Attraction & Force of Parallel Conductors/Loops in Magnetic Field

AI Thread Summary
Two parallel conductors with current flowing in the same direction will attract each other, and this principle extends to circular loops placed parallel to each other, which will also attract under the same conditions. A current-carrying loop does experience a force when placed in a uniform magnetic field, contrary to the belief that its length vector l equals zero because the initial and terminal points are the same. The correct approach involves considering the loop as composed of infinitesimal segments, which can be summed to determine the total force. The analogy of the loop acting like a magnetic bar in a magnetic field further clarifies that it does not experience zero force. Understanding these concepts is crucial for analyzing the behavior of current-carrying loops 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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