M and $$3$$ M are the magnetic dipole moments of two bar magnets which are joined to form a cross $$(+)$$ structure. The combination is suspended freely in a uniform magnetic field . In the equilibrium position ,the angle between the bar magnet of magnetic moment M and the uniform magnetic field is

Question

M and  $$3$$ M are the magnetic dipole moments of two bar magnets which are joined to form a cross $$(+)$$ structure. The combination  is suspended freely in a uniform magnetic field . In the equilibrium position ,the angle between the bar magnet of magnetic moment M and the uniform magnetic field is

Infinity Learn · Accepted Answer

Let the magnet having magnetic moment M makes an angle θ with the magnetic field.Then, the magnet having magnetic moment $$3M$$ makes an angle (90$$−θ$$) with the  magnetic  field. In equilibrium, both the torques are balanced. MB $$sin$$⁡θ$$=3MBsin$$⁡$$(90$$−θ$$)=3MBcos$$⁡θ⇒$$tan$$⁡θ$$=3=$$$$tan$$⁡$$60$$∘⇒θ$$=60$$∘

M and $\sqrt{3}$ M are the magnetic dipole moments of two bar magnets which are joined to form a cross (+) structure. The combination is suspended freely in a uniform magnetic field . In the equilibrium position ,the angle between the bar magnet of magnetic moment M and the uniform magnetic field is

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M and 3 M are the magnetic dipole moments of two bar magnets which are joined to form a cross (+) structure. The combination is suspended freely in a uniform magnetic field . In the equilibrium position ,the angle between the bar magnet of magnetic moment M and the uniform magnetic field is

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Ready to Test Your Skills?

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