Fleming's left-hand rule states that if the left hand is held with the thumb, index finger, and middle finger mutually perpendicular to each other, then:
- The thumb points in the direction of motion (force),
- The index finger points in the direction of the magnetic field,
- The middle finger points in the direction of the current.
The force acting on a current-carrying conductor in a magnetic field depends on the following factors:
1. The strength of the magnetic field (\( B \)).
2. The magnitude of the current (\( I \)) passing through the conductor.
3. The length of the conductor (\( l \)) that is within the magnetic field.
The force is given by:
\[
F = B \cdot I \cdot l
\]
where \( F \) is the force, \( B \) is the magnetic field strength, \( I \) is the current, and \( l \) is the length of the conductor in the field.