Q. A hypothetical magnetic field existing in a region is given by B = B₀e_r where e_r denotes the unit vector along the radial direction. A circular loop of radius a , carrying current , is placed with its plane || to the X - Y plane and the centre is at ( 0 , 0 , d ). Find the magnitude of the magnetic force acting on the loop.
Is this physically possible ?

Question

Q. A hypothetical magnetic field existing in a region is given by B = B₀e_r where e_r denotes the unit vector along the radial direction. A circular loop of radius a , carrying current , is placed with its plane || to the X - Y plane and the centre is at ( 0 , 0 , d ). Find the magnitude of the magnetic force acting on the loop.

Is this physically possible ?

ROSHAN MUJEEB · Answer

dear student,
Required magnetic force
F=∫dF=∫(_(0)2πaidlbsinsinthiηF=∫dF=∫(_(0)2πaidlbsinsinthiη
=iB,aa−−√2+d2∫2πa0dL=iB,aa2+d2∫02πadL
` = (2 pi a^(2) B /(sqrt a^(2) + d^(2) ).
hope it helped

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