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Dear student,
When a current is passed through the coil in the direction PQRS, then the coil experiences a torque
t = NIBA sina
Since the magnified field is radial the plane of the coil is parallel to the magnetic field such that a = 90o and hence t = NIBA.
The coil rotates and the phosphor bronze strip gets twisted. As a result a restoring torque comes into play trying to restore the coil back to original position.
If f be the twist produced in the strip and C be the restoring torque per unit twist then the restoring torque = Cf.
In equilibrium,
where G is the galvanometer constant.
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