(a) Magnetic dipole moment of a current is given by
$M = NIA$
where $N =$ number of turns
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ I =$ current in a loop
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ A =$ area of the loop
From the above relation it is clear that magnetic dipole moment of a current loop is independent of the magnetic field in which it is lying.