Electromagnetism - Biot Savart's Law

A current i in a circular loop of radius b produces a magnetic field. At a fixed points far from the loop, the strength of the magnetic field is proportional to which of the following combinations of i and b?

A. ib
B. ib² 
C. i²b
D. i/b
E. i/b² 
(GR8677 #65)
Solution:

Applying the concept of magnetic dipole moment:
μ =  a vector quantity associated with the torque exerted by an external magnetic field on a current carrying coil

μ = IA = Iπr² = iπb²
Answer: B

Note: click HERE for complete calculation to show that magnetic field at a fixed distance x far away from a circular loop:

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