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Q. A hypothetical magnetic field existing in a region is given by B = B 0 e 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 ?


Q. A hypothetical magnetic field existing in a region is given by B = B0er where er 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 ?


Grade:upto college level

1 Answers

ROSHAN MUJEEB
askIITians Faculty 833 Points
3 years ago
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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