A particle with charge + Q and mass m enters a magnetic field of magnitude B , existing only to the right of the boundary Y Z . The direction of the motion of the particle is perpendicular to the dire

Question

A particle with charge + Q and mass m enters a magnetic field of magnitude B , existing only to the right of the boundary Y Z . The direction of the motion of the particle is perpendicular to the direction of B . Then, the time spent by the particle in the field will be

TestHub · Accepted Answer

F → = Q V → × B → F = Q V B Since this force is constant and is perpendicular to particle's direction of motion. Particle will move in a circle. ∴ Q V B = m V 2 R R = m V Q B ∴ Time required to travel π R distance t = π R V ⇒ t = π × m V Q B v = π m Q B t = π m Q B

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