A particle of mass m and charge q enters a region where there is a uniform magnetic

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A particle of mass m and charge q enters a region where there is a uniform magnetic field B along the x axis. The initial velocity of the particle is v = v0x i + v0y j so the particle moves in a helix.

(a) Show that the radius of the helix is r = mv0y /qB. 

(b) Show that the particle takes a time t = 2πm/qB to make one orbit around the helix.

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