At a place where the magnitude of the earth's magnetic field is \(4 \times 10^{-5} \, T\), a short bar magnet is placed with its axis perpendicular to the earth's magnetic field direction. If the resultant magnetic field at a point at a distance of 40 cm from the center of the magnet on the normal bisector of the magnet is inclined at \(45^\circ\) with the earth's field, the magnetic moment of the magnet is: