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Derive expression for the magnetic field of a magnetic dipole

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Answered by rafseedap
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Physics

Magnetism and Matter

Magnetisation and Magnetic Intensity

Derive an expression for ma...

PHYSICS

Derive an expression for magnetic field intensity due to a magnetic dipole at a point lies on its equatorial line.

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Consider a point P on equatorial (or broad side on position) of short bar magnet of length 2I, having north pole (N) and south pole (S) of strength +qm and −qm respectively. The distance of point P from the mid-point (O) of magnet is r. Let B1 and B2 be the magnetic field intensities due to north and south poles respectively. NP=SP=r2+l2. 

vecB1=4πμ0r2+l2qm along N to P 

vecB2=4πμ0r2+l2q

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