Yes, it behave like magnetic dipole, circular coil have dipole moment.

Equivalence between magnetic dipole and a solenoid:

For current I through a solenoid with total number of turns N and with cross-sectional area A , the magnetic dipole moment of the solenoid is given by

ms=NIA …………………. (i)

The magnetic dipole moment of a bar magnet of pole strength, m , and length, 2l , is given by

mb=2ml …………………..(ii)

By analogy between solenoid and bar magnet, the pole strength, ms , of the solenoid can be obtained using the above two equations as:

2msl=NIA

ms=NIA/2l=nIA,

where n=N/2l =no. of turns per unit length of solenoid.

Thus Pole-strength of solenoid =(Number of turns per unit length)X(electric current)X(cross-sectional area of solenoid).

NO, we can not calculate dipole moment of non magnetic dipole. because in non magnetic dipole will not exist in the direction of action its a vector form. so, unit vector should be towards each other means towards charge. If magnetic field will not be there this will not take place.