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Question

(A) When a charge $q$ moves with velocity $\overrightarrow{v}$ in a region containing both an electric field $\overrightarrow{E}$ and a magnetic field

Vedclass · Accepted Answer

$q \overrightarrow{E} + q (\overrightarrow{v} 	imes \overrightarrow{B})$

Vedclass · Answer

(A) When a charge $q$ moves with velocity $\overrightarrow{v}$ in a region containing both an electric field $\overrightarrow{E}$ and a magnetic field $\overrightarrow{B}$,it experiences two forces:$1$. The electric force: $\overrightarrow{F_e} = q\overrightarrow{E}$$2$. The magnetic force (Lorentz force): $\overrightarrow{F_m} = q(\overrightarrow{v} 	imes \overrightarrow{B})$The total force,known as the Lorentz force,is the vector sum of these two forces:$\overrightarrow{F} = \overrightarrow{F_e} + \overrightarrow{F_m} = q\overrightarrow{E} + q(\overrightarrow{v} 	imes \overrightarrow{B})$Therefore,the correct option is $A$.

$A$ charge $q$ moves in a region where both an electric field and a magnetic field exist. The total force on it is:

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