How can the direction of the force on the conductor be determined under the condition of the current being at right angles to the magnetic field?

In the scenario where the current is at right angles to the magnetic field, you can determine the direction of the force on the conductor using the right-hand rule. Point your index finger in the direction of the magnetic field (B), and extend your middle finger in the direction of the current (I). The force (F) acting on the conductor will be perpendicular to both the magnetic field and the current, so it is represented by your extended thumb. This right-hand rule illustrates that the force on the conductor is perpendicular to both the current and the magnetic field, providing a systematic way to determine its direction.