Find the torque when a rectangular coil is placed in an uniform magnetic field and carrying current.
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torque is B I A
B is mag. field
I is current
A is area
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τ=NIABsinθ
We know that when an electric dipole is placed in external electric field then torque experienced by the dipole is
τ=P X E=PEsinθ
Where P is the electric dipole moment
comparing expression for torque experienced by electric dipole with the expression for torque on a current loop i.e ,
τ=(NIA)Bsinθ
if we take NIA as magnetic dipole moment (m) analogus to electric dipole moment (p),we have
m=NIA
then
τ=m X B
The coil thus behaves as a magnetic dipole
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