A moving charged particle q travelling along the positive x-axis enters a uniform magnetic field B. When will the force acting on q be maximum?

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Solution

Magnetic force acting on the charged particle $F = q v B sin θ$
where $θ$ is the angle between the velocity of particle $v$ and magnetic field $B$ .
So, for maximum force $sin θ = 1$
$⟹ θ = 90^{o}$
Hence, the magnetic field must be in the direction perpendicular to the velocity of particle. So, magnetic field must either be in y- axis or z-axis.

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