Magnetic Induction due to a Magnetic Dipole at any point

Two-dimensional polar coordinates are used. The magnetic dipole is at the origin. The θ = 0 line is taken along the direction of the dipole m. Field point has polar coordinating (r, θ).

We can resolve m into a component m cos θ along OP, i.e., along r and a component m sin θ.

The total magnetic induction at P is B (r, θ) = μ0 /4π {2m cos θ/r3 + m sin θ/r3 θ} =             ... (1)



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