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(A) The Lorentz magnetic force acting on a charged particle is given by $\vec{F} = q(\vec{v} 	imes \vec{B})$.Since the force $\vec{F}$ is the cross p

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zero

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(A) The Lorentz magnetic force acting on a charged particle is given by $\vec{F} = q(\vec{v} 	imes \vec{B})$.Since the force $\vec{F}$ is the cross product of velocity $\vec{v}$ and magnetic field $\vec{B}$,the force is always perpendicular to the velocity vector $\vec{v}$.The work done $W$ by a force is given by the dot product $W = \int \vec{F} \cdot d\vec{r} = \int \vec{F} \cdot \vec{v} dt$.Because $\vec{F} \perp \vec{v}$,the dot product $\vec{F} \cdot \vec{v} = 0$.Therefore,the work done by the magnetic force on a charged particle is always zero.

The Lorentz magnetic force is acting on a particle of charge $q$ moving with velocity $\vec{v}$ in a magnetic field $\vec{B}$. The work done by this force on the charged particle is

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