Search any question & find its solution
Question:
Answered & Verified by Expert
To establish an instantaneous current of $2 \mathrm{~A}$ through a $1 \mu \mathrm{F}$ capacitor ; the potential difference across the capacitor plates should be changed at the rate of:
Options:
Solution:
2630 Upvotes
Verified Answer
The correct answer is:
$2 \times 10^6 \mathrm{~V} / \mathrm{s}$
$2 \times 10^6 \mathrm{~V} / \mathrm{s}$
As, C $=\frac{\mathrm{Q}}{\mathrm{V}}=\frac{\mathrm{It}}{\mathrm{V}}$
$$
\begin{aligned}
& \Rightarrow \frac{\mathrm{V}}{\mathrm{t}}=\frac{\mathrm{I}}{\mathrm{C}}=\frac{2}{1 \times 10^{-6}} \\
& =2 \times 10^6 \mathrm{~V} / \mathrm{s}
\end{aligned}
$$
$$
\begin{aligned}
& \Rightarrow \frac{\mathrm{V}}{\mathrm{t}}=\frac{\mathrm{I}}{\mathrm{C}}=\frac{2}{1 \times 10^{-6}} \\
& =2 \times 10^6 \mathrm{~V} / \mathrm{s}
\end{aligned}
$$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.