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Question: Answered & Verified by Expert
In the presence of magnetic field ' $B$ ' and electric field ' $E$ ', the total force on a moving charged particle is
PhysicsMagnetic Effects of CurrentVITEEEVITEEE 2006
Options:
  • A $\overrightarrow{\mathrm{F}}=\overrightarrow{\mathrm{v}}[(\overrightarrow{\mathrm{q}} \times \overrightarrow{\mathrm{B}})+\overrightarrow{\mathrm{E}}]$
  • B $\overrightarrow{\mathrm{F}}=\mathrm{q}[(\overrightarrow{\mathrm{v}} \times \overrightarrow{\mathrm{E}})+\overrightarrow{\mathrm{B}}]$
  • C $\overrightarrow{\mathrm{F}}=\mathrm{q}[(\overrightarrow{\mathrm{v}} \times \overrightarrow{\mathrm{B}})+\overrightarrow{\mathrm{E}}]$
  • D $\overrightarrow{\mathrm{F}}=\overrightarrow{\mathrm{B}}[(\overrightarrow{\mathrm{q}} \times \overrightarrow{\mathrm{E}})+\overrightarrow{\mathrm{v}}]$
Solution:
1280 Upvotes Verified Answer
The correct answer is: $\overrightarrow{\mathrm{F}}=\mathrm{q}[(\overrightarrow{\mathrm{v}} \times \overrightarrow{\mathrm{B}})+\overrightarrow{\mathrm{E}}]$
Lorentz force on a charged particle in presence of magnetic and electic field is
$\begin{array}{l}
\overrightarrow{\mathrm{F}}=\overrightarrow{\mathrm{F}}_{\mathrm{e}}+\overrightarrow{\mathrm{F}}_{\mathrm{m}} \\
\Rightarrow \overrightarrow{\mathrm{F}}=\mathrm{q} \overrightarrow{\mathrm{E}}+\mathrm{q}(\overrightarrow{\mathrm{v}} \times \overrightarrow{\mathrm{B}})
\end{array}$

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