A charged capacitor and an inductor are connected in series. At time $t=0$, the current is zero but the capacitor is charged. If $T$ is the period of resulting oscillations, then the time after which current in the circuit becomes maximum, is

Two resistors are connected across an $\mathrm{AC}$ source of $5 \mathrm{V}.$ The $\mathrm{P}.\mathrm{D}.$ across $6\mathrm{\Omega }$ is $3 \mathrm{V}.$ If resistor$R$  is replaced by a pure inductor of such magnitude that the value of current remains same, then the voltage across inductor is 

Refer to the series $LCR \mathrm{AC}$ circuit. Find the value of $V_3.$

The inductance of a coil in which a current $0.1 \mathrm{A}$ is increasing at the rate of $0.5 \mathrm{A} {\mathrm{s}}^{-1}$ represents a power flow of $\frac{1}{2}$ watt is

Switch is in position $A$ for long time$.$ At time $t=0$ it is shifted to position $B$$.$Find the maximum charge that will accumulate on capacitor$.$