find moment for fig 3
16. Find magnetic moment in following cases
(Each segment is of length /)
Dear student,
1)Magnitude of Magnetic moment = iA = πr2i
The direction is perpendicular to plane of the loop.
2) Magnetic moment due to both semicircles have same magnitude = πr2i/2
These are perpendicular to each other so the resultant magnetic moment is = ((πr2i/2)2 + (πr2i/2)2 )1/2 = πr2i/2 x √2 = πr2i/√2
The direction is 450 in the x y plane.
3) For this case there are 3 surfaces. Consider surface in xy plane. The magnitude of magnetic moment is = i x l2
The direction will be along z axis.
So for all three surfaces we will get 3 magnetic moments along x, y and z axis respectively.
Thus Magnetic moment = il2(i + j + k)
1)Magnitude of Magnetic moment = iA = πr2i
The direction is perpendicular to plane of the loop.
2) Magnetic moment due to both semicircles have same magnitude = πr2i/2
These are perpendicular to each other so the resultant magnetic moment is = ((πr2i/2)2 + (πr2i/2)2 )1/2 = πr2i/2 x √2 = πr2i/√2
The direction is 450 in the x y plane.
3) For this case there are 3 surfaces. Consider surface in xy plane. The magnitude of magnetic moment is = i x l2
The direction will be along z axis.
So for all three surfaces we will get 3 magnetic moments along x, y and z axis respectively.
Thus Magnetic moment = il2(i + j + k)
Hope this information will clear your doubts about topic.
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