How large can the crust of a strange star be?

The effect of the magnetic field on the electrostatic potential of electrons inside and in close vicinity outside the quark surface of the star is studied. Depending on the value of the crust potential and the electron chemical potential at the base of the nuclear crust, we find that the strong surface magnetic field, 1.0 × 1014 ≤ H ≤ 3.0 × 1016 Gauss leads to a considerable reduction of the electrostatic potential which is responsible for holding the nuclear crust. For those values of the magnetic fields, strange stars are unlikely to possess a thick nuclear crust. The magnetic field intensity lying outside this range does not have any effect on the crust mass.