CBSE 2023 · Region 5 · Set 1 · Q23 · 2 marks
Write the expression for the Lorentz force on a particle of charge $\displaystyle q$ moving with a velocity $\displaystyle \vec{\mathrm{v}}$ in a magnetic field $\displaystyle \vec{B}$. When is the magnitude of this force maximum ? Show that no work is done by this force on the particle during its motion from a point $\displaystyle \vec{r}_{1}$ to point $\displaystyle \vec{r}_{2}$.A long straight wire AB carries a current I. A particle (mass m and charge $\displaystyle q)$ moves with a velocity $\displaystyle \vec{\mathrm{v}}$, parallel to the wire, at a distance d from it as shown in the figure. Obtain the expression for the force experienced by the particle and mention its directions.
Write the expression for the Lorentz force on a particle of charge $\displaystyle q$ moving with a velocity $\displaystyle \vec{\mathrm{v}}$ in a magnetic field $\displaystyle \vec{B}$. When is the magnitude of this force maximum ? Show that no work is done by this force on the particle during its motion from a point $\displaystyle \vec{r}_{1}$ to point $\displaystyle \vec{r}_{2}$.
A long straight wire AB carries a current I. A particle (mass m and charge $\displaystyle q)$ moves with a velocity $\displaystyle \vec{\mathrm{v}}$, parallel to the wire, at a distance d from it as shown in the figure. Obtain the expression for the force experienced by the particle and mention its directions.
Marking-scheme solution
(a)
during motion.
\[\begin{aligned}
& =F\left|\overrightarrow{r_{2}}-\overrightarrow{r_{1}}\right| \cos 90^{\circ} \\
& =0
\end{aligned}
\]
(b)
Force experienced by charged particle
\[\overrightarrow{F_{m}}=q(\overrightarrow{\mathrm{v}} \times \vec{B})
\]
Moving Charges and MagnetismMagnetic ForceApplyvery_short_answermedium
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CBSE Class 12 Physics past-paper question from the 2023board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.