The force acting on a current carrying conductor placed in a magnetic field is

Correct option is A

The correct answer is:(A) perpendicular to the direction of current and magnetic field

The force acting on a current-carrying conductor placed in a magnetic field is given by Lorentz Force, which is the result of the interaction between the magnetic field and the current flowing in the conductor.

The direction of the force is determined by Fleming's Left-Hand Rule, which states:

• Thumb: Represents the direction of the force.
• First Finger: Represents the direction of the magnetic field.
• Middle Finger: Represents the direction of current.

According to this rule, the force is always perpendicular to both the magnetic field and the current.

Key Points:

1. Magnetic Force Formula:
   The force on a conductor is given by:

   $$F=ILB\sin \theta$$

   where:

   • $F$: Magnetic force
   • $I$: Current in the conductor
   • $L$: Length of the conductor in the magnetic field
   • $B$: Magnetic field strength
   • $\theta$: Angle between the conductor and the magnetic field.

2. Maximum Force:
   The force is maximum when $$\theta = 90^\circ$$​ i.e., when the conductor is perpendicular to the magnetic field.

3. Direction of Force:
   

   Always perpendicular to both the current and the magnetic field.