Magnetic and Electric Fields problem

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SUMMARY

The discussion centers on the relationship between gravitational force and magnetic force acting on a current-carrying wire, specifically in the context of Oersted's law. Participants explore the condition where the gravitational force (fg) equals the magnetic force (fm) to determine the necessary current (I) for a wire to "float" in a magnetic field. The calculation involves determining the magnetic field (B) required for a wire carrying 40 A of current and the current needed in a second wire to generate that magnetic field at a specified distance.

PREREQUISITES
  • Understanding of Oersted's law
  • Knowledge of magnetic fields and forces
  • Familiarity with current-carrying conductors
  • Basic principles of electromagnetism
NEXT STEPS
  • Calculate magnetic field strength using the formula B = μ₀(I/2πr)
  • Explore the implications of current direction on magnetic force
  • Investigate the effects of varying current on the stability of floating wires
  • Study applications of Oersted's law in real-world electromagnetic systems
USEFUL FOR

Physics students, electrical engineers, and educators looking to deepen their understanding of electromagnetic forces and their applications in current-carrying conductors.

davidj
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Homework Statement
A straight wire of linear mass density 150 g/m has a
current of 40.0 A (supplied by a flexible connection of
negligible mass). This wire lies parallel to, and on top
of, another straight horizontal wire on a table. What
current must the bottom wire have in order to repel
and support the top wire at a separation of 4.0 cm
Relevant Equations
fg = mg
fm = qvbsin(theta)
BIL = mg
Would i assume that fg = fm (force gravity holding straight wire down is equal to the magnetic force) and isolate for I?

Help if you're available please!
 
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Are you familiar with Oersted's law?
 
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yes i am but how you mind explaining how its applicable in this situation
 
davidj said:
yes i am but how you mind explaining how its applicable in this situation
The wire that is supposed to "float" is subjected to the magnetic field that comes from the wire that is lying on the table.

First, calculate what B is required for the wire with 40 A current to "float". Then you figure out what current is required in the cable lying on the table to produce this magnetic field at the desired distance.
 

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