Q91 / 120 · VITEEE 2006 · Physics

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

  • A
    $\overrightarrow{\mathrm{F}}=\overrightarrow{\mathrm{v}}[(\overrightarrow{\mathrm{q}} \times \overrightarrow{\mathrm{B}})+\overrightarrow{\mathrm{E}}]$
  • B
    $\overrightarrow{\mathrm{F}}=\mathrm{q}[(\overrightarrow{\mathrm{v}} \times \overrightarrow{\mathrm{E}})+\overrightarrow{\mathrm{B}}]$
  • Correct answer
    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

Lorentz force on a charged particle in presence of magnetic and electic field is $\begin{array}{l} \overrightarrow{\mathrm{F}}=\overrightarrow{\mathrm{F}}_{\mathrm{e}}+\overrightarrow{\mathrm{F}}_{\mathrm{m}} \\ \Rightarrow \overrightarrow{\mathrm{F}}=\mathrm{q} \overrightarrow{\mathrm{E}}+\mathrm{q}(\overrightarrow{\mathrm{v}} \times \overrightarrow{\mathrm{B}}) \end{array}$

Hence, the correct answer is option: 'C'.

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