  We made a detailed study of the properties of the electron layer near the
quark surface of strange stars with strong ($\sim 10^{14}-10^{17}$G) magnetic
fields. The electrostatic potential and the electric field at the quark surface
were calculated as functions of the magnetic field intensity of bare strange
stars. Using an ultrastrong ($B\geq 2.5\times10^{16}$G) magnetic field, we
found that the distribution of electrons becomes an exponential function of
radial distance, which is quite different in a magnetic field-free case. We
also calculated the variation in gap width between the strange core and the
normal nuclear crust for strange stars, which is due to magnetic field effect.
