A uniform magnetic field (B) is perpendicular to and pointsinto the screen as sh

Question

A uniform magnetic field (B) is perpendicular to and pointsinto the screen as shown in the diagram A particle of mass mwith charge q moving in the plane of the screen enters the fieldwith an initial velocity v and moves along a curved path asshown. The radius of the particle is given by The sign of the charge of the particle that moves along thecurved path is : A uniform magnetic field (B) is perpendicular to and pointsinto the screen as shown in the diagram A particle of mass mwith charge q moving in the plane of the screen enters the fieldwith an initial velocity v and moves along a curved path asshown. The radius of the particle is given by The sign of the charge of the particle that moves along thecurved path is :

Explanation / Answer

The centripetal force F = mv2 / r The magnetic force F = Bqv sin ( here =90o) Therefore we have                        mv2 / r = B q v                  ==> r = m v / B q

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