Why does the right hand rule work in determining the direction of a magnetic field around a current-carrying conductor?

The right hand rule works in determining the direction of a magnetic field around a current-carrying conductor because it follows the principles of electromagnetism. When a current flows through a conductor, it creates a magnetic field around it. By using the right hand rule, which involves pointing the thumb in the direction of the current and curling the fingers in the direction of the magnetic field, you can determine the direction of the magnetic field. This rule is based on the relationship between electric currents and magnetic fields as described by the laws of electromagnetism.