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Question

Physics Question on Magnetic Force

In the presence of magnetic field ?B? and electric field ?E?, the total force on a moving charged particle is

A

F=V[(q?B)+E]\vec{F}=\vec{V}[(\vec{q}?\vec{B})+\vec{E}]

B

F=q[(v?E)+B]\vec{F}=q[(\vec{v}?\vec{E})+\vec{B}]

C

F=q[(v?B)+E]\vec{F}=q[(\vec{v}?\vec{B})+\vec{E}]

D

F=B[(q?E)+V]\vec{F}=B[(\vec{q}?\vec{E})+\vec{V}]

Answer

F=q[(v?B)+E]\vec{F}=q[(\vec{v}?\vec{B})+\vec{E}]

Explanation

Solution

Lorentz force on a charged particle in presence of magnetic and electic field is
F=Fe+Fm\vec{F}=\vec{F_e}+\vec{F_m}
F=qE+q(v?B)\Rightarrow \vec{F}=q\vec{E}+q(\vec{v}?\vec{B})