Question

Initially capacitor is uncharged. at t=0 switch is closed charge on capacitor when current in the circuit is 10% of maximum current:

• A. $4\mu C$
• B. $8\mu C$
• C. $36\mu C$
• D. $16\mu C$

Answer 1

Answer: (C)

$36\mu C$

$Given:$ Initially capacitor is uncharged. At $t=0$ When switch is closed.

$Solution:$ Maximum current in the circuit is

$\frac{20}{10}=2A$

When current is $0.2A$

$\text{Apply KVL -}\text{KVL}$

$-\frac{q}{2}-0.2\times 10+20=0$

$\Rightarrow q=36\mu C$

$So,the$ $correct$ $option:C$