A conducting rod $P Q$ of length $1 \mathrm{~m}$ is moving with a uniform speed $2 \mathrm{~ms}^{-1}$ in a…
A conducting rod $P Q$ of length $1 \mathrm{~m}$ is moving with a uniform speed $2 \mathrm{~ms}^{-1}$ in a uniform magnetic field of $4 \mathrm{~T}$ which is directed into the paper. A capacitor of capacity $10 \mu \mathrm{F}$ is connected as shown in the figure. Then, the charge on the plates of the capacitor are
Charge on each plate should be
$
\begin{aligned}
& q=C V \\
& V=v B l \\
& q=C(v B l) \\
& =10 \times 10^{-6} \times 2 \times 4 \times 1 \\
& q=80 \mu \mathrm{C} \\
&
\end{aligned}
$
where,
So, charges on plates are $\pm 80 \mu \mathrm{C}$
