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A hypthetical magnetic field existing in...

A hypthetical magnetic field existing in a region is given by `vecB= B_0 vece_r,` where `vec_r` denotes the uit vector along the redial direction. A circular loop of radus a, carrying a current I, is placed with its plane parallel to the x-y plane and the centre at (0,0, d) .Find the magnitude of the magnetic force acting on the loop.

Text Solution

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Magnetic force due to `B cos theta` will be cancelled out. There will be no force due to magnetic field due to `B cos theta` in downward direction.

Required magnetic force
`F=int dF=int_0^(2pia) idlB sin theta=(2piia^2B)/(sqrt(a^2+d^2))`.
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