From the right-hand rule, if we know the direction of magnetic field encircling a conductor or the magnetic polarity of a coil, we can determine the:

Right-hand thumb rule

This law states that “If you imagine holding a current-carrying wire in your right hand with your thumb pointing towards the direction of electric current flow, then the direction in which your fingers curl gives the direction of lines of force of the magnetic field”.

Additional Information 
Fleming's Left-Hand Rule

Fleming’s Left-hand rule states that if the thumb, forefinger, and middle finger of the left hand are stretched into mutually perpendicular directions such that the index finger and middle finger of a stretched left hand direct the magnetic field and electric current respectively then the thumb shows the direction of motion or force acting on the conductor.

Fleming's Right-Hand Rule

Fleming’s Right-hand rule states that if we arrange our thumb, forefinger, and middle finger of the right-hand perpendicular to each other, then the thumb points toward the direction of the motion of the conductor relative to the magnetic field, the forefinger points toward the direction of the magnetic field and the middle finger points towards the direction of the induced current.