Question

The time in seconds required to produce a potential difference of 20V across a capacitor of 1000$\mu F$ when it is charged at the steady rate of 200$\mu C/sec$ is :

• A. $50$
• B. $100$
• C. $150$
• D. $200$

Answer 1

The correct option is B $100$

Given,
$C=1000\mu F$
$V=20V$
$Q=CV$
$Q=1000\times {10}^{-6}\times 20$
$Q=2\times {10}^{-2}C$
$\therefore$ total change required $=2\times {10}^{-2}C$
rate of charging $=200\times {10}^{-6}$C/s
$\therefore time=\frac{2\times {10}^{-2}}{200\times {10}^{-6}}$
$=100s$