Magnetic Force on High Voltage Power Line: Calculate Direction & Magnitude

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SUMMARY

The discussion focuses on calculating the magnetic force exerted on a high voltage power line carrying a current of 110 A in the presence of the Earth's magnetic field, which has a magnitude of 0.59 G and points 72 degrees below the horizontal. The magnetic force formula used is F = ILB SinX, where L is the length of the wire (250 m). The user attempts to calculate the force but questions the correctness of their approach, particularly regarding the angle used in the calculation. The consensus is to break the magnetic field into components for accurate results.

PREREQUISITES
  • Understanding of magnetic force calculations using F = ILB SinX
  • Knowledge of vector decomposition for magnetic fields
  • Familiarity with the Earth's magnetic field characteristics
  • Basic principles of electromagnetism
NEXT STEPS
  • Study vector decomposition techniques for magnetic fields
  • Learn about the right-hand rule for determining magnetic force direction
  • Explore the effects of varying current and magnetic field strength on force
  • Investigate the implications of magnetic forces in power line engineering
USEFUL FOR

Physics students, electrical engineers, and professionals involved in power line design and analysis will benefit from this discussion.

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Homework Statement



A high voltage power line carries a current of 110 A at a location where the Earth's magnetic field has a magnitude of .59 G and points to the north, 72 degrees below the horizontal. find the direction and magnitude of the magnetic force exerted on a 250-m lengh of wire if the current in the wire flows (A) horizontally toward the east (B) horizontally toward the south.

Homework Equations



F= ILB SinX

The Attempt at a Solution


I= 110A B= .59 x 10^(-4) L=250

F= (110)(250)(.59 x 10^(-4))(sin -72)
F= -1.543
Is it correct or not! i need to know the answer. can someone please help me.
 
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I think you should break the magnetic field into components becasue 72 degree is not the angle between ILXB.
 
how should i break it down?
 

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