A thin coil at the origin of the coordinate system has $100$ turns, radius $1\mathrm{.}4$cm and current $2$A$.$ the magnetic field due to the coil at points on a circle in the xy plane with radius significantly greater than the radius of the coil . model the coil as a magnetic dipole. the dipole approximation for a current carrying loop of wire is valid for r$>>$R$.$ remember that the field of a dipole is twice as large at a location on the dipole axis as it is on the perpendicular axis at an equal distance from the center of the coil. if you apply this approximation to the coil what is the magnetic dipole moment of the coil?