Question

Show that current loop as a magnetic dipole? 

Answer 1

When x >>R, (i.e at a long distance from O along the x-axis), 

here m = NIA called Magnetic dipole moment of the loop and A = R2, the circular area of the loop. 

Similarly in electrostatics, for an electric dipole, electric field due to the dipole along its axis, ; 

here p_e is the electric dipole moment. 

This shows the current carrying circular loop is equivalent to a magnetic dipole.