sort of implies I've messed up somewhere else, I'm thinking maybe my B vector...
Any advice would be appreciated. :smile:
 
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I'm not sure what L and i are, but yes, sin(70) will be useful.
 
Ah ok, figured out what I was doing wrong (it's supposed to be an angle of 20 degrees instead of 70... *bangs head*). So all's well that ends well.
 

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