Question

Two capacitor $C_{1}and{C}_2$ of capacity $6\mu Fand3\mu F$ respectively are charged to 100V and 50V separately and connected as shown in the figure. Now all the switches $S_1,S_2$ and $S_3$ are closed.

Charge on $C_{1}and{C}_2$ in steady state will be respectively,

• A. $400\mu Cand400\mu C$
• B. $700\mu Cand250\mu C$
• C. $800\mu Cand350\mu C$
• D. $300\mu Cand450\mu C$

Answer 1

The correct option is B $700\mu Cand250\mu C$

Let $q\left(\mu C\right)$ of charge flows from the battery. Then charges on both the capacitors will increase by ‘q’

Applying Kirchoff’s law,
$200-\left(\frac{600+q}{6}\right)-\left(\frac{150+q}{3}\right)=0$
$q=100\mu C$
$\therefore chargeson6\mu Fis700\mu C$
charges on $3\mu Fis250\mu C$
Charge flown $=100\mu C$