A) \[\overrightarrow{F}=q\,(\overrightarrow{E}+\overrightarrow{v}\times \overrightarrow{B})\]
B) \[\overrightarrow{F}=q\,(\overrightarrow{E}-\overrightarrow{v}\times \overrightarrow{B})\]
C) \[\overrightarrow{F}=q\,(\overrightarrow{E}+\overrightarrow{v}\cdot \overrightarrow{B})\]
D) \[\overrightarrow{F}=q\,(\overrightarrow{E}\times \overrightarrow{B}+\overrightarrow{v})\]
Correct Answer: A
Solution :
Lorentz force is given by \[\overrightarrow{F}=\overrightarrow{{{F}_{e}}}+\overrightarrow{{{F}_{m}}}=q\overrightarrow{E}+q(\overrightarrow{v}\times \overrightarrow{B})=q[\overrightarrow{E}+(\overrightarrow{v}\times \overrightarrow{B})]\]
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