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Question

A rectangular loop of sides 10 cm and 5 cm carrying a current I and 12 A is placed in different orientations as shown in the figures above.
If there is a uniform magnetic field of 0.3 T in the positive z direction, in which orientations the loop would be in (i) stable equilibrium and (ii) unstable equilibrium?
299446_6326fabaeaa749398a9463bdb909e6c1.png

A
(A) and (B), respectively
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B
(A) and (C), respectively
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C
(B) and (D), respectively
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D
(B) and (C), respectively
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Solution

The correct option is C (B) and (D), respectively
U=M.B=MBCosθ
So, Umin when θ=00 Stable equilibrium
Umax when θ=1800 Untable equilibrium

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