& Competitive Exams (Level-1)
Moving Charges and Magnetism 149
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16. Find magnetic moment in following cases
y,
B
RES
R
Х
R
NK
Z
(i)
(ii)
(Each segment is of length 1)
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Answer:
Hey mate
Explanation:
I think your answer is
Magnetic moment M=6 J/T
Magnetic field B=0.44 T
(a) :
(i) : Work done in rotating the magnet normal to the magnetic field W=MB(cosθ1−cosθ2)
where θ1=60o and θ2=90o
⟹ W=6×0.44(cos60o−cos90o)=6×0.44(0.5−0)=1.32 J
Work done in rotating the magnet opposite to the magnetic field W=MB(cosθ1−cosθ2)
where θ1=60o and θ2=180o
⟹ W=6×0.44(cos60o−cos180o)=6×0.44(0.5+1)=3.96 J
(b) : Torque in case (ii) τ=MB sinθ2
⟹ τ=6×0.44×sin180o=0
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