How Does Current and Magnetic Field Affect the Force on a Power Line?

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SUMMARY

The discussion focuses on calculating the force acting on a power line located along the Earth's equator, where the magnetic flux density (B) is 50 x 10-6T and the current (I) is 500A flowing from west to east. The relevant equations include F = ILB sin(θ) for force calculation and the right-hand rule for determining direction. The use of Fleming's left-hand rule is emphasized for expressing the direction of the force in exams. The correct application of these principles leads to a definitive understanding of the magnetic force on the power line.

PREREQUISITES
  • Understanding of magnetic flux density (B) and its units
  • Knowledge of current (I) and its relationship to force in magnetic fields
  • Familiarity with the right-hand rule and Fleming's left-hand rule
  • Basic proficiency in vector cross products
NEXT STEPS
  • Study the derivation and application of F = ILB sin(θ) in electromagnetic contexts
  • Explore the principles of magnetic fields and forces on conductors
  • Learn about the right-hand rule and Fleming's left-hand rule in detail
  • Investigate real-world applications of magnetic forces in power transmission systems
USEFUL FOR

Students studying electromagnetism, electrical engineers, and anyone involved in power line design and analysis will benefit from this discussion.

samblue
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Homework Statement



A power line runs along the Earth's equator where the magnetic flux density, B, points from south to north and has a strength of 50*10-6T. The current in the line is 500A flowing from west to east. Find the magnitude and the direction of the fore acting on eath kilometer of the power line.

Homework Equations



F=qvBsintheta

diection is V cross B.

The Attempt at a Solution



I think I have to use the above equations, however i am unsure how to get the 500A cunnent into this? Is there a relationship linkng v and I? Also although i know how to do a cross product i am unsure how you present the direction, I know you have to use the right hand rule but how do you express this in the exam?

Thanks
 
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