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A particle having charge q = 10 muC is m...

A particle having charge `q = 10 muC` is moving with a velocity of `V=10^(6)m//s`in a direction making an angle of 45° with positive x axis in the xy plane (see figure). It expe- riences a magnetic force along negative z direction. When the same particle is projected with a velocity `v' = 10^(6) m//s `in positive z direction, it experiences a magnetic force of 10 mN along X direction. Find the direction and magnitude of the magnetic field in the region.

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