Question

# A charged particle is moving with velocity $$v$$ in a magnetic field of induction $$B$$. The force on the particle will be maximum when

A
v and B are in the same direction
B
v and B are in Opposite direction
C
v and B are perpendicular
D
v and B are at an angle of 45o

Solution

## The correct option is B $$v$$ and $$B$$ are perpendicularForce $$= q(\vec{V}\times \vec{B})$$$$= q VB \sin 0$$Where, $$0$$ is angle between velocity and magnetic field.So, $$\sin 0$$ is maximum when $$0$$ is $$90^o$$ or velocity is perpendicular to magnetic field.Physics

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