Magnetic field on equator

_{Magnetic field on equator}

Magnetic field on equator

Consider a bar magnet as given in  the figure above, having magnetic strength -m and +m seperated by a distance 2l. Let P be any point on the equator where magnetic induction is to be determined. Let the distance between Centre and point P is r. 

then from fig,

 l(OS) =  (ON) = l

NP²  = SP²  = r²+l²

^{Let Ø be the angle made by line NP and SP with axis of a dipole.}

^{The magnetic field at point P due to north pole is given by,}

^{The magnetic field at point P due to south pole is given by,}

The direction of B2 is along PS and represented by PT.

The component B1cosØ and B2cosØ are along diagonal PR and gets added .

thus resultant vector B is given by,

But from fig,

But for short dipole r>>>>l , higher power of l can be neglected

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Related Topics: Introduction   Magnetic Dipole Moment    Magnetic Field on-axis    magnetic field on equator    Magnetic field at any arbitrary point    Earth's Magnetism  

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