Attraction & Force of Parallel Conductors/Loops in Magnetic Field

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SUMMARY

Two infinitely long straight conductors will attract each other when parallel and carrying current in the same direction. Similarly, circular loops placed with parallel planes and current flowing in the same direction will also attract. A current-carrying loop does experience a force when placed in a uniform magnetic field, despite the misconception that the vector length (l) is zero due to the loop's initial and terminal points being the same. The force can be calculated using the formula F = I (l X B), where l represents an infinitesimal arc of the loop.

PREREQUISITES
  • Understanding of electromagnetic theory
  • Familiarity with the formula F = I (l X B)
  • Basic knowledge of vector calculus
  • Concept of magnetic fields and forces on current-carrying conductors
NEXT STEPS
  • Study the principles of electromagnetic attraction between conductors
  • Explore the behavior of circular loops in magnetic fields
  • Learn about vector calculus applications in electromagnetism
  • Investigate the concept of magnetic moments in current-carrying loops
USEFUL FOR

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

sArGe99
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I know that two infinitely long straight conductors will attract each other when kept parallel if current flows in the same direction in both.
If two circular loops are placed such that their planes are parallel, current in the same direction, will they attract?

Also, does a loop carrying current experience any force if placed in a uniform magnetic field.
F = I (l X B)
l is a vector, so I believe l=0 for a loop since the initial and terminal points are the same. Is that correct?
 
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for ur last question, i have to say that it is incorrect to say l=0. if u know some calculus, u will have to deal with an infinitely small arc and then add them up. another way to think about it is to consider the loop a magnetic bar placed in a magnetic field. apparently, f is not 0
 
Oh.. Circular loop as an equivalent bar magnet.
I thought vector l = vector l(final) - vector l(initial)
Final and initial points are the same for a circular loop, so l=0
 

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