^Vibration magnetometer

^Vibration magnetometer

A magnet free to vibrate about vertical axis passing through its CM is first kept in a non- magnetic hook along BH.

On deflecting it slightly by an amount θ, it experiences a restoring torque due to horizontal component of earth’s field BH

τ = M BH sinθ

≈M BH θ   [As sinθ ≈ θ, for small angle deflection.

Due to inertia of the magnet it start oscillating simple harmonically. We know from the theory angular SHM that linear frequency, angular frequency & time period of oscillations is,

Thus for this situation we have

Here, I = MI of the magnet


For two dissimilar magnets using

Here Ts = time period for the sum position & Td = time period for the difference position.

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