during motion of a particle in a magnetic field when v perpendicular to B why is it said that magnitude of velocity will not change but momentum will change?
during motion of a particle in a magnetic field when v perpendicular to B why is it said that magnitude of velocity will not change but momentum will change?
When a charged particle moves with a velocity which is perpendicular to an external magnetic field, the charged particle experiences a force, F = qvB. This force makes the particle revolve in a circular path. Since, the magnitude of the force is constant, the centripetal force of revolution is constant, hence, the charge particle is in a uniform circular motion. In a uniform circular motion, the magnitude of velocity, speed, remains constant. Now, momentum is a vector quantity and is dependent on the velocity. Since, velocity of the charged particle changes at eery instant the momentum also changes at every instant.
When a charged particle moves with a velocity which is perpendicular to an external magnetic field, the charged particle experiences a force, F = qvB. This force makes the particle revolve in a circular path. Since, the magnitude of the force is constant, the centripetal force of revolution is constant, hence, the charge particle is in a uniform circular motion. In a uniform circular motion, the magnitude of velocity, speed, remains constant. Now, momentum is a vector quantity and is dependent on the velocity. Since, velocity of the charged particle changes at eery instant the momentum also changes at every instant.
