Question

How to find velocity of a charged particle when the magnetic field vector is given?

Answer 1

Magnetic Force Formula (Charge-Velocity)

= magnetic force vector (Newtons, N) q = charge of a moving particle (Coulombs, C)

= particle velocity vector (m/s) v = particle velocity magnitude (m/s)

= magnetic field vector (Teslas, T) B = magnetic field magnitude (Teslas, T)

= angle between velocity and magnetic field vectors (radians)

Answer 2

When a charged particle moves in a magnetic field, a force is exerted on the moving charged particle. The formula for the force depends on the charge of the particle, and the cross product of the particle's velocity and the magnetic field. The direction of the force vector can be found by calculating the cross product if vector directions are given, or by using the "right hand rule". Imagine your right hand with your index finger pointed in the direction of the particle's velocity vector. Then, curl your fingers in the direction of the magnetic field vector. The direction of your thumb is the direction of the cross product of the vectors. If the charge is positive, the direction of the force will be in the direction of your thumb. If the charge is negative, the direction of the force will be the opposite. The unit of force is Newtons (N), the unit of charge is Coulombs (C), the unit of velocity is meters per second (m/s), and the unit of magnetic field is Teslas (T).

F=qvB




F= magnetic force vector (Newtons, N)

q = charge of a moving particle (Coulombs, C)

v= particle velocity vector (m/s)

B= intensity of magnetic field