current carrying wire experiences a force when its current is flowing perpendicularly to the direction of a magnetic field. similarly a beam of moving charged particles would also experience a force when a magnetic field is applied perpendicularly to the beam of particles.

- this diagram shows the force acting on a positively charged particle as it moves through a magnetic field.

- the magnetic field shown is acting into the plane of the paper.

- the direction of current is same as direction of motion of the charge, since charge is positive.

- as the charge enters magnetic field, the direction of force on the charge is given by Fleming’s left hand rule and is perpendicular to the path of travel.

- the resultant path is circular, with the force acting towards the centre of the circle.
- this diagram shows the force acting on a negatively charged particle in the same magnetic field.

- in this case direction of current is opposite to direction of motion of the charge.

- using Fleming’s left hand rule we can determine the motion as the charge enters the magnetic field.

- direction of force on the charge is again perpendicular to the direction of travel, but in the opposite direction to that of previous diagram.

- the resultant path is circular, with the force acting towards the centre of the circle.

similar to a the current carrying conductor, the force acting on a charged particle:

  • increases when the charge on the particle increases
  • increases when the magnetic field increases
  • is in the opposite direction if the particle is oppositely charged.
  • is in the opposite direction if the direction of magnetic field or velocity of charged particle is reversed.

Important

  • The current direction is the same as the direction of motion for a positive charge
  • But for a negative charge, current is in the opposite direction

Important

conditions required for particle to experience a force in magnetic field

  • particle must be charged (+ve or -ve)
  • particle must be moving, and not be parallel to magnetic field