Neutrino Magnetic Moment and Solar Neutrino Experiments

We have studied the effect of a non-vanishing neutrino magnetic moment \ ($\mu_{\nu}$) on the $\nu_{\rm x}$ ({x=$e,\mu,\tau$}) elastic scattering off electrons for the Super-Kamiokande detector. The bounds on the $\mu_{\nu}$ we have obtained are comparable to that extracted from laboratory experiments. Furthemore, we outline the potential of the Borexino experiment which may be sensitive to neutrino magnetic moments $\lsim 10^{-10}\mu_B$. In our analysis we have considered both cases of Majorana and Dirac neutrinos.