The nonaxisymmetric magnetodynamic instability of a streaming liquid j
et endowed with surface tension and ambient with force-free magnetic f
ield has been developed. The boundary value problem is formulated, sim
plified and solved. Upon applying the pressure balance across the pert
urbed interface, a general dispersion relation is derived and discusse
d. Some stability criteria are obtained as limiting cases. The capilla
ry force is destabilizing only in a small domain of axisymmetric distu
rbance while it is stabilizing otherwise. The streaming has a strong d
estabilizing effect in all modes of perturbation and that influence is
independent of the perturbed wavelength. The uniform magnetic held in
terior the liquid jet is stabilizing in all modes of perturbation. Eac
h of the longitudinal and azimuthal Lundquist force-free fields separa
tely is stabilizing but their combined effect is extensively destabili
zing. The principle of the exchange of stability is allowed for the pr
esent model due to the non-uniform molity behaviour of the force-free
fields. In spite of all that the electro-magnetic force stresses are a
ble to endow the fluid with a sort of rigidity that improves the stabi
lity states.