Magnetic Effects Of Current Question 251
Question: A ring of radius 5 m is lying in the x-y plane and is carrying current of 1 A in anti-clockwise sense. If a uniform magnetic field $ \vec{B}=3\hat{i}+4\hat{j} $ is switched on, then the co-ordinates of point about which the loop will lift up is
Options:
A) (3, 4)
B) (4, 3)
C) (3, 0)
D) (0, 3)
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Answer:
Correct Answer: A
Solution:
[a] Magnetic moment $ \vec{M}=\pi r^{2}i\hat{i} $ and $ \vec{B}=3\hat{i}+4\hat{j} $
$ \therefore \vec{\tau }=\vec{M}\times \vec{B}=\pi r^{2}(3\hat{i}-4\hat{i}) $ $ \vec{\tau } $ will be along the direction shown. Hence, the point about which the loop will be lift up will be (3, 4)
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