the path of charge partical perpendicular to uniform megnetic field
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Hey mate...... Here is the correct answer :
it's the magnetic flux
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A particle with charge  moving with velocity  in a uniform magnetic field  experiences a force:

The force on the particle is perpendicular to both the velocity and magnetic field and thus does no work on the particle.

If the velocity is perpendicular to the magnetic field, the particle moves in a circle of radius  with centripetal acceleration . Equating the magnetic force to the particle mass  times the centripetal acceleration, we can show that the radius of gyration (or gyroradius) of the particle is equal to .