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Question

Force acting on a charged particle moving with velocity $\vec{v}$ is subjected to magnetic field $\vec{B}$ is given by

$\vec{F}=q(\bar{v} 	imes \v

Vedclass · Accepted Answer

angle between can have any value other than zero and $180^o .$

Vedclass · Answer

Force acting on a charged particle moving with velocity $\vec{v}$ is subjected to magnetic field $\vec{B}$ is given by

$\vec{F}=q(\bar{v} 	imes \vec{B}) \quad 	ext { or, } \quad F=q v B \sin 	heta$

$(i)$ When $	heta=0^{\circ}, F=q v B \sin 0^{\circ}=0$

$(ii)$ When $	heta=90^{\circ}, F=q v B \sin 90^{\circ}=q v B$

$(iii)$ When $	heta=180^{\circ}, F=q v B \sin 180^{\circ}=0$

This implies force acting on a charged particle is non-zero, when angle between $\bar{v}$ and $\bar{B}$ can have any value other than zero and $180^{\circ} .$

When a charged particle moving with velocity $\vec v$ is subjected to a magnetic field of induction $\vec B$, the force on it is non-zero. This implies that

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