a small ring of radius r and mass m carrying a current g is placed at the centre of large ring of mass M and radius R    R>>>>r      and carries a current finitially the plane of the two rings are having plane perpendicular  to each other and overlappingif the smaller ring is disturbed slightly find the maximum  angular velocity of the smaller ring

ROSHAN MUJEEB
3 years ago

orque due to the magnetic fieldτmag​=μ​×B
Let the wire loop be in xy plane.
Letμ​=μk^
B=B0​(−i^)
∴τ=μk^×B(−i^)=μB(−j^​)=IAB0​(−j^​)
Torque due to the weight mg isτmg​=mgR where R is the radius of the circle.
If the loop does not tilt both the torques need to balance each other.
∴IAB0​=mgR
⇒I=AB0​mgR​=πR2B0​mgR​=πRB0​mg​
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