A) \[q\,\vec{v}\,\times \,\vec{B}\]
B) \[q\,\vec{E}+q\,\vec{v}\,\times \,\vec{B}\]
C) \[q\,\vec{B}+q\,\vec{B}\,\times \,\vec{v}\]
D) \[q\,\vec{B}+q\,(\vec{E}\times \vec{v})\]
Correct Answer: B
Solution :
If \[\vec{E}\] is the electric field strength and \[\vec{B}\] the magnetic field strength and q the charge on a particle, then electric force on the charge \[{{\vec{F}}_{e}}=q\,\vec{E}\] and magnetic force on the charge \[{{\vec{F}}_{m}}=q\,\vec{v}\times \vec{B}\] The net force on the charge \[\vec{F}={{\vec{F}}_{e}}+{{\vec{F}}_{m}}=q\,\vec{E}+q\,\vec{v}\times \vec{B}\]
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