In the circuit shown in figure  $S_1$ is open and $S_2$  and $S_3$ are closed. The circuit is in steady state. At time  $t=0$, switch  $S_1$ is closed and  $S_2$ and $S_3$ are opened simultaneously  $V=100volt,R=10\Omega ,C=100\mu F,L=0.03H$. Find the maximum charge that will appear on the  capacitor at any time (in coulomb)

 At time  $t=0^{+},$ situation is as shown below $q=CV=100\times {10}^{-6}\times 100=0.01C$  
 Energy stored in the capacitor $U_1=\frac{1}{2}C{V}^2=\frac{1}{2}\times 100\times {10}^{-6}\times {100}^2=0.5J$   
 Energy stored in the Inductor $U_2=\frac{1}{2}L{I}^2=\frac{1}{2}\times 0.03\times {10}^2=1.5J$    
 When charge on capacitor become maximum energy stored  in is $U_1+U_2=2J$

$\Rightarrow \frac{q_0^2}{2C}=2 \Rightarrow q_0^2=4\times 100\times {10}^{-6}$

$q_0=2\times {10}^{-2}=0.02C$