The stability of supermagnetosonic current-carrying jets is examined o
n the basis of ideal magnetohydrodynamics. The stability properties ar
e compared to hydrodynamic and magnetohydrodynamic flows that carry no
poloidal current. This allows to separate the effects of a purely pol
oidal magnetic field and a helical configuration corresponding to an e
lectric current. Two equilibria with different current profile represe
ntative of an early propagation phase and of a kpc-jet surrounded by a
cocoon are considered. The currents are in both cases balanced by a r
eturn current of equal size. A normal mode analysis is performed and r
esults are presented for the pinch and kink modes. Current-carrying je
ts prove to be more stable than their current-free counterparts. Short
wavelength instabilities are suppressed for both the current-carrying
and current-free magnetically dominated jet, in contrast to the purel
y hydrodynamic one. This permits an effective energy transport in acco
rdance with the observed low surface brightness of jets in FR 2 radios
ources. The jets in powerful radiosources are likely to be supermagnet
osonic and carry large electric currents. The domain of maximal instab
ility of current-carrying jets is shifted towards longer wavelengths c
ompared to flows without currents. This provides them with an enhanced
stiffness. The results give strong support to the hydromagnetic origi
n of jets.