A magnetic needle suspended horizontally by a | vedclass

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(C) When a magnetic needle is suspended horizontally by an unspun silk fibre,it acts as a magnetic dipole in the Earth's magnetic field.When the needl

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The horizontal component of earth's magnetic field

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(C) When a magnetic needle is suspended horizontally by an unspun silk fibre,it acts as a magnetic dipole in the Earth's magnetic field.When the needle is slightly displaced from its equilibrium position,it experiences a restoring torque due to the interaction between its magnetic moment $M$ and the horizontal component of the Earth's magnetic field,denoted as $B_H$.The torque is given by $	au = M 	imes B_H = MB_H \sin 	heta$.For small angles,$\sin 	heta \approx 	heta$,so $	au \approx MB_H 	heta$.This torque acts to bring the needle back to its equilibrium position,causing it to oscillate in the horizontal plane. The unspun silk fibre is chosen specifically to minimize any torsion,ensuring that the restoring force is primarily due to the Earth's magnetic field.

$A$ magnetic needle suspended horizontally by an unspun silk fibre,oscillates in the horizontal plane because of the restoring force originating mainly from

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