Q. Lorentz force can be calculated by using the formula
A) $\overrightarrow{F} = q(\overrightarrow{E} + \overrightarrow{v} \times \overrightarrow{B})$
B) $\overrightarrow{F} = q(\overrightarrow{E} - \overrightarrow{v} \times \overrightarrow{B})$
C) $\overrightarrow{F} = q(\overrightarrow{E} + \overrightarrow{v} \bullet \overrightarrow{B})$
D) $\overrightarrow{F} = q(\overrightarrow{E} \times \overrightarrow{B} + \overrightarrow{v})$
Explanation
(a) Lorentz force is given by
$\overrightarrow{F} = \overrightarrow{F_{e}} + \overrightarrow{F_{m}} = q\overrightarrow{E} + q\left( \overrightarrow{v} \times \overrightarrow{B} \right) = q\left\lbrack \overrightarrow{E} + \left( \overrightarrow{v} \times \overrightarrow{B} \right) \right\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.