Magnetic field at any arbitrary point

 Magnetic field at any arbitrary point

Magnetic field at an arbitrary point
Magnetic field at an arbitrary point

From the figure above, the magnetic dipole moment m is along the axis. Let point P be any point at which magnetic field is to be determined. Thus the magnetic dipole moment is resolved into two component i.e axial and equatorial.

Thus magnetic field at point P due to axial component is,
Thus magnetic field at point P due to equatorial component is,


The resultant magnetic field is given by vector sum of  both component 
Equation no (3) gives the magnitude of the magnetic field at point P


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