First slide
Force on a charged particle moving in a magnetic field
Question

A uniform magnetic field of magnitude 1 T exists in region y0  along  k^ direction as shown. A particle of charge 1 C is projected from point 3,  1 towards origin with speed 1 m/s. If mass of particle is 1 kg, then co-ordinates of centre of circle in which particle moves are

Moderate
Solution

The centre will be at 'C' as shown:
Coordinate of the centre are

rcos600,  r  sin  600

where  r=  radius  of  circle=mvBq=  1×  11×  1=  1

i.e.,       12,  32

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